Ebook: Advances in Statistical Decision Theory and Applications

Shanti S. Gupta has made pioneering contributions to ranking and selection theory; in particular, to subset selection theory. His list of publications and the numerous citations his publications have received over the last forty years will amply testify to this fact. Besides ranking and selection, his interests include order statistics and reliability theory. The first editor's association with Shanti Gupta goes back to 1965 when he came to Purdue to do his Ph.D. He has the good fortune of being a student, a colleague and a long-standing collaborator of Shanti Gupta. The second editor's association with Shanti Gupta began in 1978 when he started his research in the area of order statistics. During the past twenty years, he has collaborated with Shanti Gupta on several publications. We both feel that our lives have been enriched by our association with him. He has indeed been a friend, philosopher and guide to us.

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Content:
Front Matter....Pages i-l
Front Matter....Pages 1-1
Bayes for Beginners? Some Pedagogical Questions....Pages 3-17
Normal Means Revisited....Pages 19-30
Bayes m-Truncated Sampling Allocations for Selecting the Best Bernoulli Population....Pages 31-47
On Hierarchical Bayesian Estimation and Selection for Multivariate Hypergeometric Distributions....Pages 49-64
Convergence Rates of Empirical Bayes Estimation and Selection for Exponential Populations With Location Parameters....Pages 65-77
Empirical Bayes Rules for Selecting the Best Uniform Populations....Pages 79-96
Front Matter....Pages 97-97
Adaptive Multiple Decision Procedures for Exponential Families....Pages 99-118
Non-Informative Priors Via Sieves and Packing Numbers....Pages 119-132
Front Matter....Pages 133-133
From Neyman’s Frequentism to the Frequency Validity in the Conditional Inference....Pages 135-150
Asymptotic Theory for the Simex Estimator in Measurement Error Models....Pages 151-164
A Change Point Problem for Some Conditional Functionals....Pages 165-178
On Bias Reduction Methods in Nonparametric Regression Estimation....Pages 179-187
Multiple Comparisons With the Mean....Pages 189-204
Front Matter....Pages 205-205
Properties of Unified Bayesian-Frequentist Tests....Pages 207-223
Likelihood Ratio Tests and Intersection-Union Tests....Pages 225-237
The Large Deviation Principle for Common Statistical Tests Against a Contaminated Normal....Pages 239-252
Multiple Decision Procedures for Testing Homogeneity of Normal Means With Unequal Unknown Variances....Pages 253-262
Front Matter....Pages 263-263
A Sequential Multinomial Selection Procedure With Elimination....Pages 265-275
An Integrated Formulation for Selecting the Best From Several Normal Populations in Terms of the Absolute Values of Their Means: Common Known Variance Case....Pages 277-289
Applications of Two Majorization Inequalities to Ranking and Selection Problems....Pages 291-301
Front Matter....Pages 303-303
Correlation Analysis of Ordered Observations From a Block-Equicorrelated Multivariate Normal Distribution....Pages 305-322
On Distributions With Periodic Failure Rate and Related Inference Problems....Pages 323-341
Venn Diagrams, Coupon Collections, Bingo Games and Dirichlet Distributions....Pages 343-367
Front Matter....Pages 369-369
Control Charts for Autocorrelated Process Data....Pages 371-385
Reconstructive Estimation in a Parametric Random Censorship Model With Incomplete Data....Pages 387-404
A Review of the Gupta-Sobel Subset Selection Rule for Binomial Populations With Industrial Applications....Pages 405-416
The Use of Subset Selection in Combined-Array Experiments to Determine Optimal Product or Process Designs....Pages 417-430
Large-Sample Approximations to the Best Linear Unbiased Estimation and Best Linear Unbiased Prediction Based on Progressively Censored Samples and Some Applications....Pages 431-444
Back Matter....Pages 445-448

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Content:
Front Matter....Pages i-l
Front Matter....Pages 1-1
Bayes for Beginners? Some Pedagogical Questions....Pages 3-17
Normal Means Revisited....Pages 19-30
Bayes m-Truncated Sampling Allocations for Selecting the Best Bernoulli Population....Pages 31-47
On Hierarchical Bayesian Estimation and Selection for Multivariate Hypergeometric Distributions....Pages 49-64
Convergence Rates of Empirical Bayes Estimation and Selection for Exponential Populations With Location Parameters....Pages 65-77
Empirical Bayes Rules for Selecting the Best Uniform Populations....Pages 79-96
Front Matter....Pages 97-97
Adaptive Multiple Decision Procedures for Exponential Families....Pages 99-118
Non-Informative Priors Via Sieves and Packing Numbers....Pages 119-132
Front Matter....Pages 133-133
From Neyman’s Frequentism to the Frequency Validity in the Conditional Inference....Pages 135-150
Asymptotic Theory for the Simex Estimator in Measurement Error Models....Pages 151-164
A Change Point Problem for Some Conditional Functionals....Pages 165-178
On Bias Reduction Methods in Nonparametric Regression Estimation....Pages 179-187
Multiple Comparisons With the Mean....Pages 189-204
Front Matter....Pages 205-205
Properties of Unified Bayesian-Frequentist Tests....Pages 207-223
Likelihood Ratio Tests and Intersection-Union Tests....Pages 225-237
The Large Deviation Principle for Common Statistical Tests Against a Contaminated Normal....Pages 239-252
Multiple Decision Procedures for Testing Homogeneity of Normal Means With Unequal Unknown Variances....Pages 253-262
Front Matter....Pages 263-263
A Sequential Multinomial Selection Procedure With Elimination....Pages 265-275
An Integrated Formulation for Selecting the Best From Several Normal Populations in Terms of the Absolute Values of Their Means: Common Known Variance Case....Pages 277-289
Applications of Two Majorization Inequalities to Ranking and Selection Problems....Pages 291-301
Front Matter....Pages 303-303
Correlation Analysis of Ordered Observations From a Block-Equicorrelated Multivariate Normal Distribution....Pages 305-322
On Distributions With Periodic Failure Rate and Related Inference Problems....Pages 323-341
Venn Diagrams, Coupon Collections, Bingo Games and Dirichlet Distributions....Pages 343-367
Front Matter....Pages 369-369
Control Charts for Autocorrelated Process Data....Pages 371-385
Reconstructive Estimation in a Parametric Random Censorship Model With Incomplete Data....Pages 387-404
A Review of the Gupta-Sobel Subset Selection Rule for Binomial Populations With Industrial Applications....Pages 405-416
The Use of Subset Selection in Combined-Array Experiments to Determine Optimal Product or Process Designs....Pages 417-430
Large-Sample Approximations to the Best Linear Unbiased Estimation and Best Linear Unbiased Prediction Based on Progressively Censored Samples and Some Applications....Pages 431-444
Back Matter....Pages 445-448
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