Technical Reports Numbered 1- 527

1. K. C. S. Pillai. On the moments of elementary symmetric functions of the roots of two matrices and approximations to their distributions. Read Full Report

2. M. F. Neuts. An inventory model with an optional time lag. Read Full Report

3. S. S. Gupta and K. C. S. Pillai. On the distribution of a linear function of ordered correlated normal random variables with emphasis on range. Read Full Report

4. (1963) M. S. Patel. On selecting the factors of experimentation. Read Full Report

5. (1963) S. S. Gupta, B. K. Shah. Exact moments and percentage points of the order statistics and the distribution of the range from the logistic distribution. Read Full Report

6. (1963) M. S. Patel. A note on Watson's paper. Read Full Report

7. (1963) M. F. Neuts. Generating functions for Markov renewal processes. Read Full Report

8. (1963) K. C. S. Pillai. On the non-central distribution of the sum of two characteristic roots and the monotonicity of the power function of associated tests. Read Full Report

9. (1963) K. C. S. Pillai. On the distribution of the largest of seven roots of a matrix in multivariate analysis. Read Full Report

10. P. H. Randolph. A simple model for studying active defense against ballistic missiles. Read Full Report

11. K. C. S. Pillai. On the non-central multivariate beta distribution and the moments of traces of some matrices. Read Full Report

12. (1964) Y. S. Chow. A martingale convergence theorem of Ward's type. Read Full Report

13. S. S. Gupta, K. C. S. Pillai. On linear functions of ordered correlated normal random variables. Read Full Report

14. Y. S. Chow. Local convergence of martingales and law of large numbers. Read Full Report

15. S. S. Gupta, M. N. Gnanadesikan. Estimation of the parameters of the logistic distribution. Read Full Report

16. (1964) Y. S. Chow, H. Robbins. On optimal stopping rules for sn/n. Read Full Report

17. (1964) K. C. S. Pillai. On the moments of elementary symmetric functions of the roots of two matrices. Read Full Report

18. (1964) M. F. Neuts. The single server queue with Poisson input and semi-Markov service times, I. Read Full Report

19. (1964) S. S. Gupta, M. N. Waknis. A system of inequalities for the incomplete gamma functions and the normal integral. Read Full Report

20. (1964) M. F. Neuts. The single server queue with Poisson input and semi-Markov service times, II. Read Full Report

21. (1965) S. S. Gupta. On some multiple decision (selection and ranking) rules. Published in Technometrics, Vol. 7, No. 2, May 1965.

22. (1964) K. C. S. Pillai. On the distribution of the largest characteristic root of a matrix in multivariate analysis. Read Full Report

23. (1964) K. C. S. Pillai. On elementary symmetric functions of the roots of two matrices in multivariate analysis. Read Full Report

24. (1964) S. M. Samuels. On a Chebyshev-type inequality for sums of independent random variables. Published in the Annals of Mathematical Statistics, Vol. 37, pp. 248-259, 1966.

25. (1964) M. F. Neuts. The single server queue with Poisson input and semi-Markov service times III. Read Full Report

26. (1964) M. F. Neuts. The busy period of a queue with batch service. Read Full Report

27. (1964) S. M. Samuels. On the number of successes in independent trials. Published in the Annals of Mathematical Statistics, Vol. 36, pp. 1271-1278, 1965.

28. (1963) Y. S. Chow, S. Moriguti, H. Robbins, S. M. Samuels. Optimal selection based on relative rank (the "Secretary Problem"). Published in Israel Journal of Mathematics, Vol. 2, pp. 81-90, 1964.

29. (1964) R. E. Barlow, S. S. Gupta. Distribution-Free life test sampling plans. (Now in reprint form). Read Full Report

30. (1965) Y. S. Chow, H. Robbins. On the asymptotic theory of fixed-width sequential confidence intervals for the mean. Published in The Annals of Mathematical Statistics, Vol. 26, No. 2, April, 1965.

31. (1965) S. S. Gupta. Selection and ranking procedures and order statistics for the binomial distribution. Reprints not available. Published in Classical and Contagious Discrete Distributions, Editor G. P. Patil, Pergamm Press and Statistical Publishing Society, 1965.

32. (1964) Y. S. Chow, H. Robbins, H. Teicher. Moments of randomly stopped sums. Read Full Report

33. (1964) R. G. Khazanie, H. E. McKean. A mendelian Markov process with binomial transition probabilities. Read Full Report

34. (1964) K. C. S. Pillai, A. K. Gupta. On the moments of the second elementary symmetric function of the roots of a matrix. Read Full Report

35. (1965) C. G. Khatri, K. C. S. Pillai. Some results on the non-central multivariate beta distribution and moments of traces of two matrices. Read Full Report

36. (1965) R. G. Khazanie, H. E. McKean. A mendelian Markov process with multinomial transition probabilities. Read Full Report

37. (1965) M. F. Neuts. Semi-Markov analysis of a bulk queue. Read Full Report

38. (1965) C. G. Khatri, K. C. S. Pillai. Further results on the non-central multivariate beta distribution and moments of traces of two matrices. Read Full Report

39. (1965) K. C. S. Pillai. On a class of multivariate test criteria. Read Full Report

40. (1965) P. H. Randolph. A special team decision problem and its solution through stochastic programming. Read Full Report

41. (1965) Y. S. Chow. On the moments of some one-sided rules. Read Full Report

42. Y. S. Chow, H. Robbins. On optimal stopping in a class of uniform games. Published in the Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability (June 21-July 18, 1965 and December 27, 1965 - January 7, 1966).

43. (1965) S. S. Gupta. On some selection and ranking procedures for multivariate normal populations using distance functions. Read Full Report

44. (1966) R. A. McLean, V. L. Anderson. Extreme vertices design of mixture experiments. Published in Technometrics, Vol. 8, No. 3, August 1966.

45. (1965) J. J. Deely. Multiple decision procedures from an empirical Bayes approach. Read Full Report

46. (1965) M. F. Neuts. A general class of bulk queues with Poisson input. Read Full Report

47. (1965) M. F. Neuts. An alternative proof of a theorem of Takacs on the GI/M/1 queue. Read Full Report

48. (1966) B. K. Shah. On the bivariate moments of order statistics from a logistic distribution and applications. Published in the Annals of Mathematical Statistics, Vol. 37, No. 4, August, 1966.

49. (1965) S. S. Gupta, J. J. Deely. On the properties of subset selection procedures. (Now in reprint form). Read Full Report

50. (1965) K. C. S. Pillai, A. K. Gupta. On the distribution of the second elementary symmetric function of the roots of a matrix. Read Full Report

51. (1965) K. C. S. Pillai. On the non-central distributions of the largest roots of two matrices in multivariate analysis. Read Full Report

52. (1965) S. S. Gupta, A. S. Qureishi, B. K. Shah. Best linear unbiased estimators of the parameters of the logistic distribution using order statistics. Read Full Report

53. (1965) P. T. Holmes. On some spectral properties of a transition matrix I. Read Full Report

54. Y. S. Chow, H. Robbins. On values associated with a stochastic sequence. Published in the Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability (June 21-July 18, 1965 and December 27, 1965 - January 7, 1966).

55. (1965) H. Park. Limit theorems for winsorized mean and wrong-model likelihood estimation. Read Full Report

56. S. M. Samuels, T. W. Anderson. Some inequalities among binomial and Poisson probabilities. Published in the Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability (June 21-July 18, 1965 and December 27, 1965 - January 7, 1966), Vol. 1, pp. 1-12, 1967.

57. (1966) W. J. Studden, S. Karlin. Optimal experimental designs. (Now in reprint form). Published in The Annals of Mathematical Statistics, Vol. 37, No. 4, August, 1966.

58. (1965) S. S. Gupta, W. J. Studden. On some selection and ranking procedures with applications to multivariate populations. Read Full Report

59. (1965) Y. S. Chow, H. Teicher. On second moments of stopping rules. Read Full Report

60. (1965) J. S. Maybee. Remarks on the theory of cycles in matrices. Read Full Report

61. (1967) K. C. S. Pillai, K. Jayachandran. Power comparisons of tests of two multivariate hypotheses based on four criteria. Published in Biometrika, 54, 1 and 2, p. 195, 1967.

62. (1966) P. T. Holmes. Semi-regular functions in Markov chains. Read Full Report

63. (1966) Y. S. Chow. Some convergence theorems for independent random variables. Published in The Annals of Mathematical Statistics, Vol. 37, No. 6, December 1966.

64. (1966) C. G. Khatri, K. C. S. Pillai. On the moments of traces of two matrices in multivariate analysis. Published in the Annals of the Institute of Statistical Mathematics, Vol. 19, No. 1, pp. 143-156, 1967.

65. (1966) G. Baxter. Local weights which determine area, and the Ising model. Published in the Journal of Mathematical Physics, Vol. 8, No. 3, March 1967.

66. (1966) K. Nagel. On selecting a subset containing the best of several discrete distributions. Read Full Report

67. (1966) R. A. McLean, M. F. Neuts. The integral of a step function defined on a semi-Markov process. Read Full Report

68. (1966) C. G. Khatri, K. C. S. Pillai. On the moments of the trace of a matrix and approximations to its non-central distribution. Read Full Report

69. (1967) H. Teicher. A dominated-ergodic-type theorem. (Now in reprint form). Published in Z. Wahrscheinlichkeitstheorie verw. Geb. 8, pp. 113-116, 1967.

