## Contributions to Probability and Statistics: Essays in Honor of Ingram OlkinLeon J. Gleser, Michael D. Perlman, S. James Press, Allan R. Sampson 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

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 |

500 | |

### Other editions - View all

Contributions to Probability and Statistics Leon J Gleser,Michael D Perlman,S. James Press No preview available - 1989 |

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