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The Rate Of Convergence In A Central Limit Theorem For Dependent Random Variables With Arbitrary Index Set
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Author :University of Minnesota. Institute for Mathematics and Its Applications Publisher : ISBN 13 : Total Pages :33 pages Book Rating :4.:/5 (123 download)
Book Synopsis The Rate of Convergence in a Central Limit Theorem for Dependent Random Variables with Arbitrary Index Set by : University of Minnesota. Institute for Mathematics and Its Applications
Download or read book The Rate of Convergence in a Central Limit Theorem for Dependent Random Variables with Arbitrary Index Set written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1986 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Stein's Method by : A. D. Barbour
Download or read book An Introduction to Stein's Method written by A. D. Barbour and published by World Scientific. This book was released on 2005 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: A common theme in probability theory is the approximation of complicated probability distributions by simpler ones, the central limit theorem being a classical example. Stein's method is a tool which makes this possible in a wide variety of situations. Traditional approaches, for example using Fourier analysis, become awkward to carry through in situations in which dependence plays an important part, whereas Stein's method can often still be applied to great effect. In addition, the method delivers estimates for the error in the approximation, and not just a proof of convergence. Nor is there in principle any restriction on the distribution to be approximated; it can equally well be normal, or Poisson, or that of the whole path of a random process, though the techniques have so far been worked out in much more detail for the classical approximation theorems.This volume of lecture notes provides a detailed introduction to the theory and application of Stein's method, in a form suitable for graduate students who want to acquaint themselves with the method. It includes chapters treating normal, Poisson and compound Poisson approximation, approximation by Poisson processes, and approximation by an arbitrary distribution, written by experts in the different fields. The lectures take the reader from the very basics of Stein's method to the limits of current knowledge.
Book Synopsis Microsurveys in Discrete Probability by : David J. Aldous
Download or read book Microsurveys in Discrete Probability written by David J. Aldous and published by American Mathematical Soc.. This book was released on 1998-01-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eleven articles surveying emerging topics in discrete probability. The papers are based on talks given by experts at the DIMACS "Microsurveys in Discrete Probability" workshop held at the Institute for Advanced Study, Princeton, NJ, in 1997. This compilation of current research in discrete probability provides a unique overview that is not available elsewhere in book or survey form. Topics covered in the volume include: Markov chains (pefect sampling, coupling from the past, mixing times), random trees (spanning trees on infinite graphs, enumeration of trees and forests, tree-valued Markov chains), distributional estimates (method of bounded differences, Stein-Chen method for normal approximation), dynamical percolation, Poisson processes, and reconstructing random walk from scenery.
Book Synopsis Probability Towards 2000 by : L. Accardi
Download or read book Probability Towards 2000 written by L. Accardi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Senior probabilists from around the world with widely differing specialities gave their visions of the state of their specialty, why they think it is important, and how they think it will develop in the new millenium. The volume includes papers given at a symposium at Columbia University in 1995, but papers from others not at the meeting were added to broaden the coverage of areas. All papers were refereed.
Book Synopsis Probability and Statistical Models with Applications by : CH. A. Charalambides
Download or read book Probability and Statistical Models with Applications written by CH. A. Charalambides and published by CRC Press. This book was released on 2000-09-21 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph of carefully collected articles reviews recent developments in theoretical and applied statistical science, highlights current noteworthy results and illustrates their applications; and points out possible new directions to pursue. With its enlightening account of statistical discoveries and its numerous figures and tables, Probabili
Book Synopsis Random Discrete Structures by : David Aldous
Download or read book Random Discrete Structures written by David Aldous and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume present the state of the art in a variety of areas of discrete probability, including random walks on finite and infinite graphs, random trees, renewal sequences, Stein's method for normal approximation and Kohonen-type self-organizing maps. This volume also focuses on discrete probability and its connections with the theory of algorithms. Classical topics in discrete mathematics are represented as are expositions that condense and make readable some recent work on Markov chains, potential theory and the second moment method. This volume is suitable for mathematicians and students.