70. (1966) M. F. Neuts, S. Zacks. On mixtures of χ2 and F distributions which yield distributions of the same family. Read Full Report

71. (1968) S. M. Samuels. Randomized rules for the two-armed-bandit with finite memory. Published in the Annals of Mathematical Statistics, Vol. 39, No. 6, pp. 2103-2107, 1968.

72. (1966) K. C. S. Pillai. On the non-central distributions of the largest roots of two matrices and some percentage points. Read Full Report

73. (1966) M. F. Neuts. Points in the convex hull of a finite point set. Published in Simon Stevin, Wis-en Natuurkundig Tijdschrift, 40e Jaargang, Aflevering II (Oktober 1966)

74. (1966) M. F. Neuts. On maximum values in certain applied stochastic processes. Read Full Report

75. H. Robbins. Testing a hypothesis about Markov chains. We do not have any more copies of this paper in the mimeo series.

76. (1966) K. C. S. Pillai.
On the distribution of the largest characteristic root of a matrix and percentage points. Read Full Report

77. (1966) S. S. Gupta, K. Nagel. On selection and ranking procedures and order statistics from the multinomial distribution. Read Full Report

78. (1968) K. C. S. Pillai, C. G. Khatri. On the moments of elementary symmetric functions of the roots of two matrices and approximations to a distribution. Published in The Annals of Mathematical Statistics, Vol. 39, No. 4, pp. 1274-1281, 1968.

79. (1967) M. F. Neuts. Waiting times between record observations. Published in the Journal of Applied Probability, Vol. 4, No. 1, pp. 206-208, April 1967.

80. (1966) Y. S. Chow. On the expected value of a stopped submartingale. Read Full Report

81. (1966) S. S. Gupta, W. J. Studden. Some aspects of selection and ranking procedures with applications. Read Full Report

82. (1967) I. W. Burr. Notes: A useful approximation to the normal distribution function, with application to simulation. Published in Technometrics, Vol. 9, No. 4, pp. 647-651, November 1967.

83. (1966) L. J. Cote. Two-dimensional spectral analysis. Read Full Report

84. (1966) P. T. Holmes. On non-dissipative Markov chains. Read Full Report

85. (1966) A. J. Boes. Conditional probability on a σ-complete Boolean algebras. Read Full Report

86. (1966) I. W. Burr, P. J. Cislak. On a general system of distributions and the distribution of the sample median. Read Full Report

87. (1969) Y. S. Chow. On optimal stopping rules for independent random variables. Read Full Report

88. (1966) I. W. Burr. On the distribution of range for a general system of distributions. Read Full Report

89. (1967) W. J. Studden. On selecting a subset of k populations containing the best. Published in The Annals of Mathematical Statistics, Vol. 38, No. 4, pp. 1072-1078, August, 1967.

90. (1966) K. C. S. Pillai. On the distribution of the largest root of a matrix in multivariate analysis. Read Full Report

91. (1966) J. J. Deely. Sequential selection of the best of k populations. Read Full Report

92. (1966) M. F. Neuts. The queue with Poisson input and general service times, treated as a branching process. Read Full Report

93. (1967) I. W. Burr. The effect of non-normality on constants for measurement control charts using ranges. Published in Industrial Quality Control, Vol. 23, No. 11, pp. 563-569, May, 1967.

94. (1967) Y. S. Chow. On a strong law of large numbers for martingales. Published in The Annals of Mathematical Statistics, Vol. 38, No. 2, p. 610, April 1967.

95. (1967) H. Teicher. Identifiability of mixtures of product measures. Published in The Annals of Mathematical Statistics, Vol. 38, No. 4, pp. 1300-1302, August 1967.

96. (1967) M. F. Neuts. Two Markov chains, arising from examples of queues with state-dependent service times. Published in Sankhya, The Indian Journal of Statistics, Series A, Vol. 29, Part 3, pp. 259-264, 1967.

97. (1969) M. N. Tata. On outstanding values in a sequence of random variables. Published in Z. Wahrscheinlichkeitstheorie verw. Geb. 12, pp. 9-20, 1969.

98. (1966) Y. S. Chow. Convergence of sums of squares of martingale differences. Read Full Report

99. P. S. Puri. Some limit theorems on branching processes and certain related processes. Read Full Report

100. (1968) C. G. Khatri, K. C. S. Pillai. On the non-central distributions of two test criteria in multivariate analysis of variance. Published in The Annals of Mathematical Statistics, Vol. 29, No. 1, pp. 215-228, 1968.

101. (1968) K. C. S. Pillai, A. K. Gupta. On the non-central distribution of the second elementary symmetric function of the roots of a matrix. Published in The Annals of Mathematical Statistics, Vol. 29, No. 3, pp. 833-839, 1968.

102. (1967) K. C. S. Pillai, C. O. Dotson. On the distribution of an elementary symmetric function of the roots of a matrix. We do not have any more copies of this paper in the mimeo series. Read Full Report

103. (1967) H. Teicher. Martingale version of a dominated ergodic type theorem. Published in Z. Wahrscheinlichkeitstheorie und View, 1967.

104. (1967) Y. S. Chow. A martingale version of a theorem of Marcinkiewicz and Zygmund. Read Full Report

105. (1967) P. S. Puri. Selection procedures based on ranks: Scale parameter case. Read Full Report

106. (1967) L. Stone. On the distribution of the maximum of a semi-Markov process. Read Full Report

107. (1967) J. L. Teugels. On the rate of convergence in renewal and Markov renewal processes. Read Full Report

108. (1967) K. C. S. Pillai, C. Dotson. Power comparisons of tests of two multivariate hypotheses based on individual characteristic roots. (Now in reprint form). Read Full Report

109. (1967) T. F. Lin. On Bishop's upcrossing inequality. Read Full Report

110. (1967) M. F. Neuts. Two queues in series with a finite, intermediate waitingroom. Read Full Report

111. (1967) M. F. Neuts. Controlling a lethal growth process. Read Full Report

112. (1967) J. Yackel. A characterization of normal Markov chains. Read Full Report

113. (1967) W. F. Stout. Some results on almost sure and complete convergence in the independent and martingale cases. Read Full Report

114. (1967) K. Jayachandran. Non-central distributions of some multivariate test criteria and associated powers of test. Read Full Report

115. (1967) K. C. S. Pillai, K. Jayachandran. On the exact distribution of Pillai's V(s) criterion. Read Full Report

116. (1967) M. F. Neuts. The joint distribution of the virtual waitingtime and the residual busy period for the M/G/1 queue. Read Full Report

117. (1967) R. F. Gundy. A decomposition for L1 -bounded martingales. Read Full Report

118. (1967) W. J. Studden. Optimal designs on Tchebycheff points. Read Full Report

119. (1967) S. S. Gupta. On selection and ranking procedures. Read Full Report

120. (1967) S. S. Gupta, S. Panchapakesan. Order statistics arising from independent binomial populations. Read Full Report

121. (1967) P. S. Puri. A note on Gani's models on phage attachment to bacteria. Read Full Report

122. P. S. Puri. Interconnected birth and death processes. Read Full Report

123. (1967) K. C. S. Pillai, S. Al-Ani. On some distribution problems concerning characteristic roots and vectors in multivariate analysis. Read Full Report

124. (1967) E. Samuel. Sequential maximum likelihood estimation of the size of a population. Read Full Report

125. (1967) K. C. S. Pillai, S. Al-Ani. On the distribution of some functions of the roots of a covariance matrix and non-central Wilk's Λ. Read Full Report

126. (1967) M. F. Neuts, J. L. Teugels. Exponential ergodicity of the M/G/1 queue. Read Full Report

127. (1967) M. F. Neuts. Are many functions on the positive integers one-to-one? Read Full Report

128. (1967) K. C. S. Pillai. On the moment generating function of Pillai's Vs criterion. Read Full Report

129. (1967) K. C. S. Pillai, T. Sugiyama. Non-central distributions of the largest latent roots of three matrices in multivariate analysis. Read Full Report

130. (1967) P. S. Puri. A study through a Markov chain of a population undergoing certain mating systems in the presence of linkage. Read Full Report

131. (1967) T. Sugiyama. On the joint distribution of the largest latent root and the smallest latent root of the covariance matrix and the distribution of their ratio. Read Full Report

132. R. E. Barlow, S. S. Gupta. Selection procedures for restricted families of probability distributions. Published in Contributions in Statistics and Agricultural Sciences, Presented to Dr. V. G. Panse, pp. 127-141.

133. (1967) R. E. Barlow, S. S. Gupta, S. Panchapakesan. On the distribution of the maximum and minimum of ratios of order statistics. Read Full Report

134. (1967) W. J. Studden. A generalization of Bernstein's theorem and a differential inversion formula (Now in reprint form). Read Full Report

135. P. S. Puri. A model with mixed self-fertilization and random mating the the presence of linkage. We do not have any more copies of this paper in the mimeo series.

