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Pioneering Works on Distribution Theory

In Honor of Masaaki Sibuya

  • Book
  • © 2020

Overview

Editors:
  1. Nobuaki Hoshino

    1. School of Economics, Kanazawa University, Kanazawa, Japan

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  2. Shuhei Mano

    1. The Institute of Statistical Mathematics, Tachikawa, Japan

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  3. Takaaki Shimura

    1. The Institute of Statistical Mathematics, Tachikawa, Japan

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  • Gathers a wealth of rigorously peer-reviewed contributions, written by respected experts
  • Highlights the latest approaches to statistical distributions
  • Though chiefly focusing on theory, will also appeal to readers interested in applied probabilities

Part of the book series: SpringerBriefs in Statistics (BRIEFSSTATIST)

Part of the book sub series: JSS Research Series in Statistics (JSSRES)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-vii
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  2. Gibbs Base Random Partitions

    • Masaaki Sibuya
    Pages 1-35

  3. Asymptotic and Approximate Discrete Distributions for the Length of the Ewens Sampling Formula

    • Hajime Yamato
    Pages 37-53

  4. Error Bounds for the Normal Approximation to the Length of a Ewens Partition

    • Koji Tsukuda
    Pages 55-73

  5. Distribution of Number of Levels in an \([\varvec{s}]\)-Specified Random Permutation

    • James C. Fu
    Pages 75-85

  6. Properties of General Systems of Orthogonal Polynomials with a Symmetric Matrix Argument

    • Yasuko Chikuse
    Pages 87-102

  7. A Characterization of Jeffreys’ Prior with Its Implications to Likelihood Inference

    • Takemi Yanagimoto, Toshio Ohnishi
    Pages 103-121
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Keywords

About this book

This book highlights the forefront of research on statistical distribution theory, with a focus on unconventional random quantities, and on phenomena such as random partitioning. The respective papers reflect the continuing appeal of distribution theory and the lively interest in this classic field, which owes much of its expansion since the 1960s to Professor Masaaki Sibuya, to whom this book is dedicated.


The topics addressed include a test procedure for discriminating the (multivariate) Ewens distribution from the Pitman Sampling Formula, approximation to the length of the Ewens distribution by discrete distributions and the normal distribution, and the distribution of the number of levels in [s]-specified random permutations. Also included are distributions associated with orthogonal polynomials with a symmetric matrix argument and the characterization of the Jeffreys prior.

Editors and Affiliations

  • School of Economics, Kanazawa University, Kanazawa, Japan

    Nobuaki Hoshino

  • The Institute of Statistical Mathematics, Tachikawa, Japan

    Shuhei Mano, Takaaki Shimura

About the editors

Nobuaki Hoshino, Kanazawa University

Shuhei Mano, The Institute of Statistical Mathematics


Takaaki Shimura, The Institute of Statistical Mathematics

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