The Energy of Data and Distance Correlation
暫譯: 數據能量與距離相關性

Szekely, Gabor J., Rizzo, Maria L.

The Energy of Data and Distance Correlation
  • 出版商: CRC
  • 出版日期: 2023-02-14
  • 售價: $3,950
  • 貴賓價: 9.5 折 $3,753
  • 語言: 英文
  • 頁數: 448
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1482242745
  • ISBN-13: 9781482242744

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

Energy distance is a statistical distance between the distributions of random vectors, which characterizes equality of distributions. The name energy derives from Newton's gravitational potential energy, and there is an elegant relation to the notion of potential energy between statistical observations. Energy statistics are functions of distances between statistical observations in metric spaces. The authors hope this book will spark the interest of most statisticians who so far have not explored E-statistics and would like to apply these new methods using R. The Energy of Data and Distance Correlation is intended for teachers and students looking for dedicated material on energy statistics, but can serve as a supplement to a wide range of courses and areas, such as Monte Carlo methods, U-statistics or V-statistics, measures of multivariate dependence, goodness-of-fit tests, nonparametric methods and distance based methods.

-E-statistics provides powerful methods to deal with problems in multivariate inference and analysis.

-Methods are implemented in R, and readers can immediately apply them using the freely available energy package for R.

-The proposed book will provide an overview of the existing state-of-the-art in development of energy statistics and an overview of applications.

-Background and literature review is valuable for anyone considering further research or application in energy statistics.

商品描述(中文翻譯)

能量距離是隨機向量分佈之間的統計距離，特徵化分佈的相等性。能量這個名稱源自牛頓的重力位能，並且與統計觀察之間的位能概念有著優雅的關聯。能量統計是度量空間中統計觀察之間距離的函數。作者希望這本書能激發大多數尚未探索E-統計的統計學家的興趣，並希望他們能使用R來應用這些新方法。《數據的能量與距離相關性》旨在為尋找專門材料的教師和學生提供能量統計的資源，但也可以作為蒙地卡羅方法、U-統計或V-統計、多變量依賴性度量、適合度檢驗、非參數方法和基於距離的方法等廣泛課程和領域的補充材料。

-E-統計提供強大的方法來處理多變量推斷和分析中的問題。

-這些方法已在R中實現，讀者可以立即使用免費提供的R能量套件來應用它們。

-本書將提供有關能量統計發展的現有最先進技術的概述以及應用的概述。

-背景和文獻回顧對於考慮進一步研究或應用能量統計的任何人來說都是有價值的。

作者簡介

Gábor J. Székely graduated from Eötvös Loránd University, Budapest, Hungary (ELTE) with MS in 1970, and Ph. D. in 1971. He joined the Department of Probability Theory of ELTE in 1970. In 1989 he became the funding chair of the Department of Stochastics of the Budapest Institute of Technology (Technical University of Budapest). In 1995 Székely moved to the US. Before that, in 1990-91 he was the first distinguished Lukacs Professor at Bowling Green State University, Ohio. Székely had several visiting positions, e.g., at the University of Amsterdam in 1976 and at Yale University in 1989. Between 1985 and 1995 he was the first Hungarian director of Budapest Semesters in Mathematics. Between 2006 and 2022, until his retirement, he was program director of statistics of the National Science Foundation (USA). Székely has almost 250 publications, including six books in several languages. In 1988 he received the Rollo Davidson Prize from Cambridge University, jointly with Imre Z. Ruzsa for their work on algebraic probability theory. In 2010 Székely became an elected fellow of the Institute of Mathematical Statistics for his seminal work on physics concepts in statistics like energy statistics and distance correlation. Székely was invited speaker at several Joint Statistics Meetings and also organizer of invited sessions on energy statistics and distance correlation. Székely has two children, Szilvia and Tamás, and six grandchildren: Elisa, Anna, Michaël and Lea, Eszter, Avi who live in Brussels, Belgium and Basel, Switzerland. Székely and his wife, Judit, live in McLean, Virginia and Budapest, Hungary.


Maria L. Rizzo

is Professor in the Department of Mathematics and Statistics at Bowling Green State University in Bowling Green, Ohio, where she teaches statistics, actuarial science, computational statistics, statistical programming and data science. Prior to joining the faculty at BGSU in 2006, she was a faculty member of the Department of Mathematics at Ohio University in Athens, Ohio. Her main research area is energy statistics and distance correlation. She is the software developer and maintainer of the energy package for R, and author of textbooks on statistical computing: "Statistical Computing with R" 1st and 2nd editions, "R by Example" (2nd edition in progress) with Jim Albert, and a forthcoming textbook on data science. Dr. Rizzo has eight PhD students and one current student, almost all with dissertations on energy statistics. Outside of work she enjoys spending time with her family including her husband, daughters, grandchildren and a large extended family.

作者簡介(中文翻譯)

加博·J·塞克利於1970年畢業於匈牙利布達佩斯厄爾特大學（Eötvös Loránd University, ELTE），獲得碩士學位，並於1971年獲得博士學位。他於1970年加入ELTE的機率論系。1989年，他成為布達佩斯科技大學（Technical University of Budapest）隨機過程系的創始系主任。1995年，塞克利移居美國。在此之前，1990至1991年，他是俄亥俄州博林格林州立大學的首位傑出盧卡奇教授。塞克利曾擔任多個訪問職位，例如1976年在阿姆斯特丹大學和1989年在耶魯大學。1985年至1995年間，他是布達佩斯數學學期的首位匈牙利主任。2006年至2022年，直到退休，他擔任美國國家科學基金會（National Science Foundation, USA）統計學項目主任。塞克利擁有近250篇出版物，包括六本多語言書籍。1988年，他與伊姆雷·Z·魯扎共同獲得劍橋大學的羅洛·戴維森獎，以表彰他們在代數機率論方面的研究。2010年，塞克利因其在統計學中物理概念的開創性工作（如能量統計和距離相關性）而當選為數學統計學會的院士。塞克利曾在多次聯合統計會議上擔任邀請演講者，並組織有關能量統計和距離相關性的邀請會議。塞克利有兩個孩子，西爾維亞和塔馬斯，以及六個孫子女：艾莉莎、安娜、米哈伊爾、莉亞、艾斯特和阿維，他們住在比利時布魯塞爾和瑞士巴塞爾。塞克利和他的妻子朱迪特住在維吉尼亞州麥克林和匈牙利布達佩斯。


瑪麗亞·L·里佐

是俄亥俄州博林格林州立大學數學與統計系的教授，教授統計學、精算科學、計算統計、統計編程和數據科學。在2006年加入BGSU的教職之前，她曾是俄亥俄大學（Ohio University）數學系的教職員。她的主要研究領域是能量統計和距離相關性。她是R語言的能量套件的軟體開發者和維護者，並且是統計計算教科書的作者，包括《使用R的統計計算》（Statistical Computing with R）第一版和第二版、《R範例》（R by Example，第二版正在進行中）與吉姆·阿爾伯特（Jim Albert）合著，以及即將出版的數據科學教科書。里佐博士有八名博士生和一名在讀學生，幾乎所有人的論文主題都是能量統計。工作之外，她喜歡與家人共度時光，包括她的丈夫、女兒、孫子女和一個大家庭。

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