136. (1968) M. F. Neuts, M. Yadin.
The transient behavior of the queue with alternating priorities, with special reference to the waitingtimes. Read Full Report

137. S. Al-Ani. On the non-central distributions of the second largest roots of three matrices in multivariate analysis. Published in Canadian Mathematical Bulletin, Vol. 13, pp. 299-304, 1970.

138. (1968) K. C. S. Pillai, A. K. Gupta. On the exact distribution of Wilks' criterion. Read Full Report

139. (1968) A. K. Gupta. Some central and non-central distribution problems in multivariate analysis. Read Full Report

140. M. F. Neuts. A working bibliography on Markov renewal processes and their applications. We do not have any more copies of this paper in the mimeo series.

141. (1968) K. Jogdeo, S. M. Samuels.
Monotone convergence of binomial probabilities and a generalization of Ramanujan's equation. Published in the Annals of Mathematical Statistics, Vol. 39, pp. 1191-1195, 1968.

142. (1968) Y. S. Chow, W. J. Studden. Monotonicity of the variance under truncation and variations of Jensen's inequality. Read Full Report

143. (1968) C. G. Khatri. Further contributions to some inequalities for normal distributions and their applications to simultaneous confidence bounds. Read Full Report

144. Y. S. Chow, W. J. Studden. On the monotonicity of Ep(St/t). Published in The Annals of Mathematical Statistics, Vol. 39, No. 5, p. 1755, 1968.

145. (1968) S. Al-Ani. On the distribution of the ith latent root under null hypothesis concerning complex multivariate normal populations. Read Full Report

146. (1968) P. S. Puri. Some new results in the mathematical theory of phage-reproduction. Read Full Report

147. (1968) K. C. S. Pillai, T. C. Chang. On the distributions of Hotelling's T02 for three latent roots and the smallest root of a covariance matrix. Read Full Report

148. (1968) D. S. Moore. Asymptotically nearly efficient estimators of multivariate location parameters (now in reprint form). Read Full Report

Published in Annals of Mathematical Statistics, Vol. 40, pp. 1809-1823, 1969.

149. (1968) C. G. Khatri. Non-central distributions of ith largest characteristic roots of three matrices concerning complex multivariate normal populations. Published in the Annals of the Institute of Statistical Mathemtics, Vol. 21, No. 1, pp. 23-32, 1969.

150. K. C. S. Pillai, S. Al-Ani. Non-central distributions of the smallest and second smallest roots of matrices in multivariate analysis. Read Full Report

151. (1968) K. C. S. Pillai, G. M. Jouris. On the moments of elementary symmetric functions of the roots of two matrices. Read Full Report

152. V. L. Anderson. Factorial experiments versus split plot designs.

153. (1968) E. M. Klimko. On spreading partitions and entropy in infinite measure spaces. Read Full Report

154. (1968) E. M. Klimko. A uniform operator ergodic theorem. Read Full Report

155. (1968) S. M. Samuels. More on a Chebyshev-Type Inequality for Sums of Independent Random Variables. Read Full Report

156. (1968) M. F. Neuts, S. S. Nair. A priority rule based on the ranking of the service-times for the M/G/1 queue. Read Full Report

157. (1968) T. Lin. A discussion on Brownian motion of 1-dimensional, continuous mechanical system in a viscous medium. Read Full Report

158. M. F. Neuts. The queue with Poisson input and general service times, treated as a branching process. Published in Duke Mathematical Journal, Vol. 36, pp. 215-231, 1969.

159. (1969) B. M. Brown. Moments of a stopping rule related to the central limit theorem. Published in The Annals of Mathematical Statistics, Vol. 40, No. 4, pp. 1236-1249, 1969.

160. (1968) C. G. Khatri, K. C. S. Pillai. Distributions of vectors corresponding to the largest roots of three matrices. Read Full Report

161. (1968) C. G. Khatri. On the moments of traces of two matrices in three situations for complex multivariate normal populations. Read Full Report

162. (1968) S. Al-Ani. Some distribution problems concerning characteristic roots and vectors in multivariate analysis. Read Full Report

163. (1969) S. S. Gupta, S. Panchapakesan. Some selection and ranking procedures for multivariate normal populations. Published in Multivariate Analysis, Vol. 2, pp. 475-505. 1969.

164. (1968) G. M. Jouris. On the non-central distributions of Wilks' - for the test of three hypotheses. Read Full Report

165. (1968) T. C. Chang. On an asymptotic representation of the distribution of the characteristic roots of S1S2-1. Read Full Report

166. (1968) D. J. VanArman. Classification of experimental designs relative to polynomial spline regression functions. Read Full Report

167. (1968) H. Rubin. Decision theoretic approach to some multivariate problems. Read Full Report

168. (1968) E. G. Henrichon, D. S. Moore. Uniform consistency of some estimates of a density function. Read Full Report

Published in Annals of Mathematical Statistics, Vol. 40, pp. 1499-1502, 1969.

169. (1968) A. Barron. A class of sequential multiple decision procedures. Read Full Report

170. A. K. Jain, F. F. Leimkuhler, V. L. Anderson. A statistical model of book use and its application to the book storage problem. Published in American Statistical Association Journal, pp. 1211-1224, Dec. 1969.

171. (1972) S. S. Gupta, S. Panchapakesan. On a class of selection and ranking procedures. Published in The Annals of Mathematical Statistics, Vol. 43, No. 3, pp. 814-822, 1972.

172. (1968) W. J. Studden, D. J. VanArman. .Admissible designs for polynomial spline regression. Read Full Report

173. (1970) M. F. Neuts. Two servers in series, studies in terms of a Markov renewal branching process. Published in Advances in Applied Probability, Vol. 2, No. 1, pp. 110-149, 1970.

174. (1969) G. McDonald. On some distribution-free ranking and selection procedures. Read Full Report

175. (1968) E. M. Klimko, J. Yackel. Entropy of first return partitions of a Markov chain. Read Full Report

176. (1969) K. C. S. Pillai, H. C. Li. Monotonicity of the power functions of some tests of hypotheses concerning multivariate complex normal distributions. Read Full Report

177. V. L. Anderson. An analysis of variance modeling technique to aid in designing experiments. See #210 for a revised version.

178. (1969) T. C. Chang.
On Asymptotic expansions of the distributions of the characteristic roots of two matrices. Read Full Report

179. (1969) G. M. Jouris. On classical and complex multivariate normal distribution problems. Read Full Report

180. (1969) T. C. Chang. On an asymptotic representation of the distribution of the characteristic roots of S1S2-1 when roots are not all distinct. Read Full Report

181. (1969) K. C. S. Pillai, G. M. Jouris. An approximation to the distribution of the largest root of a matrix and percentage points. Read Full Report

182. (1969) K. C. S. Pillai, G. M. Jouris. Some distribution problems in the multivariate complex Gaussian case. Read Full Report

183. (1969) H. C. Li. The distribution of characteristic vectors corresponding to the two largest roots of a matrix. Read Full Report

184. (1969) K. C. S. Pillai, T. C. Chang. An approximation to the C. D. F. of the largest root of a covariance matrix. Published in the Annals of the Institute of Statistical Mathematics, 6 (Suppl.), pp. 115-124, 1970.

185. (1969) M. Grossman. (Thesis) A genetic and biometrical study of growth in chickens. Read Full Report

186. S. M. Samuels. The Markov inequality for sums of independent random variables. Published in the Annals of Mathematical Statistics, Vol. 40, pp. 1980-1984, 1969.

187. (1969) J. Yackel. Inequalities and asymptotic bounds for Ramsey numbers. Read Full Report

188. (1969) D. S. Moore. Asymptotically nearly efficient procedures for bivariate location parameters. Read Full ReportPublished in Annals of the Institute of Statistical Mathematics, Vol. 22, pp. 41-49, 1970.

189. (1969) S. Panchapakesan. A class of selection procedures including procedures for restricted families of distributions. Read Full Report

190. (1970) S. S. Gupta, G. C. McDonald. On some classes of selection procedures based on ranks. Published in Nonparametric Techniques in Statistical Inference, pp. 491-514. Editor Madan Lai Puri, C.U.P. 1970.

191. (1969) V. N. Murty. Optimal designs of individual regression coefficients with a Tchebycheffian spline regression function. Read Full Report

192. (1969) S. Panchapakesan. Some contributions to multiple decision (selection and ranking) procedures. Read Full Report

193. (1969) H. Rubin. Decision-Theoretic Evaluation of some non-parametric methods. Read Full Report

194. (1969) S. Paranjape. On some estimation and distribution problems. Read Full Report

195. (1969) S. S. Gupta, G. C. McDonald. Some selection procedures with applications to reliability problems. Published in Operations Research and Reliability, Proceedings of Nato Conference, Italy, Gordon and Breach, New York, 1972.

