Contributions to Probability and Statistics: Essays in Honor of Ingram Olkin

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Leon J. Gleser, Michael D. Perlman, S. James Press, Allan R. Sampson
Springer Science & Business Media, Dec 6, 2012 - Mathematics - 505 pages
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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.
 

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Contents

A Brief Biography and Appreciation of Ingram Olkin
4
Bibliography of Ingram Olkin 35
34
A Convolution Inequality
51
Peakedness of Weighted Averages of Jointly Distributed
58
Some Results on Convolutions and a Statistical
75
The X + Y XY Characterization of the Gamma
91
A Bivariate Uniform Distribution
99
Multinomial Problems in Geometric Probability with
107
Parametric Empirical Bayes Rules for Selecting the Most
318
Bayesian Estimation in TwoWay Tables With
329
Calibrating For Differences
335
Complete Class Results For Linear Regression Designs
349
A Unified Method of Estimation in Linear Models with
357
Shrinking Techniques for Robust Regression
368
Asymptotic Mean Squared Error of Shrinkage
385
Likelihood Analysis of a Binomial Sample Size Problem
399

Probability Inequalities for nDimensional Rectangles
146
Minimum Majorization Decomposition
160
The Asymptotic Distribution of Characteristic Roots
177
Univariate and Multivariate Analyses of Variance
197
The Limiting Distribution of the Rank Correlation
217
Mean and Variance of Sample Size in Multivariate
227
A Comparative Study of Cluster Analysis
241
Bayesian Inference in Factor Analysis
271
Computational Aspects of Association for Bivariate
288
Linear and Nonlinear Models Ranking
302
Truncation Information and the Coefficient of Variation
412
Asymptotic Error Bounds for Power Approximations
429
Estimating the Normal Mean and Variance Under
447
Estimating Poisson Error Rates When Debugging
459
A Comparison of the Likelihood Ratio Wald and
465
On the Inadmissibility of the Modified StepDown Test
472
On A Statistical Problem Involving the Measurement
486
Index 501
500
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