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Contributions to Probability and Statistics

Essays in Honor of Ingram Olkin

  • Book
  • © 1989

Overview

Editors:
  1. Leon Jay Gleser

    1. Department of Statistics, Purdue University, West Lafayette, USA

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  2. Michael D. Perlman

    1. Department of Statistics, University of Washington, Seattle, USA

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  3. S. James Press

    1. Department of Statistics, University of California, Riverside, USA

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  4. Allan R. Sampson

    1. Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, USA

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Table of contents (36 chapters)

  1. Front Matter

    Pages i-x
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  2. An Appreciation

    1. Front Matter

      Pages 1-1
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    2. A Brief Biography and Appreciation of Ingram Olkin

      • Leon Jay Gleser, Michael D. Perlman, S. James Press, Allan R. Sampson
      Pages 3-5

    3. A Conversation with Ingram Olkin

      • Leon Jay Gleser, Michael D. Perlman, S. James Press, Allan R. Sampson
      Pages 7-33

    4. Bibliography of Ingram Olkin

      • Leon Jay Gleser, Michael D. Perlman, S. James Press, Allan R. Sampson
      Pages 35-48

  3. Contributions to Probability and Statistics

    1. Front Matter

      Pages 49-49
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    2. Probability Inequalities and Characterizations

      1. A Convolution Inequality
        • Gavin Brown, Larry Shepp
        Pages 51-57
      2. Peakedness of Weighted Averages of Jointly Distributed Random Variables
        • Wai Chan, Dong Ho Park, Frank Proschan
        Pages 58-62
      3. Multivariate Majorization
        • Somesh Das Gupta, Subir Kumar Bhandari
        Pages 63-74
      4. Some Results on Convolutions and a Statistical Application
        • M. L. Eaton, L. J. Gleser
        Pages 75-90
      5. The <i>X + Y, X/Y</i> Characterization of the Gamma Distribution
        • George Marsaglia
        Pages 91-98
      6. A Bivariate Uniform Distribution
        • Albert W. Marshall
        Pages 99-106
      7. Multinomial Problems in Geometric Probability with Dirichlet Analysis
        • Milton Sobel
        Pages 107-145
      8. Probability Inequalities for <i>n</i>-Dimensional Rectangles via Multivariate Majorization
        • Y. L. Tong
        Pages 146-159
      9. Minimum Majorization Decomposition
        • Joseph S. Verducci
        Pages 160-173
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Statistics, Purdue University, West Lafayette, USA

    Leon Jay Gleser

  • Department of Statistics, University of Washington, Seattle, USA

    Michael D. Perlman

  • Department of Statistics, University of California, Riverside, USA

    S. James Press

  • Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, USA

    Allan R. Sampson

Bibliographic Information

  • Book Title: Contributions to Probability and Statistics

  • Book Subtitle: Essays in Honor of Ingram Olkin

  • Editors: Leon Jay Gleser, Michael D. Perlman, S. James Press, Allan R. Sampson

  • DOI: https://doi.org/10.1007/978-1-4612-3678-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1989

  • Softcover ISBN: 978-1-4612-8200-6Published: 17 September 2011

  • eBook ISBN: 978-1-4612-3678-8Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: X, 505

  • Topics: Probability Theory and Stochastic Processes, Statistics, general

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