196. (1969) H. C. Li. Asymptotic expansions for distributions of the characteristic roots of two matrices from classical and complex Gaussian populations. Read Full Report

197. (1969) H. Rubin and J. L. Gastwirth. The behavior of robust estimators on dependent data. Read Full Report

198. (1969) H. C. Li, K. C. S. Pillai. Asymptotic expansions for distributions of the roots matrices from classical and complex Gaussian populations. Read Full Report

199. (1969) A. J. Fabens, M. F. Neuts. The limiting distribution of the maximum term in a sequence of random variables defined on a Markov chain. Read Full Report

200. (1970) M. F. Neuts. Multivariate semi-Markov matrices. Read Full Report

201. (1969) S. I. Resnick, M. F. Neuts. Limit laws for maxima of a sequence of random variables defined on a Markov chain. Read Full Report

202. (1969) R. J. Tomkins. On the law of the iterated logarithm. Read Full Report

203. (1969) A. K. Basu. On some problems in the theory of optimal stopping rules and log log law. Read Full Report

204. (1970) J. N. Arvesen and T. H. Schmitz. Robust procedures for variance. Published in Biometrics, The Biometric Society, Vol. 26, No. 4, pp. 677-686, December 1970.

205. (1969) P. S. Puri. A quantal response process associated with integrals of certain growth processes. Read Full Report

206. (1969) D. S. Moore. A chi-square statistic with random cell boundaries. Read Full Report

Published in Annals of Mathematical Statistics, Vol. 42, pp. 147--156, 1971.

207. (1969) M. F. Neuts. A queue subject to extraneous phase changes. Read Full Report

208. (1969) K. C. S. Pillai and D. L. Young. An approximation to the distribution of the largest root of a matrix in complex multivariate analysis. Read Full Report

209. S. C. Dafermos and M. F. Neuts. A single server queue in discrete time. Published in Cahiers du Centre d'Etude de Recherche Operationnelle, Vol. 13, pp. 23-40, 1971.

210. (1970) V. L. Anderson. Restriction errors for linear models (an aid to develop models for designing experiments). Published in Biometrics, Vol. 26, No. 2, pp. 255-268, June 1970.

211. See #218.

212. (1969) K. C. S. Pillai, B. N. Nagarsenker. On the distribution of the sphericity test criterion in classical and complex normal populations having unknown covariance matrices. Read Full Report

213. (1969) S. S. Nair, M. F. Neuts. An exact comparison of the waitingtimes under three priority rules. Read Full Report

214. (1969) S. S. Nair. On certain priority queues. Read Full Report

215. (1969) M. L. Samuels. Distribution of the branching-process population among generations. Published in the Journal of Applied Probability, Vol. 8, pp. 655-667, 1971.

216. (1969) H. Rubin. Occam's razor needs new blades. Read Full Report

217. (1970) S. I. Resnick. Maxima of a sequence of random variables defined on a Markov chain. Read Full Report

218. (1970) P. S. Puri, H. Rubin. A characterization based on the absolute difference of two I.I.D. random variables. Published in The Annals of Mathematical Statistics, Vol. 41, No. 6, pp. 2113-2122, 1970.

219. (1970) W. J. Studden. Optimal designs for multivariate polynomial extrapolation. Read Full Report

220. (1970) J. N. Arvesen. Another look at variances of variance components. Read Full Report

221. (1970) M. F. Neuts, P. Purdue. Buffon in the round. Read Full Report

222. (1970) K. Nagel. (Thesis) On subset selection rules with certain optimality properties. Read Full Report

223. (1971) P. S. Puri. A method for studying the functionals of stochastic processes with applications: I. Markov chains case. Published Journal of Applied Probability, Vol. 8, pp. 331-343.

224. (1970) S. Panchapakesan. On a monotonicity property relating to the gamma distributions. Read Full Report

225. (1970) S. S. Gupta, S. Panchapakesan. On a class of subset selection procedures. Read Full Report

226. (1970) R. E. James. Statistical process controls and acceptance sampling methods to control the distribution of combined output characteristics. Read Full Report

227. (1970) W. J. Studden. Elfving's theorem and optimal designs for quadratic loss. Read Full Report

228. (1970) K. C. S. Pillai, D. L. Young. On the exact distribution of Hotelling's generalized T02. Read Full Report

229. (1971) A. K. Chattopadhyay, K. C. S. Pillai. Asymptotic formulae for the distribution of some criteria for tests of equality of covariance matrices. Published in Journal of Multivariate Analysis, Vol. 1, No. 2, pp. 215-231, June 1971.

230. (1970) S. S. Nair, M. F. Neuts. Distribution of occupation time and virtual waiting time of a general class of hulk queues. Read Full Report

231. (1970) H. C. Li, K. C. S. Pillai. Asymptotic expansions for the distribution of the characteristic roots of S1S2-1 when population roots are not all distinct. Read Full Report

232. (1970) G. P. McCabe. Sequential estimation of a Poisson integer mean. Read Full Report

Published in the Annals of Mathematical Statistics, Vol. 43, pp. 803-813, 1972.

233. (1970) M. F. Neuts, S. Z. Chen. The infinite server queue with semi-Markovian arrivals and negative exponential services. Read Full Report

234. (1970) P. S. Puri. Loss due to missing data in efficiency of a locally optimal test for homogeneity with respect to very rare events. Read Full Report

235. (1972) P. S. Puri. A method for studying the integral functionals of stochastic processes with applications: II. Sojourn time distributions for Markov chains. Published in Z. Wahrscheinlichkeitstheorie verw. Geb. 23, 85-96, 1972.

236. (1970) D. S. Moore. On multivariate chi-square statistics with random cell boundaries. Read Full Report

237. (1970) M. F. Neuts, S. Z. Chen. The infinite server queue with Poisson arrivals and semi-Markovian services. Read Full Report

238. (1970) H. Rubin. On large-sample properties of certain non-parametric procedures. Read Full Report

239. (1970) D. S. Moore. Asymptotically efficient estimation by local-parameter approximations. Published in Annals of the Institute of Statistical Mathematics, Vol. 24, No. 2, pp. 299-308, 1972.

240. (1970) G. P. McCabe, Jr. Sequential estimation of a restricted mean parameter of an exponential family. Read Full Report

Published in the Annals of the Institute of Statistical Mathematics, Vol. 26, pp. 103-115, 1974.

241. (1971) D. Young. Some tests of equality of several covariance matrices. Read Full Report

242. (1970) S. Z. Chen. The single server queue with semi-Markovian arrivals and services. Read Full Report

243. (1970) P. S. Puri. A method for studying the integral functionals of Stochastic Processes with applications III. Read Full Report

244. This number was not used.

245. (1972) K. C. S. Pillai, B. N. Nagarsenker. On the distribution of a class of statistics in multivariate analysis. Published in Journal of Multivariate Analysis, Vol. 2, No. 1, March 1972.

246. J. N. Arvesen, B. Rosner. Multivariate inequalities in pari-mutuel wagering. Published in Statistical Decision Theory and Related Topics: Proceedings of a Symposium held at Purdue University, November 23-25, 1970, pp. 239-254, 1971.

247. (1970) S. S. Gupta, A. Barron. A class of non-eliminating sequential multiple decision procedures. Read Full Report

248. (1970) K. C. S. Pillai, A. K. Chattopadhyay. On the minimization of an integral of a matrix function over the group of orthogonal matrices. Read Full Report

249. (1971) K. C. S. Pillai, A. K. Chattopadhyay. Asymptotic expansions of the distributions of characteristic roots in manova and canonical correlation. Read Full Report

250. (1971) J. N. Arvesen, B. Rosner. Optimal pari-mutuel wagering. Read Full Report

251. (1971) K. C. S. Pillai, A. K. Chattopadhyay. Asymptotic expansions for the distributions of characteristic roots when the parameter matrix has several multiple roots. Read Full Report

252. (1971) M. F. Neuts. The handicap in a competitive game-A numerical investigation. Read Full Report

253. (1971) M. F. Neuts. Some run problem in Markov chains. Read Full Report

254. (1971) N. Bruvold. Optimal and admissible designs for polynomial monospline regression. Read Full Report

255. (1971) E. M. Klimko, J. Yackel. Some aspects of search strategies for Wiener Processes. Read Full Report

256. (1971) A. K. Chattopadhyay. An asymptotic distribution theory and applications in multivariate analysis. Read Full Report

257. (1971) W. J. Studden. Optimal designs and spline regression. Read Full Report

258. (1971) S. S. Gupta, K. Nagel. On some contributions to multiple decision theory. Read Full Report

259. (1971) H. Rubin. A decision-theoretic approach to the problem of testing a null hypothesis. Read Full Report

260. S. S. Gupta, S. Panchapakesan. Contributions to multiple decision (Subset Selection) rules, multivariate distribution theory and order statistics. Published in the Journal of Mathematical and Physical Sciences, Vol. 6, pp. 1-71, 1972.

261. (1971) S. S. Gupta, S. Panchapakesan. On order statistics and some applications of combinatorial methods of statistics. Read Full Report

262. (1974) S. M. Samuels. A characterization of the Poisson process. Published in Journal of Applied Probability, Vol. 11, No. 1, pp. 72-85, March 1974.

263. (1971) J. N. Arvesen. Asymptotically robust tests in unbalanced variance component models. Read Full Report

264. (1971) G. P. McCabe, Jr. Estimation of the number of terms in a sum. Read Full Report

Published in the American Statistical Association, Vol. 68, pp. 452-456, 1973.

