1993 Technical Reports

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

1. S. S. Gupta, T. C. Liang, R.-B. Rau. Empirical Bayes Rules for Selecting the Best Normal Population Compared with a Control. 

2. P. Protter, J. San Martin. Polymers Moving in a Fluid.

3. C: S. S. Gupta, B. Miao, D. Sun. A Two-Stage Procedure for Selecting the Population with the Largest Mean When the Common Variance is Unknown.

4. A. Bose, D. N. Politis. A Review of the Bootstrap for Dependent Samples. 

5. H. Dette, W. J. Studden. Some New Asymptotic Properties for the Zeros of Jacobi, Laguerre and Hermite Polynomials. 

6. M. J. Bayarri, J. O. Berger. Robust Bayesian Analysis of Selection Models. 

7. W.-L. Loh. On Linear Discriminant Analysis with Adaptive Ridge Classification Rules. 

8. Z. Wang. Some Properties of Spectral Density Functions in Down Sampling a Stationary Process and a Version of Ruelle's General Perron-Froebenius Theorem. 

9. Z. Wang. Estimating a Hölder Continuous Function from a Noisy Sample via Shrinkage and Truncation of Wavelet Coefficients. 

10. T. Sellke. Recurrence of Reinforced Random Walk on a Ladder.

11. C: M. J. Bayarri, J. O. Berger. Applications and Limitations of Robust Bayesian Bounds and Type II MLE. 

12. C: S. Mukhopadhyay, A. DasGupta. Uniform approximation of Bayes Solutions and Posteriors: Frequentistly Valid Bayes Inference. 

13. C: R. Yang, J. O. Berger. Estimation of a Covariance Matrix Using the Reference Prior. 

14. C: J. O. Berger, L. D. Brown, R. L. Wolpert. A Unified Conditional Frequentist and Bayesian Test for Fixed and Sequential Simple Hypothesis Testing.

15. X. Xiong. Principle of Generalized Conditional PLR Sequential Test and Its Applications. 

16. C: G. Li, H. Doss. An Approach to Nonparametric Regression for Life History Data Using Local Linear Fitting. 

17. C: J. O. Berger, D. Sun. Bayesian Inference for a Class of Poly-Weibull Distributions. 

18. H. Ahn, P. Protter. A Remark on Stochastic Integration. 

19. I. Hueter, S. P. Lalley. Falconer's Formula for the Hausdorff Dimension of a Self Affine Set in R². 

20. J. Ma, P. Protter, J. Yong. Solving Forward-Backward Stochastic Differential Equations Explicitly - A Four Step Scheme. 

21. C: S. S. Gupta, T. C. Liang, R. B. Rau. Empirical Bayes Two-Stage Procedures for Selecting the Best Normal Population Compared with a control. 

22. H. S. Oh, A. DasGupta. Robustness of Stein's Two Stage Procedures. 

23. M. Gasparini. Bayesian Density Estimation Via Dirichlet Density Processes. 

24. G. Li. A Note on Nonparametric Likelihood Ratio Estimation of Survival Probabilities for Censored Data.

25. H. S. Oh, A. DasGupta. Efficiency and Minimaxity of Bayes Sequential Procedures in Simple Versus Simple Hypothesis Testing for a General Nonregular Models. 

26. C: D. Sun. Integrable Expansions for Posterior Distributions for a Two Parameter Exponential Family.

27. C: D. Sun, K. Ye. Reference Prior Bayesian Analysis for Normal Mean Products. 

28. C. Gu. Structural Multivariate Function Estimation: Some Automatic Density and Hazard Estimates. 

29. S. P. Lalley. Return Probabilities for Random Walk on a Half-Line. 

30. C. Gu. Smoothing Spline Density Estimation: Conditional Distribution. 

31. C: H. Dette. New Bounds for Hahn and Krawtchouk Polynomials. 

32. S. S. Gupta, K. J. Miescke. Bayesian Look Ahead One Stage Sampling Allocations for Selecting the Largest of k ≥ 3 Normal Means. 

33. H. Dette. Optimal Designs for Identifying the Degree of a Polynomial Regression. 

34. C: J. O. Berger, W. E. Strawderman. Choice of Hierarchical Priors: Admissibility in Estimation of Normal Means. 

35. A. DasGupta. Comparing the Sample Mean and Median in Measurement Error Models. 

36. E. Crowley. Estimation of Clustered Parameters. 

37. E. Crowley. Product Partition Models for Normal Means. 

38. A. DasGupta, H. Rubin. Bayes Estimates as Expander in One and Two Dimensions. 

39. I. Hueter. Limit Theorems for the Convex Hull of Random Points in Higher Dimensions.

40. R. Yang, M. H. Chen. Bayesian Analysis for Random Coefficient Regression Models Using Noninformative Priors. 

41. B. Davis. An Elementary Proof of the Local Central Limit Theorem. 

42. H. Dette, W. J. Studden. Optimal Designs for Polynomial Regression When the Degree is Not Known. 

43. C: J. O. Berger, L. R. Pericchi. The Intrinsic Bayes Factor for Model Selection and Prediction. 

44. D. N. Politis, J. P. Romano, L. You. Uniform Confidence Bands for the Spectrum Based on Subsamples. 

45. A. DasGupta. Fourier Analytic Characterizations of Bayes Rules. 

46. W.-L. Loh, C.-H. Zhang. Rates of Convergence of Orthogonal Polynomial Estimates for a Mixing Density. 

47. W.-L. Loh, C.-H. Zhang. Global Properties of Kernel Estimators for Mixing Densities in Exponential Family Models for Discrete Variables. 

48. A. DasGupta. The Solvability of the Convolution Equation X^d= Z + Y. 

49. D. N. Politis. Introduction to Bootstrap Methods in Statistics. 

50. C. Armero, M. J. Bayarri. A Bayesian Analysis of a Queueing System with Unlimited Service. 

51. D. N. Politis. Induction and Recursion in n Dimensions. 

52. W. L. Loh. On Latin Hypercube Sampling. 

53. C: J. O. Berger. An Overview of Robust Bayesian Analysis. 

54. C: S. S. Gupta, T. C. Liang. Empirical Bayes Approach to Selection Problems with Special Reference to Multinomial Populations.

55. C. Gu. Model Indexing and Model Selection in Nonparametric Function Estimation.