Published in honor of the sixty-fifth birthday of Professor Ingram Olkin of Stanford University. Part I contains a brief biography of Professor Olkin and an interview with him discussing his career and his research interests. Part II contains 32 technical papers written in Professor Olkin's honor by his collaborators, colleagues, and Ph.D. students. These original papers cover a wealth of topics in mathematical and applied statistics, including probability inequalities and characterizations, multivariate analysis and association, linear and nonlinear models, ranking and selection, experimental…mehr
Published in honor of the sixty-fifth birthday of Professor Ingram Olkin of Stanford University. Part I contains a brief biography of Professor Olkin and an interview with him discussing his career and his research interests. Part II contains 32 technical papers written in Professor Olkin's honor by his collaborators, colleagues, and Ph.D. students. These original papers cover a wealth of topics in mathematical and applied statistics, including probability inequalities and characterizations, multivariate analysis and association, linear and nonlinear models, ranking and selection, experimental design, and approaches to statistical inference. The volume reflects the wide range of Professor Olkin's interests in and contributions to research in statistics, and provides an overview of new developments in these areas of research.
Preface v.- I An Appreciation.- A Brief Biography and Appreciation of Ingram Olkin.- A Conversation with Ingram Olkin.- Bibliography of Ingram Olkin 35.- II Contributions to Probability and Statistics.- A Probability Inequalities and Characterizations.- 1 A Convolution Inequality.- 2 Peakedness of Weighted Averages of Jointly Distributed Random Variables.- 3 Multivariate Majorization.- 4 Some Results on Convolutions and a Statistical Application.- 5 The X + Y, X/Y Characterization of the Gamma Distribution.- 6 A Bivariate Uniform Distribution.- 7 Multinomial Problems in Geometric Probability with Dirichlet Analysis.- 8 Probability Inequalities for n-Dimensional Rectangles via Multivariate Majorization.- 9 Minimum Majorization Decomposition.- B Multivariate Analysis and Association.- 10 The Asymptotic Distribution of Characteristic Roots and Vectors in Multivariate Components of Variance.- 11 Univariate and Multivariate Analyses of Variance for Incomplete Factorial Experiments Having Monotoqp Structure in Treatments.- 12 The Limiting Distribution of the Rank Correlation Coefficient $${R_g}$$.- 13 Mean and Variance of Sample Size in Multivariate Heteroscedastic Method.- 14 A Comparative Study of Cluster Analysis and MANCOVA in the Analysis of Mathematics Achievement Data.- 15 Bayesian Inference in Factor Analysis.- 16 Computational Aspects of Association for Bivariate Discrete Distributions.- C Linear and Nonlinear Models, Ranking and Selection, Design.- 17 A Comparison of the Performances of Procedures for Selecting the Normal Population Having the Largest Mean when the Variances are Known and Equal.- 18 Parametric Empirical Bayes Rules for Selecting the Most Probable Multinomial Event.- 19 Bayesian Estimation in Two-Way Tables With Heterogeneous Variances.- 20 Calibrating For Differences.- 21 Complete Class Results For Linear Regression Designs Over The Multi-Dimensional Cube.- 22 A Unified Method of Estimation in Linear Models with Mixed Effects.- 23 Shrinking Techniques for Robust Regression.- 24 Asymptotic Mean Squared Error of Shrinkage Estimators.- D Approaches to Inference.- 25 Likelihood Analysis of a Binomial Sample Size Problem.- 26 Truncation, Information, and the Coefficient of Variation.- 27 Asymptotic Error Bounds for Power Approximations to Multinomial Tests of Fit.- 28 Estimating the Normal Mean and Variance Under A Publication Selection Model.- 29 Estimating Poisson Error Rates When Debugging Software.- 30 A Comparison of the Likelihood Ratio, Wald, and Rao Tests.- 31 On the Inadmissibility of the Modified Step-Down Test Based on Fisher's Method For Combining Independent p-Values.- 32 On A Statistical Problem Involving the Measurement of Strength and Duration-of-Load for Construction Materials.
Preface v.- I An Appreciation.- A Brief Biography and Appreciation of Ingram Olkin.- A Conversation with Ingram Olkin.- Bibliography of Ingram Olkin 35.- II Contributions to Probability and Statistics.- A Probability Inequalities and Characterizations.- 1 A Convolution Inequality.- 2 Peakedness of Weighted Averages of Jointly Distributed Random Variables.- 3 Multivariate Majorization.- 4 Some Results on Convolutions and a Statistical Application.- 5 The X + Y, X/Y Characterization of the Gamma Distribution.- 6 A Bivariate Uniform Distribution.- 7 Multinomial Problems in Geometric Probability with Dirichlet Analysis.- 8 Probability Inequalities for n-Dimensional Rectangles via Multivariate Majorization.- 9 Minimum Majorization Decomposition.- B Multivariate Analysis and Association.- 10 The Asymptotic Distribution of Characteristic Roots and Vectors in Multivariate Components of Variance.- 11 Univariate and Multivariate Analyses of Variance for Incomplete Factorial Experiments Having Monotoqp Structure in Treatments.- 12 The Limiting Distribution of the Rank Correlation Coefficient $${R_g}$$.- 13 Mean and Variance of Sample Size in Multivariate Heteroscedastic Method.- 14 A Comparative Study of Cluster Analysis and MANCOVA in the Analysis of Mathematics Achievement Data.- 15 Bayesian Inference in Factor Analysis.- 16 Computational Aspects of Association for Bivariate Discrete Distributions.- C Linear and Nonlinear Models, Ranking and Selection, Design.- 17 A Comparison of the Performances of Procedures for Selecting the Normal Population Having the Largest Mean when the Variances are Known and Equal.- 18 Parametric Empirical Bayes Rules for Selecting the Most Probable Multinomial Event.- 19 Bayesian Estimation in Two-Way Tables With Heterogeneous Variances.- 20 Calibrating For Differences.- 21 Complete Class Results For Linear Regression Designs Over The Multi-Dimensional Cube.- 22 A Unified Method of Estimation in Linear Models with Mixed Effects.- 23 Shrinking Techniques for Robust Regression.- 24 Asymptotic Mean Squared Error of Shrinkage Estimators.- D Approaches to Inference.- 25 Likelihood Analysis of a Binomial Sample Size Problem.- 26 Truncation, Information, and the Coefficient of Variation.- 27 Asymptotic Error Bounds for Power Approximations to Multinomial Tests of Fit.- 28 Estimating the Normal Mean and Variance Under A Publication Selection Model.- 29 Estimating Poisson Error Rates When Debugging Software.- 30 A Comparison of the Likelihood Ratio, Wald, and Rao Tests.- 31 On the Inadmissibility of the Modified Step-Down Test Based on Fisher's Method For Combining Independent p-Values.- 32 On A Statistical Problem Involving the Measurement of Strength and Duration-of-Load for Construction Materials.
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