265. (1971) P. S. Puri. On the asymptotic distribution of the maximum of sums of a random number of I.I.D. random variables. I. Read Full Report

266. (1971) E. M. Klimko, J. Yackel. Optimal search strategies for Wiener processes. Read Full Report

267. (1971) J. N. Arvesen, D. S. Salsburg. Approximate tests and confidence intervals using the jackknife. Read Full Report

268. (1971) P. S. Puri, J. Senturia. On a mathematical theory of Quantal Response assays. Read Full Report

269. (1971) J. N. Arvesen. A subset selection procedure for selecting the largest multiple correlation coefficients. Read Full Report

270. (1971) M. F. Neuts. The single server queue in discrete time - numerical analysis I. Read Full Report

271. (1971) W. J. Studden, V. N. Murty. Optimal designs for estimating the slope of a polynomial regression. Read Full Report

272. (1971) G. McCabe. Admissibility for vector-valued loss functions. Read Full Report

273. (1971) S. S. Gupta, S. Panchapakesan. On multiple decision (subset selection) procedures. Read Full Report

274. (1972) P. Purdue. On the use of analytic matric functions in queueing theory. Read Full Report

275. (1972) P. S. Puri. On the asymptotic distribution of the maximum of sums of a random number of I. I. D. random variables II. Read Full Report

276. (1972) E. M. Klimko, M. F. Neuts. The single server queue in discrete time-numerical analysis II. Read Full Report

277. (1972) E. M. Klimko. Algorithm for calculating Indices in Faa di Bruno's formula. Read Full Report

278. (1972) K. C. S. Pillai. The distribution of the characteristic roots of S1S2-1 under violations. Read Full Report

279. (1973) M. F. Neuts, E. M. Klimko. The single server queue in discrete time-numerical analysis III. Published in Naval Research Logistics Quarterly, Vol. 20, No. 3, pp. 557-567, September 1973.

280. (1972) P. S. Puri. On the distribution of the state of a process at the moment of a quantal response. Read Full Report

281. (1973) V. L. Anderson, R. A. McLean. A scientific approach to experimentation for consulting statisticians. Published in Journal of Quality Technology, Vol. 5, No. 1, January 1973.

282. (1972) I. W. Burr, L. A. Foster. A test for equality of variances. Read Full Report

283. (1972) J. Senturia. On a mathematical theory of quantal response assays and a new model in dam theory. Read Full Report

284. B. N. Nagarsenker, K. C. S. Pillai. The distribution of the sphericity test criterion. Published in Journal of Multivariate Analysis, Vol. 3, pp. 226-235, 1973.

285. (1973) P. S. Puri. On a property of exponential and geometric distributions. Published in Sankhya: The Indian Journal of Statistics, Series A, Vol. 35, Part 1, 1973.

286. (1973) I. W. Burr. Parameters for a general system of distributions to match a grid of α3 and α4. Read Full Report

287. (1972) K. C. S. Pillai, Sudjana. On some distribution problems concerning the characteristic roots of SlS2-1 under violations. Read Full Report

288. (1972) P. L. Cohen. Bayes Risk for test of location - the infinite dimensional case. Read Full Report

289. (1972) M. F. Neuts, D. B. Wolfson. Convexity of the bounds induced by Markov's inequality. Read Full Report

290. (1973) S. S. Gupta, K. Nagel, S. Panchapakesan. On the order statistics from equally correlated normal random variables. Published in Biometrika, Vol. 60, No. 2, pp. 403-413, 1973.

291. (1972) J. Senturia, P. S. Puri. A semi-Markov storage model. Read Full Report

292. (1972) P. S. Puri, J. Senturia. An infinite depth dam with Poisson input and Poisson release. Read Full Report

293. (1972) D. S. Moore. A note on Srinivasan's goodness of fit test. Read Full ReportPublished in Biometrika, Vol. 60, pp. 209-211, 1973.

294. (1973) I. W. Burr. Some approximate relations between terms of the hypergeometric, binomial and Poisson distributions. Published in Communications in Statistics, Vol. 1, No. 4, pp. 297-301, 1973.

295. (1972) W. Huang.Some contributions to sequential selection and ranking procedures. Read Full Report

296. (1972) E. M. Klimko. On weakly wandering functions. Read Full Report

297. (1972) S. S. Gupta, S. Panchapakesan. On moments of order statistics from independent binomial distributions. Read Full Report

298. S. S. Gupta, W. T. Huang. On a maximin strategy for sampling based on selection from several populations. Read Full Report

299. (1972) S. S. Gupta, T. Santner. Selection of a restricted subset of normal populations containing the one with largest mean. Read Full Report

300. (1972) B. N. Nagarsenker. Exact and asymptotic distributions of some statistics in multivariate analysis. Read Full Report

301. (1973) M. F. Neuts, D. Heimann. The single server queue in discrete time - numerical analysis IV. Published in Naval Research Logistics Quarterly. Vol. 20, No. 4, pp. 305-319, December 1973.

302. (1972) S. S. Gupta, W. Huang. A note on sampling a subset of normal populations with unequal sample sizes. Read Full Report

303. (1972) P. K. Goel. A note on the non-existence of subset selection procedure for Poisson populations. Read Full Report

304. (1972) D. Root, H. Rubin. Probabilistic proof of the normal convergence criterion. Read Full Report

305. (1972) J. Arvesen. Approximate confidence intervals for coefficients of variation. Read Full Report

306. See #262.

307. P. S. Puri, H. Rubin. On a characterization of the family of distributions with constant multivariate failure rates. Published in the Annals of Probability, Vol. 2, No. 4, pp. 738-740, 1974.

308. (1972) Sudjana. On the exact null distribution of Hotelling's trace. Read Full Report

309. J. Arvesen, G. P. McCabe. Subset selection problem for variance with application to regression analysis. Read Full ReportPublished in the Journal of the American Statistical Association, Vol. 70, pp. 166-170, 1975.

310. (1972) S. S. Gupta, G. C. McDonald, D. I. Galareau. Moments, product moments and percentage points of the order statistics from the lognormal distribution for samples of size twenty and less. Read Full Report

311. K. C. S. Pillai, B. N. Nagarsenke. Distribution of the likelihood ratio criterion for testing Σ = Σ0, μ = μ0 Published in the Journal of Multivariate Analysis, Vol. 4, pp. 114-122, 1974.

312. (1973) M. F. Neuts Computer power-or-the liberation of applied probability. Read Full Report

313. (1973) S. M. Samuels Jensen's inequality for conditional expectations. Read Full Report

314. (1973) P. S. Puri A generalization of a formula of Pollaczek and Spitzer as applied to a storage model. Read Full Report

315. (1973) M. F. Neuts The Markov renewal branching process. Read Full Report

316. (1973) J. N. Arvesen, G. P. McCabe A subset selection procedure for regression variables. Read Full ReportPublished in the Journal of Statistical Computation and Simulation, Vol. 3, pp. 137-146, 1974.

317. (1973) G. A. McCabe, J. N. Arvesen, R. Pohl A computer program for subset selection in regression analysis. Read Full Report

318. (1973) T. Santner A restricted subset selection approach to ranking and selection problems. Read Full Report

319. (1973) C. R. Rao On a unified theory of estimation in linear models. Read Full Report

320. (1973) K. C. S. Pillai A unified distribution theory for robustness studies of tests in multivariate analysis. Read Full Report

321. (1973) J. Yackel Inequalities and asymptotic bounds for Ramsey numbers II. Read Full Report

322. (1973) T. Santner A restricted subset selection approach to ranking and selection problems. Read Full Report

323. W. J. Studden Note on a theorem of passow. Read Full Report

324. (1973) S. S. Gupta, S. Panchapakesan Some multiple decision and related problems with special reference to restricted families of distributions and applications to reliability theory. Read Full Report

325. (1973) L. J. Gleser, I. Olkin Multivariate statistical inference under marginal structure II. Read Full Report

326. (1973) W. J. Studden, J. Y. Tsay On Remez type procedures for calculating optimal designs. Read Full Report

327. (1973) Sudjana Exact robustness and power studies of some tests in multivariate analysis. Read Full Report

328. (1973) S. Kunte Asymptotically pointwise optimal and asymptotically optimal stopping rules for sequential Bayes confidence interval. Read Full Report

329. (1973) S. S. Gupta, W. T. Huang On the conditional distribution of a statistic that arises in tests of homogeneity and selection and ranking of binomial populations. Read Full Report

330. (1973) S. S. Gupta, D. Y. Huang Selection procedures for the means and variances of normal populations when the sample sizes are unequal. Read Full Report

331. (1973) L. J. Gleser On the distribution of the number of successes in independent trials. Read Full Report

332. (1973) K. W. Fischer Some sample path properties of renewal processes. Read Full Report

333. G. P. McCabe, Jr Computations for variable selection in discriminant analysis. Published in Technometrics, Vol. 17, No. 1, pp. 103-109, February 1975. 334. G. P. McCabe, Jr., R. J. Pohl A computer program for determining optimal variable subsets in discriminant analysis. Read Full Report

335. K. C. S. Pillai, Sudjana On the distribution of Hotelling's trace and power comparisons. Published in Commun. Statistics, Vol. 3, pp. 433-454, 1974.

336. K. C. S. Pillai, Sudjana Exact robustness studies of tests of two multivariate hypothesis based on four criteria and their distribution problems under violations. Published in The Annals of Statistics, Vol. 3, No. 3, pp. 617-636, May 1975.

