Pioneering Works on Distribution Theory
In Honor of Masaaki Sibuya
Editors: Hoshino, Nobuaki, Mano, Shuhei, Shimura, Takaaki (Eds.)
Free Preview- 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
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- About this book
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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. - About the authors
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Nobuaki Hoshino, Kanazawa University
Shuhei Mano, The Institute of Statistical Mathematics
Takaaki Shimura, The Institute of Statistical Mathematics
- Table of contents (6 chapters)
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Gibbs Base Random Partitions
Pages 1-35
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Asymptotic and Approximate Discrete Distributions for the Length of the Ewens Sampling Formula
Pages 37-53
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Error Bounds for the Normal Approximation to the Length of a Ewens Partition
Pages 55-73
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Distribution of Number of Levels in an $$[\varvec{s}]$$-Specified Random Permutation
Pages 75-85
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Properties of General Systems of Orthogonal Polynomials with a Symmetric Matrix Argument
Pages 87-102
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Pioneering Works on Distribution Theory
- Book Subtitle
- In Honor of Masaaki Sibuya
- Editors
-
- Nobuaki Hoshino
- Shuhei Mano
- Takaaki Shimura
- Series Title
- JSS Research Series in Statistics
- Copyright
- 2020
- Publisher
- Springer Singapore
- Copyright Holder
- The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
- eBook ISBN
- 978-981-15-9663-6
- DOI
- 10.1007/978-981-15-9663-6
- Softcover ISBN
- 978-981-15-9662-9
- Series ISSN
- 2364-0057
- Edition Number
- 1
- Number of Pages
- VII, 121
- Number of Illustrations
- 21 b/w illustrations, 1 illustrations in colour
- Topics
