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Author : R. M. Dudley
Publisher : Cambridge University Press
Page : 485 pages
File Size : 32,30 MB
Release : 2014-02-24
Category : Mathematics
ISBN : 0521498848
This expanded edition of the classic work on empirical processes now boasts several new proved theorems not in the first.
Author : R. M. Dudley
Publisher :
Page : 482 pages
File Size : 16,68 MB
Release : 2014
Category : Central limit theorem
ISBN : 9781107720220
Author : R. M. Dudley
Publisher : Cambridge University Press
Page : 485 pages
File Size : 20,65 MB
Release : 2014-02-24
Category : Mathematics
ISBN : 1107728886
In this new edition of a classic work on empirical processes the author, an acknowledged expert, gives a thorough treatment of the subject with the addition of several proved theorems not included in the first edition, including the Bretagnolle–Massart theorem giving constants in the Komlos–Major–Tusnady rate of convergence for the classical empirical process, Massart's form of the Dvoretzky–Kiefer–Wolfowitz inequality with precise constant, Talagrand's generic chaining approach to boundedness of Gaussian processes, a characterization of uniform Glivenko–Cantelli classes of functions, Giné and Zinn's characterization of uniform Donsker classes, and the Bousquet–Koltchinskii–Panchenko theorem that the convex hull of a uniform Donsker class is uniform Donsker. The book will be an essential reference for mathematicians working in infinite-dimensional central limit theorems, mathematical statisticians, and computer scientists working in computer learning theory. Problems are included at the end of each chapter so the book can also be used as an advanced text.
Author : R. M. Dudley
Publisher : Cambridge University Press
Page : 452 pages
File Size : 37,30 MB
Release : 1999-07-28
Category : Mathematics
ISBN : 0521461022
This treatise by an acknowledged expert includes several topics not found in any previous book.
Author : Jakob Söhl
Publisher :
Page : pages
File Size : 17,20 MB
Release : 2012
Category :
ISBN :
Author : Oliver Thomas Johnson
Publisher : World Scientific
Page : 224 pages
File Size : 27,26 MB
Release : 2004
Category : Mathematics
ISBN : 1860944736
This book provides a comprehensive description of a new method of proving the central limit theorem, through the use of apparently unrelated results from information theory. It gives a basic introduction to the concepts of entropy and Fisher information, and collects together standard results concerning their behaviour. It brings together results from a number of research papers as well as unpublished material, showing how the techniques can give a unified view of limit theorems.
Author : Klaus Ziegler
Publisher :
Page : 119 pages
File Size : 31,84 MB
Release : 1994
Category :
ISBN :
Author : Openstax
Publisher :
Page : 914 pages
File Size : 49,74 MB
Release : 2022-03-23
Category : Mathematics
ISBN : 9788565775120
Introductory Statistics follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs. Senior Contributing Authors Barbara Illowsky, De Anza College Susan Dean, De Anza College Contributing Authors Daniel Birmajer, Nazareth College Bryan Blount, Kentucky Wesleyan College Sheri Boyd, Rollins College Matthew Einsohn, Prescott College James Helmreich, Marist College Lynette Kenyon, Collin County Community College Sheldon Lee, Viterbo University Jeff Taub, Maine Maritime Academy
Author : D. Pollard
Publisher : David Pollard
Page : 223 pages
File Size : 10,54 MB
Release : 1984-10-08
Category : Mathematics
ISBN : 0387909907
Functionals on stochastic processes; Uniform convergence of empirical measures; Convergence in distribution in euclidean spaces; Convergence in distribution in metric spaces; The uniform metric on space of cadlag functions; The skorohod metric on D [0, oo); Central limit teorems; Martingales.
Author : Hans Fischer
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 50,12 MB
Release : 2010-10-08
Category : Mathematics
ISBN : 0387878572
This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications. Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.