337. E. M. Klimko Numerical computation of bridge probabilities. Published in Commun. Stat., Simulation Comput. B9, pp. 103-125, 1980.

338. S. Kunte, R. V. Gurjar Characterization theorem for a class of functions.

339. Sudjana On the distribution of Wilks-Lawley statistic for tests of three multivariate hypotheses and power comparison.

340. S. S. Gupta, D. Y. Huang, W. T. Huang On a conditional procedure for selecting a subset containing the best of several binomial populations.

341. L. J. Gleser, S. Kunte On asymptotically optimal and asymptotically pointwise optimal stopping rules.

342. S. S. Gupta, D. Y. Huang On subset selection procedures for Poisson populations and some applications to the multinomial distribution. (Revised June 1974) Published in Royal Statistical Society Journal, Series C, pp. 97-109, 1975.

343. K. C. S. Pillai, N. B. Saweris Asymptotic formula for the distribution of Hotelling's trace for tests of equality of two covariance matrices.

344. D. S. Moore, M. C. Spruill A unified large-sample theory for chi-square statistics for tests of fit. Published in The Annals of Statistics, Vol. 3, No. 3, pp. 599-616, 1975.

345. S. S. Gupta, D. Y. Huang Selection procedures for binomial populations. Published in Sankhya: The Indian Journal of Statistics, Vol. 38, Series B, Pt. 2, pp. 112-128, 1976.

346. M. C. Spruill A comparison of chi-square goodness-of-fit tests based on approximate Bahadur slope. Published in The Annals of Statistics, Vol. 4, No. 2, pp. 409-412, 1976.

347. D. Y. Huang A note on an upper bound of the expected sample size of the Bechhofer-Kiefer-Sobel procedure for selecting the largest mean of normal populations with common known variance. Published in the Bulletin of the Institute of Mathematics, Vol. 4, No. 2, pp. 249-252, 1976.

348. J. Dirkse The asymptotic form of the distribution for moderate deviation of some goodness-of-fit criteria.

349. G. P. McCabe, M. A. Ross A stepwise algorithm for selecting regression variables using cost criteria. Published in the Proceedings of Computer Science and Statistics: 8th Annual Symposium on the Interface, February 13 and 14, 1975, Health Sciences Computing Facility, UCLA.

350. P. S. Puri A linear birth and death process under the influence of another process. Published in Journal of Applied Probability, Vol. 12, pp. 1-17, 1975.

351. V. L. Anderson, R. A. McLean Restriction errors: Another dimension in teaching experimental statistics. Published in The American Statistician, Vol. 28, No. 4, pp. 145-152, Nov. 1974.

352. J. Berger Inadmissibility results for generalized Bayes estimators of coordinates of a location vector. Published in The Annals of Statistics, Vol. 4, No. 2, pp. 302-333, Mar., 1976.

353. J. Berger Admissibility results for generalized Bayes estimators of coordinates of a location vector. Published in The Annals of Statistics, Vol. 4, No. 2, pp. 302-333, Mar., 1976.

354. M. F. Neuts Computational uses of the method of phases in the theory of queues. Published in Computers and Mathematics with Applications, Vol. 1, Issue 2, June 1975, pp. 151-166.

355. S. S. Gupta Selection and ranking procedures for multivariate normal populations. Published in Multivariate Analysis II, Editor P.R. Krishnaiah, New York: Academic Press, pp. 475-505.

356. M. F. Neuts, C. C. Carson Some computational problems related to multinomial trials. Published in The Canadian Journal of Statistics, Vol. 3, No. 2, 1975, pp. 235-248.

357. P. S. Puri Characterization of distributions based on the "scores" arising in the theory of rank tests.

358. P. K. Goel On repairing observations in a broken random sample. Published in Annals of Statistics, Vol. 3, No. 6, Nov. 1975, pp. 1364-1369.

359. R. J. Carroll Some contributions to the theory of parametric and nonparametric sequential ranking and selection.

360. R. J. Carroll [A note on] Estimating a Density at an Unknown Point.

361. R. J. Carroll and S. S. Gupta Some results relating to probabilities of ranking of k (≥ 2) populations with applications.

362. S. S. Gupta, D. Y. Huang On some selection procedures to select a subset containing the t best populations. Published in Bull. Inst. Math. Acad. Sinicia, Vol. 2, pp. 377-386, 1974.

363. D. Y. Huang Some contributions to fixed sample and sequential multiple decision (selection and ranking) theory.

364. D. B. Wolfson Limit theorems for sums of a sequence of random variables defined on a Markov chain. Published in Journal of Applied Probability, Vol. 14, No. 3, Sep., 1977, pp. 614-620.

365. J. R. Collins Robust estimation of a location parameter in the presence of asymmetry. Published in The Annals of Statistics, Vol. 4, No. 1, Jan., 1976, pp. 68-85.

366. S. S. Gupta, D. Y. Huang Never was completed.

367. J. C. Kiefer, D. S. Moore Large sample comparison of tests and empirical Bayes procedures. Published in On the History of Statistics and Probability, Editor D.B. Owen, Marcel Dekker, Inc., 1976, pp. 349- 365.

368. P. S. Puri A simpler approach to derivation of some results in epidemic theory. Published in Proceedings Symposium to honour Jerzy Neyman, pp. 265-275. PWN - Polish Scientific Publishers, Warszawa.

369. R. J. Carroll, S. S. Gupta, D. Y. Huang On selection procedures for the t best populations and some related problems.

370. P. S. Puri Biomedical applications of stochastic processes.

371. S. S. Gupta, S. Panchapakesan On the distribution of the maximum of ratios of order statistics from a restricted family of probability distributions, with applications.

372. S. S. Gupta, D. Y. Huang A note on Γ-minimax classification procedures. Published in the Proceedings of the 40th Session of the International Statistical Institute, Vol. 46, No. 3, pp. 330-335, 1975.

373. D. Y. Huang On some optimal subset selection procedures for model I and model II in treatments versus control problems.

374. M. F. Neuts Probability distributions of phase type. Published in Liber Amicorum Professor Emeritus H. Florin, University of Louvain, pp. 173-206.

375. S. S. Gupta, D. Y. Huang, W. T. Huang On ranking and selection procedures and tests of homogeneity for binomial populations. Published in Essays in Probability and Statistics, Ogawa Volume, Editors S. Ikeda et. al., Tokyo: Shinko Tsusho Co., Ltd., Ch. 33, 501-533, 1976.

376. J. Berger Minimax estimation of a multivariate normal mean in the general situation.

377. J. Berger Improving on the best invariant estimator of a location parameter in the general multivariate situation.

378. S. M. Samuels A probabilistic proof of the basic limit theorem for null recurrent Markov chains. Read Full Report

379. S. S. Gupta, D. Y. Huang On subset selection procedures for the entropy function associated with the binomial populations. Published in Sankhya Series A, Vol. 38, No. 2, pp. 153-173, 1976.

380. P. K. Goel On the distribution of standardized mean of samples from logistic population. Published in Sankhya Series B, Vol. 37, No. 2, 1975, pp. 165-172.

381. N. B. Saweris. An asymptotic non-central distribution of Hotelling's trace under violations and other distribution problems.

382. K. C. S. Pillai, N. B. Saweris Asymptotic formulae for the percentile and C. D. F. of Hotelling's trace under violations.

383. K. C. S. Pillai, N. B. Saweris. Exact and approximate non-central distributions of the largest roots of three matrices and the max largest root-ratios.

384. G. P. McCabe, J. N. Arvesen Variable selection in regression analysis. Published in Proceedings of the University of Kentucky Conference on Regression with a Large Number of Predictor Variables, pp. 136-148, 1975.

385. J. Berger Minimax estimation of location parameters for a wide class of nonnormal densities.

386. J. Y. Tsay The iterative methods for calculating optimal experimental designs.

387. B. Davis Picard's theorem and Brownian motion.

388. D. Y. Huang, S. Panchapakesan A subset selection formulation of the complete ranking problem. Published in the Journal of the Chinese Statistical Association, Vol. 16, pp. 5801-5810, 1978.

389. S. S. Gupta, D. Y. Huang On some parametric and nonparametric sequential subset selection procedures.

390. J. Kiefer, W. J. Studden Optimal designs for large degree polynomial regression. Published in The Annals of Statistics, Vol. 4, No. 6, pp. 1113-1123, 1976.

391. G. P. McCabe, M. L. Samuels Discrete bivariate data with censoring of one variate: Tests for randomness with application to dendritic trees. Published in Biometrics, Vol. 33, pp. 69-84, March 1977.

392. S. S. Gupta, D. Y. Huang On some Γ-minimax subset selection and multiple comparison procedures. Published in Statistical Decision Theory and Related Topics, Editors. S.S. Gupta and D.S. Moore, New Yor: Academic Press, pp. 139-155.

393. S. S. Gupta, D. Y. Huang Non-parametric subset selection procedures for the t best populations.

394. S. S. Gupta, D. Y. Huang On some optimal sampling procedures for selection problems. Published in Theory and Applications of Reliability, C.P. Tsokos and I.N. Shimi, Academic Press, Inc., Vol. 1, 1977.