Book Synopsis Rates of Convergence in the Central Limit Theorem by : Peter Hall
Download or read book Rates of Convergence in the Central Limit Theorem written by Peter Hall and published by . This book was released on 1982 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Applied Probability by :
Download or read book Advances in Applied Probability written by and published by . This book was released on 2001 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rates of Convergence in the Central-limit Theorem for Dependent-variables by : William Fer Grams
Download or read book Rates of Convergence in the Central-limit Theorem for Dependent-variables written by William Fer Grams and published by . This book was released on 1972 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Celebration of Applied Probability by : Joseph Mark Gani
Download or read book A Celebration of Applied Probability written by Joseph Mark Gani and published by . This book was released on 1988 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modelos estocásticos by : José María González Barrios
Download or read book Modelos estocásticos written by José María González Barrios and published by . This book was released on 1998 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Convergence Rates in the Central Limit Theorem for Multidimensionally Indexed Random Variables by : Allan Gut
Download or read book Convergence Rates in the Central Limit Theorem for Multidimensionally Indexed Random Variables written by Allan Gut and published by . This book was released on 2000 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A NON-UNIFORM ESTIMATE OF THE RATE OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR M-DEPENDENT RANDOM FIELDS by : B.L.S. PRAKASA RAO
Download or read book A NON-UNIFORM ESTIMATE OF THE RATE OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR M-DEPENDENT RANDOM FIELDS written by B.L.S. PRAKASA RAO and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables by : Shoumei Li
Download or read book Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables written by Shoumei Li and published by Springer Science & Business Media. This book was released on 2002-10-31 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a clear, systematic treatment of convergence theorems of set-valued random variables (random sets) and fuzzy set-valued random variables (random fuzzy sets). Topics such as strong laws of large numbers and central limit theorems, including new results in connection with the theory of empirical processes are covered. The author's own recent developments on martingale convergence theorems and their applications to data processing are also included. The mathematical foundations along with a clear explanation such as Hölmander's embedding theorem, notions of various convergence of sets and fuzzy sets, Aumann integrals, conditional expectations, selection theorems, measurability and integrability arguments for both set-valued and fuzzy set-valued random variables and newly obtained optimizations techniques based on invariant properties are also given.
Book Synopsis Probability Theory Subject Indexes from Mathematical Reviews by : American Mathematical Society
Download or read book Probability Theory Subject Indexes from Mathematical Reviews written by American Mathematical Society and published by . This book was released on 1987 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Qualitative Effects in the Estimates of the Convergence Rate in the Central Limit Theorem in Multidimensional Spaces by : V. V. Senatov
Download or read book Qualitative Effects in the Estimates of the Convergence Rate in the Central Limit Theorem in Multidimensional Spaces written by V. V. Senatov and published by . This book was released on 1996 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the accuracy is investigated of the normal approximation for distributions of sums of independent random variables taking values in an infinite-dimensional Hilbert space. The distributions of normalized sums are compared to the limit normal law on the balls in the Hilbert space. Both the upper estimates and the lower estimates there obtained. The estimates in the infinite-dimensional case essentially differ from those in the finite-dimensional case, and one of the aims of this monograph is to analyze these qualitative distinctions. A new method is used to prove the estimates. The main tools of this method are metrics with special properties. The work is intended for researchers, students, and post-graduates in probability theory and related fields and for specialists interested in approximation problems in functional spaces.
Book Synopsis Limit Theorems for Associated Random Fields and Related Systems by : Aleksandr Vadimovich Bulinskiĭ
Download or read book Limit Theorems for Associated Random Fields and Related Systems written by Aleksandr Vadimovich Bulinskiĭ and published by World Scientific Publishing Company Incorporated. This book was released on 2007 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the asymptotic properties of wide classes of stochastic systems as the arise in mathematical statistics, percolation theory, statistical physics and reliability theory, Bulinski and Shashkin (both mathematics, Moscow State U.) provide detailed proofs as well as auxiliary results. They address positive and negative associations introduced by pioneering papers but also new and more general dependence conditions as well as examples of Markov processes. They cover random systems with covariance inequalities, moment and maximal inequalities, the central limit theorem, the "almost sure" convergence, invariance principles, the law of the iterated logarithm, statistical applications, and integral functionals. The bibliography is very comprehensive. His book would work well for researchers as well as graduate students.
