1989 Technical Reports

For full reports, please contact Statistics Department at (765) 494-6030.

S. P. Lalley. Travelling Salesman with a Self-Similar Itinerary.
D. Duffie, P. Protter. From Discrete to Continuous Time Finance: Weak Convergence of the Financial Gain Process. (This paper is now #91-63.)
W. J. Buhler, P. S. Puri. The Linear Birth and Death Process under the Influence of Independently Occurring Disasters.
W.-L. Loh. Rate of Poisson Convergence in Equiprobable Allocations.
T. Kuczek, K. N. Crank. A Large Deviation Result for Processes.
S. M. Samuels. Artificial Intelligence in Statistics.
M. T. Barlow, P. Protter. On Convergence of Semimartingales.
C: T.-H. Fan, J. O. Berger. Exact Convolution of t Distributions, with Applications to Bayesian Inference for a Normal Mean with t Prior Distributions.
C: J. O. Berger. On the Inadmissibility of Unbiased Estimators.
A. Bose, G. J. Babu. Accuracy of the Bootstrap Approximation.
T. G. Kurtz, P. Protter. Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations.
S. P. Lalley. Lecture Notes on Probabilistic Methods in Certain Counting Problems of Ergodic Theory.
T.-C. Liang. Empirical Bayes Estimation of Binomial Parameter with Symmetric Priors.
L.-Y. Leu, T.-C. Liang. Selection of the Best with a Preliminary Test for Two-Parameter Exponential Distributions.
L.-Y. Leu. A Brief Bibliography of Statistical Classification Procedures: Decision-Theoretic Approach.
C: S. S. Gupta, L.-Y. Leu. Selecting the Fairest of k(≤2) m-sided Dice.
C: S. S. Gupta, L.-Y. Leu, T.-C. Liang. On Lower Confidence Bounds for PCS in Truncated Location Parameter Models.
C: T.-C. Liang. Empirical Bayes Selection for the Highest Probability of Success in Negative Binomial Distributions.
C: M.-S. Oh, J. O. Berger. Adaptive Importance Sampling in Monte Carlo Integration.
A. DasGupta, W. J. Studden. Towards a Theory of Compromise Designs: Frequentist, Bayes, and Robust Bayes.
C: S. S. Gupta, L.-Y. Leu, T.-C. Liang. Selection of the Best with a Preliminary Test for Location-Scale Parametric Models.
C: S. S. Gupta, T.-C. Liang. On the Asymptotic Optimality of Certain Empirical Bayes Simultaneous Testing Procedures for Poisson Populations.
C: S. S. Gupta, K. J. Miescke. On Finding the Largest Normal Mean and Estimating the Selected Mean.
S. P. Lalley. Brownian Motion and the Equilibrium Measure on the Julia Set of a Rational Mapping.
J. C. Parnami, P. S. Puri, H. Singh. Solution of an Optimization Problem Arising in Maximum Likelihood Estimation of Ordered Distributions.
C: T.-H. Fan, J. O. Berger. Behavior of the Posterior Distribution and Inferences for a Normal Mean with t Prior Distributions.
C: S. S. Gupta, L.-Y. Leu. On a Classification Problem: Ranking and Selection Approach.
C: S. S. Gupta, D.-Y. Huang. On Detecting Influential Data and Selecting Regression Variables.
S. M. El-Krunz, W. J. Studden. Bayesian Optimal Designs in Linear Regression Models.
H. Rubin. Notes on Decision Theory.
C: J. O. Berger, J. M. Bernardo. Ordered Group Reference Priors with Applications to Multinomial and Variance Components Problems.
C: J. O. Berger, J. M. Bernardo. Reference Priors in a Variance Components Problem.
M. L. Samuels. Statistical Reversion Toward the Mean: More Universal Than Regression Toward the Mean. Published in the American Statistician, Vol. 45, pp. 344-346, 1991.
B. Boukai, A. Bose. Sequential Estimation Procedure for the Two-Parameter Exponential Family of Distributions.
T. Kuczek. Approaches to Modeling Kinetics of Colony Forming Experiments.
P. Protter. Weak Convergence in Stochastic Analysis.
L. Gleser, M. Tan. Minimax Estimation of Location Vectors in Elliptical Distribution with Unknown Scale Parameter.
C: J. O. Berger, J. Mortera. Bayesian Analysis with Limited Communication.
M. Tan. Improved Estimators for the GMANOVA Problem: With Applications.
D. K. H. Fong, J. O. Berger. Ranking, Estimation and Hypothesis Testing in Unbalanced Models - A Bayesian Approach.