395. P. S. Puri A stochastic process under the influence of another arising in the theory of epidemics.

396. L. J. Gleser, S. Kunte On sequential asymptotically optimal Bayes confidence interval procedures. Published in The Annals of Statistics, Vol. 4, No. 4, pp. 685-711, 1976.

397. J. C. Kiefer Lectures on design theory.

398. J. Gianini, S. M. Samuels The infinite secretary problem. Published in the Annals of Probability, Vol. 4, pp. 418-432, 1976.

399. H. Rubin The application of decision theory to statistical practice.

400. J. Gianini Problems of optimal selection based on relative rank. Ph.D. Thesis.

401. (1975) D. S. Moore, S. J. Whitsitt, D. A. Landgrebe Variance comparison for unbiased estimators of probabilities of correct classifications. Read Full Report Published in IEEE Transactions on Information Theory, Vol. 22, pp. 102-105, 1976.

402. (1975) M. F. Neuts Computational problems related to the Galton-Watson process. Read Full Report

403. (1975) M. A. Ross, G. P. McCabe. A comment on Pohlmenn's algorithm for subset selection in multiple regression analysis. Read Full Report Published in Multiple Linear Regression Viewpoints, Vol. 5, pp. 11-15, 1975.

404. (1975) J. Berger, M. E. Bock Combining independent normal mean estimation problems with unknown variances. Read Full Report

405. (1975) D. S. Moore Generalized inverse, Wald's method, and the construction of chi-square tests of fit. Read Full Report Published in Journal of the American Statistical Association, Vol. 72, pp. 131-137, 1977.

406. (1975) S. M. Samuels Positive-integer-valued infinitely divisible distributions. Read Full Report

407. (1975) L. J. Gleser, J. D. Healy Estimating the mean of a normal distribution with known coefficient of variation. Read Full Report

408. (1975) V. L. Anderson Practical aspects of engineering experimentation. Read Full Report

409. (1975) Y. S. Hsu, K. C. S. Pillai Asymptotic formulae for the C. D. F. of Hotelling's trace and robustness studies for three tests of hypotheses under violations. Read Full Report

410. S. M. Samuels The classical ruin problem with equal initial fortunes. Published in Mathematics Magazine, Vol.48, pp. 286-288, 1975.

411. B. Davis On Kolmogorov's inequalities ||f|| ≤ Cp ||f||1, 0 < p < 1. Published in Transactions of the American Mathematical Society, Vol. 222, pp. 179-192, 1976.

412. K. C. S. Pillai, B. N. Nagarsenker Distribution of the likelihood ratio statistic for testing sphericity structure for a normal covariance Matrix and its percentage points. Published in Sankhya: The Indian Journal of Statistics, Vol. 41, Series B, Pt. 3,4, pp.154-169, 1979.

413. J. Berger Minimax estimation of a multivariate normal mean under arbitrary quadratic loss. Published in Journal of Multivariate Analysis, Vol. 6, pp. 256-264, 1976.

414. J. Berger, M. E. Bock Eliminating singularities of Stein-type estimators of location vectors. Published in Journal of Royal Statistical Society B, Vol. 38, pp. 166-170, 1977.

415. C. C. Carson Computational methods for single server queues with interarrival and service time distributions of phase type. Ph.D. Dissertation.

416. P. S. Puri, V. Ramaswami Maximum and minimum weighted diagonal sums of certain non-negative matrices.

417. L. J. Gleser A canonical representation for the non central Wishart distribution useful for simulation. Published in the Journal of the American Statistical Association, Vol. 71, No. 355, pp. 690-695, 1976.

418. A. K. Bhargava Maximum likelihood estimation in a multivariate 'Errors in Variables' regression model with unknown error covariance matrix. Published in Communications in Statististics: Theory and Methods, Vol. a(6), No. 7, pp. 587-601, 1977.

419. K. C. S. Pillai, Y. S. Hsu Exact robustness studies of the test of independence based on four multivariate criteria and their distribution problems under violations. Published in the Annals of the Institue of Statistical Mathematics, Vol. 31, No. 1, pp. 85-101, 1979.

420. M. F. Neuts Algorithms for the waiting time distributions under various queue disciplines in the M/G/1 queue with service time distribution of phase type. Published in Algorithmic Methods in Probability, Ed. M.F. Neuts, North-Holland, Amsterdam, pp. 177-197, 1977.

421. V. L. Anderson, R. A. McLean The effect of restriction errors on type I errors in randomized complete block designs.

422. S. S. Gupta, W. Y. Wong Subset selection procedures for finite schemes in information theory. Published in Topics in Information Theory, Tokyo: Ch. 33, pp. 501-533, 1976.

423. S. Fuhrmann Control of an epidemic involving a multi-stage disease. Ph.D. Dissertation.

424. S. S. Gupta, W. T. Huang Some selection procedures based on the Robbins-Monro stochastic approximation. Published in Tamkang Journal of Mathematics Vol. 6, pp. 301-314, 1975.

425. J. R. Collins Robustness of M-estimators of location.

426. D. S. Moore, J. Yackel Consistency properties of nearest neighbor density function estimators. Published in The Annals of Statistics, Vol. 5, No. 1, pp. 143-154, 1977.

427. J. O. Berger Inadmissibility results for the best invariant estimator of two coordinates of a location vector. Published in The Annals of Statistics, Vol. 4, No. 6, pp. 1065-1076, Nov. 1976.

428. Y. S. Hsu Robustness and power studies of some multivariate tests in classical and complex Gaussian distributions.

429. W. J. Studden Optimal designs for integrated variance in polynomial regression. Published in Statistical decision theory and related topics II (Proc. Symposium, Purdue University, W. Lafayette, IN, 1976) pp. 411-420, Academic Press, New York, 1977.

430. K. C. S. Pillai, Y. S. Hsu The distribution of the characteristic roots of S1S2-1 under violations in the complex case and power comparisons of four tests. Published in the Annals of the Institute of Statistical Mathematics, Vol. 31, No. 1, pp. 445-463, 1979.

431. W. T. Huang On some optimal properties of selection procedures for finite populations.

432. P. K. Goel, H. Rubin On selecting a subset containing the best population-A Bayesian approach. Published in The Annals of Statistics, Vol. 5, No. 5, pp. 969-983, Sept. 1977.

433. L. D. Roi State dependent branching processes. Ph.D. Dissertation.

434. M. F. Neuts Moment formulas for the Markov renewal branching process. Published in Advances in Applied Probability, Vol. 8, No. 4, pp. 690-711, Dec. 1976.

435. A. K. Bhargava Estimation of a linear transformation, and associated distributional problems. Published in Journal of Statistical Planning and Inference, Vol. 3, No. 1, pp. 19-26, 1979.

436. S. S. Gupta, D. Y. Huang Subset selection procedures in analysis of variance. Published in Communications in Statistics: Theory and Methods, Vol. A6, pp. 1035-1054, 1977.

437. S. S. Gupta, D. Y. Huang Subset selection procedures for regression analysis.

438. S. S. Gupta, D. Y. Huang Nonparametric selection procedures for selecting the regression equations with larger slope. Published in Chinese Statistical Association, Vol. 15, pp. 5715-5724, 1977.

439. D. Y. Huang A note on a sequential selection procedure with applications to regression analysis.

440. D. Y. Huang, S. Panchapakesan A modified subset selection formulation with special reference to one-way layout experiments. Published in Communications in Statistics, Vol. A5, pp. 621-633, 1976.

441. M. F. Neuts The effect of change-over times on the M/G/l queue with several types of customers.

442. B. Davis On the LP norms of stochastic integrals and other martingales. (Replaced by #452).

443. M. F. Neuts An annotated bibliography on computational probability-part I. Published in Journal of Computational and Applied Mathematics, Vol. 3, No. 1, pp. 53-74, 1977.

444. M. F. Neuts Some explicit formulas for the steady-state behavior of the queue with semi-Markovian service times. Published in Advances in Applied Probability, Vol. 9, No. 1, pp. 141-157, March 1977.

445. S. M. Samuels The Radon-Nikodym theorem as a theorem in probability. Published in The American Mathematical Monthly, Vol. 85, No. 3, pp. 155-165, Mar. 1978.

446. J. O. Berger, M. E. Bock Improved minimax estimators of normal mean vectors for certain types of covariance matrices. Published in Statistical Decision Theory and Related Topics II, Editors S.S. Gupta and D.S. Moore, 1977.

447. J. O. Berger Minimax estimation of a multivariate normal mean under polynomial loss. Published in Journal of Multivariate Analysis, Vol. 8, pp. 173-180, 1978.

448. P. K. Goel, G. Casella A note on an explicit solution for generalized ridge regression.

449. W. Grassmann Some Computational aspects of the M/Ek/1 queue in steady state.

450. J. Collins On the consistency of M-Estimators.

451. (1976) W. K. Grassmann Transient solutions in Markovian queueing systems. Read Full Report

452. (1976) B. Davis On the LP norms of stochastic integrals and other martingales. Read Full Report

453. (1976) L. Gleser Estimation of a linear transformation: Large sample results. Read Full Report

454. (1976) W. Y. Wong Some contributions to subset selection procedures. Read Full Report

455. (1977) D. S. Moore, J. W. Yackel Large sample properties of nearest neighbor density function estimators. Published in Statistical Decision Theory and Related Topics, II, Editors S.S. Gupta and D.S. Moore, pp. 269-279, Academic Press, 1977.

