Probability Distributions for Directional Data on Smooth Manifolds

SenGupta, Ashis, Shimizu, Kunio

Probability Distributions for Directional Data on Smooth Manifolds
  • 出版商: Wiley
  • 出版日期: 2026-06-24
  • 售價: $4,580
  • 貴賓價: 9.5 折 $4,351
  • 語言: 英文
  • 頁數: 272
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1119414067
  • ISBN-13: 9781119414063

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商品描述

This book provides a comprehensive and rigorous treatment of real-life scientific problems which encounter non-linear data. The authors first present methods for developing distributions on a circle. Then, they proceed to show how such methods are generalized for other manifolds. They also consider new methods peculiar to certain other manifolds, like disc and hyperdisc. The organization of the book develops the methods from the beginning for a simple manifold, letting the reader appreciate how these unfold and generalize to more complicated manifolds. Next, rather than separately treating one distribution at a time, the authors develop the generalizations of the methods of derivations. Finally, new distributions are presented as outcomes of these generalizations. The authors also provide several real-life examples, which not only attest to the ongoing usefulness, but will also help the reader visualize other modern day areas of the applications of these important distributions.

商品描述(中文翻譯)

本書全面且嚴謹地探討了在遇到非線性數據的真實科學問題時的解決方法。作者首先介紹了在圓上建立分佈的方法，然後將這些方法推廣到其他流形上。他們還考慮了特定其他流形（如圓盤和超球）的新方法。本書的組織從一個簡單的流形開始發展方法，讓讀者能夠理解這些方法如何展開並推廣到更複雜的流形。接下來，作者不是分別處理每個分佈，而是發展了導數方法的推廣。最後，新的分佈被作為這些推廣的結果呈現。作者還提供了幾個真實案例，這些案例不僅證明了這些重要分佈的持續實用性，還將幫助讀者想像這些分佈在現代應用領域的其他應用。

作者簡介

Ashis SenGupta, PhD, is Professor in the Applied Statistics Unit at Indian Statistical Institute, Kolkata, India. He received his PhD in Statistics from Ohio State University, USA. Dr. SenGupta is also Adjunct Professor in the Department of Biostatistics and Epidemiology at Augusta University, Georgia, USA. He is a Life Member of the International Indian Statistical Association and the International Forum for Interdisciplinary Mathematics.

Kunio Shimizu, PhD, is Adjunct Professor in the School of Statistical Thinking at The Institute of Statistical Mathematics, Tokyo, Japan. He is also Professor Emeritus in the Faculty of Science and Technology at Keio University, Tokyo, Japan. Dr. Shimizu is currently the Chair of the Working Group on Mathematical Statistics at the Science Council of Japan. In 2001 he was awarded the Jacob Wolfowitz Prize by the American Journal of Mathematical and Management Sciences.

作者簡介(中文翻譯)

Ashis SenGupta博士是印度統計研究所應用統計單位的教授，位於印度加爾各答。他在美國俄亥俄州立大學獲得統計學博士學位。SenGupta博士還是美國喬治亞州奧古斯塔大學生物統計與流行病學系的兼職教授。他是國際印度統計學會和國際跨學科數學論壇的終身會員。

Kunio Shimizu博士是東京統計數學研究所統計思維學院的兼職教授，位於日本東京。他還是日本慶應義塾大學理學與技術學院的名譽教授。Shimizu博士目前是日本科學委員會數學統計工作組的主席。2001年，他獲得了《美國數學與管理科學期刊》頒發的Jacob Wolfowitz獎。

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