Pioneering Works on Distribution Theory

Nobuaki Hoshino

ISBN 10: 981159662X / ISBN 13: 9789811596629

Published by Springer Nature Singapore Jan 2021, 2021

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 132 pp. Englisch.

Seller Inventory # 9789811596629

Bibliographic Details

• Title: Pioneering Works on Distribution Theory
• Publisher: Springer Nature Singapore Jan 2021
• Publication Date: 2021
• Language: English
• ISBN 10: 981159662X
• ISBN 13: 9789811596629
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 8D millimeters 235 millimeters width by 155 millimeters height by 8 millimeters depth
• Weight: 213 grams

About this title

Synopsis

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 Author

Nobuaki Hoshino, Kanazawa University

Shuhei Mano, The Institute of Statistical Mathematics

Takaaki Shimura, The Institute of Statistical Mathematics