456. (1976) W. K. Grassmann Notation for Markovian systems. Read Full Report

457. (1976) S. S. Gupta, W. Y. Wong On subset selection procedures for Poisson processes and some applications to the binomial and multinomial problems. Read Full Report

458. (1976) S. S. Gupta, D. Y. Huang Some multiple decision problems in analysis of variance. Read Full Report

459. (1976) D. S. Moore Recent developments in chi-square tests for goodness of fit. Read Full Report

460. (1976) L. J. Gleser Minimax estimation of a multivariate normal mean with unknown covariance matrix. Read Full Report

461. (1976) J. Berger, M. E. Bock, L. D. Brown, G. Casella, L. Gleser Minimax estimation of a normal mean vector for arbitrary quadratic loss and unknown covariance matrix. Read Full Report

462. (1976) K. C. S. Pillai Distributions of characteristic roots in multivariate analysis. Read Full Report

463. (1976) G. P. McCabe, V. L. Anderson Sex discrimination in faculty salaries: A method for detection and correction. Read Full Report Published in the Proceedings of 1976 Social Statistics Section of the American Statistical Association, pp. 589-592, 1976.

464. M. W. Lu On some multiple decision problems. Read Full Report

465. (1976) H. Rubin, S. M. Samuels The finite memory secretary problem. Published in the Annals of Probability, Vol. 5, pp. 627-635, 1977.

466. (1976) H. Rubin Some fast methods of generating random variables with preassigned distributions. I. General acceptance-rejection procedures. Read Full Report

467. (1976) H. Rubin The effect of dead time on the physical generation of random digits. Read Full Report

468. (1976) H. Rubin A new "definition" of the integral. Read Full Report

469. D. S. Moore Chi-square tests. Read Full Report Published in Studies in Statistics, Editor R. Hogg, pp. 66-106, 1978.

470. (1979) S. S. Gupta, D. Y. Huang On some methods for constructing optimal subset selection procedures. (Revised August 1977). (Revised June 1978): A note on optimal subset selection procedures. Read Full Report

471. (1976) J. Healy Estimation and tests for unknown linear restrictions in multivariate linear models. Read Full Report

472. (1975) S. Vardeman Admissible solutions of finite state sequence compound decision problems. Read Full Report

473. (1976) S. S. Gupta, W. Y. Wong Subset selection procedures for the means of normal populations with unequal variances: Unequal sample sizes case. Read Full Report

474. (1976) J. A. Gaynor A large deviation approach to asymptotic efficiency of selection procedures. (Efficiency of selection procedures). Read Full Report

475. (1976) Y. K. Leong Some results on subset selection problems. Read Full Report

476. (1976) S. S. Gupta, Y. K. Leong Some results on subset selection procedures for double exponential populations. Read Full Report

477. (1976) S. M. Samuels The exact solution to the original group-testing problem. Published in Technometrics, Vol. 20, pp. 497-500, 1978.

478. (1976) W. A. Rosenkrantz, R. S. Ellis Diffusion approximation for transport processes with boundary conditions. Read Full Report

479. (1976) B. Davis On stopping times for n dimensional Brownian motion. Read Full Report

480. (1976) J. Berger A robust generalized Bayes estimator and confidence region for a multivariate normal mean. Read Full Report

481. (1977) J. Berger, C. Srinivasan Generalized Bayes estimators in multivariate problems. Read Full Report

482. (1976) W. A. Rosenkrantz Lp estimates for exit times of a Bessel process. Read Full Report

483. (1977) P. S. Puri A limit theorem for point processes with applications. Read Full Report

484. (1977) P. K. Goel, M. H. DeGroot Comparison of experiments and information measures. Read Full Report

485. (1977) G. Campbell The maximum of a sequence with prior information. Read Full Report

486. (1977) W. A. Rosenkrantz LP estimates for stopping times of Bessel processes. Read Full Report

487. (1977) T. Lorenzen Toward a more realistic formulation of the secretary problem. Read Full Report

488. (1977) W. A. Rosenkrantz Lectures on Markov processes and their associated semi groups. Read Full Report

489. (1977) R. L. Berger Minimax, admissible, and gamma-multiple decision rules. Read Full Report

490. (1977) D. J. Kolar, J. F. Sullivan-Kwasnik A more informative statistical analysis for predator-prey studies. Read Full Report

491. (1977) J. Hsu On some decision-theoretic contributions to the problem of subset selection. Read Full Report

492. (1978) G. P. McCabe, Jr Evaluation of regression coefficient estimates using α-acceptability. Read Full Report Published in Technometrics, Vol. 20, pp. 131-139, 1978.

493. (1977) S. S. Gupta Selection and ranking procedures: A brief introduction. Read Full Report

494. (1977) A. K. Singh On slippage tests and multiple decision (selection and slippage) procedures. Read Full Report

495. (1977) R. L. Berger, S. S. Gupta Minimax subset selection with application to unequal variance problems. Read Full Report

496. (1977) G. Campbell, M. Hollander Prediction intervals with the Dirichlet prior. Read Full Report

497. (1977) G. Casella Minimax ridge estimation. Read Full Report

498. (1977) G. Campbell, M. Hollander Nonparametric Bayes estimation with incomplete Dirichlet prior information. Read Full Report

499. (1977) G. P. McCabe, Jr Use of the 27% rule in experimental design. Read Full Report Published in the Proceedings of the 1978 Social Statistics Section of the American Statistical Association, pp. 770-771, 1977.

500. (1978) S. S. Sylvia Chu, K. C. S. Pillai Power comparisons of two-sided tests of equality of two covariance matrices based on six criteria. Read Full Report

501. (1977) S. S. Gupta, D. Y. Huang On selecting an optimal subset of regression variables.Read Full Report

502. (1977) G. P. McCabe, S. A. McCabe Estimation and testing of pocket means. Using multiple linear regression techniques. Read Full Report Published in Multiple Linear Regression Viewpoints, Vol. 10, pp. 1-17, 1977.

503. (1977) J. K. Ghorai Nonparametric estimation of probability density functions. Read Full Report

504. (1977) S. S. Gupta, W. T. Huang On selection rules for finite mixtures of distributions. Read Full Report

505. (1977) D. P. Mihalko, D. S. Moore Chi-square tests of fit for type II censored data. Read Full Report Published in Studies in Statistics, Editor R. Hogg, pp. 66-106, 1978.

506. (1977) S. B. Vardeman A note on the applicability of sequence compound decision schemes. Read Full Report

507. (1977) R. Berger Minimax subset selection for loss measured by subset size. Read Full Report

508. S. S. Gupta, A. K. Singh On selection of populations close to a control or standard. Read Full Report

509. (1977) P. S. Puri, C. M. Goldie Poisson mixtures and Quasi-infinite divisibility of distributions. Read Full Report

510. (1977) L. J. Gleser Minimax estimation of a normal mean vector when the covariance matrix is unknown. Read Full Report

511. (1977) S. S. Gupta, J. C. Hsu Subset selection procedures with special reference to the analysis of two-way layout: Application to motor-vehicle fatality data. Read Full Report

512. (1977) M. L. Samuels Statistical models for topological analysis of cut dendritic trees. Read Full Report

513. S. S. Gupta, D. Y. Huang Locally optimal subset selection procedures based on ranks. Published in the Proceedings of an International Conference [Held at the Indian Institute of Technology, Bombay, Dec 20-22, 1977], pp. 251-262.

514. S. S. Gupta, A. K. Singh On rules based on sample medians for selection of the largest location parameter. Published in Communications in Statistics. Theory and Methods. A 9(12), pp. 1277-1298, 1980.

515. (1977) A. L. Rukhin Minimax estimation of the location parameter of the shifted normal distribution with unknown scale. Read Full Report

516. A. L. Rukhin Universal Bayes estimators. Read Full Report

517. (1977) J. Berger Multivariate estimation with nonsymmetric loss functions. Read Full Report

518. (1977) S. S. Gupta, M. W. Lu Subset selection procedures for restricted families of probability distributions. Read Full Report

519. (1977) S. S. Gupta, J. C. Hsu On the performance of some subset selection procedures. Read Full Report

520. (1977) D. M. Mason The asymptotic normality of linear combination. Read Full Report

521. (1977) S. S. Chu Power comparisons of two-sided tests of equality of two covariance matrices and some distribution theory. Read Full Report

522. (1978) D. M. Mason A law of the iterated logarithm and invariance principle for regression rank statistics. Read Full Report

523. See #79-21.

524. (1978) S. Srinivasan On the admissibility of estimators in exponential distributions. Read Full Report

525. (1978) K. C. S. Pillai, A. Singh On the exact non-null distribution of Wilks LVC Criterion. Read Full Report

526. (1986) R. B. Guay, G. P. McCabe A chi-square test for Hierarchical dependency. Published in Psychometrika, Vol. 51, No. 3, pp. 467-474, September 1986.

527. (1977) D. M. Mason Almost sure linearity with a rate for linear rank statistics with a bounded score function. Read Full Report