Uniform Central Limit Theorems
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Author |
: R. M. Dudley |
Publisher |
: Cambridge University Press |
Total Pages |
: 485 |
Release |
: 2014-02-24 |
ISBN-10 |
: 9780521498845 |
ISBN-13 |
: 0521498848 |
Rating |
: 4/5 (45 Downloads) |
Synopsis Uniform Central Limit Theorems by : R. M. Dudley
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 |
: |
Total Pages |
: 482 |
Release |
: 2014 |
ISBN-10 |
: 1107720222 |
ISBN-13 |
: 9781107720220 |
Rating |
: 4/5 (22 Downloads) |
Synopsis Uniform Central Limit Theorems by : R. M. Dudley
Author |
: R. M. Dudley |
Publisher |
: Cambridge University Press |
Total Pages |
: 452 |
Release |
: 1999-07-28 |
ISBN-10 |
: 9780521461023 |
ISBN-13 |
: 0521461022 |
Rating |
: 4/5 (23 Downloads) |
Synopsis Uniform Central Limit Theorems by : R. M. Dudley
This treatise by an acknowledged expert includes several topics not found in any previous book.
Author |
: R. M. Dudley |
Publisher |
: Cambridge University Press |
Total Pages |
: 485 |
Release |
: 2014-02-24 |
ISBN-10 |
: 9781107728882 |
ISBN-13 |
: 1107728886 |
Rating |
: 4/5 (82 Downloads) |
Synopsis Uniform Central Limit Theorems by : R. M. Dudley
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 |
: Jakob Söhl |
Publisher |
: |
Total Pages |
: |
Release |
: 2012 |
ISBN-10 |
: OCLC:1155608075 |
ISBN-13 |
: |
Rating |
: 4/5 (75 Downloads) |
Synopsis A Uniform Central Limit Theorem and Efficiency for Deconvolution Estimators by : Jakob Söhl
Author |
: Oliver Thomas Johnson |
Publisher |
: World Scientific |
Total Pages |
: 224 |
Release |
: 2004 |
ISBN-10 |
: 9781860944734 |
ISBN-13 |
: 1860944736 |
Rating |
: 4/5 (34 Downloads) |
Synopsis Information Theory and the Central Limit Theorem by : Oliver Thomas Johnson
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 |
: Openstax |
Publisher |
: |
Total Pages |
: 914 |
Release |
: 2022-03-23 |
ISBN-10 |
: 8565775127 |
ISBN-13 |
: 9788565775120 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Introductory Statistics by : Openstax
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 |
: Klaus Ziegler |
Publisher |
: |
Total Pages |
: 119 |
Release |
: 1994 |
ISBN-10 |
: OCLC:1025655426 |
ISBN-13 |
: |
Rating |
: 4/5 (26 Downloads) |
Synopsis On Functional Central Limit Theorems and Uniform Laws of Large Numbers for Sums of Independent Processes by : Klaus Ziegler
Author |
: Hans Fischer |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 415 |
Release |
: 2010-10-08 |
ISBN-10 |
: 9780387878577 |
ISBN-13 |
: 0387878572 |
Rating |
: 4/5 (77 Downloads) |
Synopsis A History of the Central Limit Theorem by : Hans Fischer
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.
Author |
: D. Pollard |
Publisher |
: David Pollard |
Total Pages |
: 223 |
Release |
: 1984-10-08 |
ISBN-10 |
: 9780387909905 |
ISBN-13 |
: 0387909907 |
Rating |
: 4/5 (05 Downloads) |
Synopsis Convergence of Stochastic Processes by : D. Pollard
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.