On The Central Limit Theorem For Geometrically Ergodic Markov Chains

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High Dimensional Probability VII

Author : Christian Houdré
Publisher : Birkhäuser
ISBN 13 : 3319405195
Total Pages : 480 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis High Dimensional Probability VII by : Christian Houdré

Download or read book High Dimensional Probability VII written by Christian Houdré and published by Birkhäuser. This book was released on 2016-09-21 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects selected papers from the 7th High Dimensional Probability meeting held at the Institut d'Études Scientifiques de Cargèse (IESC) in Corsica, France. High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkable feature of this area is that it has resulted in the creation of powerful new tools and perspectives, whose range of application has led to interactions with other subfields of mathematics, statistics, and computer science. These include random matrices, nonparametric statistics, empirical processes, statistical learning theory, concentration of measure phenomena, strong and weak approximations, functional estimation, combinatorial optimization, and random graphs. The contributions in this volume show that HDP theory continues to thrive and develop new tools, methods, techniques and perspectives to analyze random phenomena.

High Dimensional Probability IX

Author : Radosław Adamczak
Publisher : Springer Nature
ISBN 13 : 3031269799
Total Pages : 445 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis High Dimensional Probability IX by : Radosław Adamczak

Download or read book High Dimensional Probability IX written by Radosław Adamczak and published by Springer Nature. This book was released on 2023-06-05 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects selected papers from the Ninth High Dimensional Probability Conference, held virtually from June 15-19, 2020. These papers cover a wide range of topics and demonstrate how high-dimensional probability remains an active area of research with applications across many mathematical disciplines. Chapters are organized around four general topics: inequalities and convexity; limit theorems; stochastic processes; and high-dimensional statistics. High Dimensional Probability IX will be a valuable resource for researchers in this area.

Introduction to Probability

Author : David F. Anderson
Publisher : Cambridge University Press
ISBN 13 : 110824498X
Total Pages : 447 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Introduction to Probability by : David F. Anderson

Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

Limit Theorems for Functionals of Ergodic Markov Chains with General State Space

Author : Xia Chen
Publisher : American Mathematical Soc.
ISBN 13 : 082181060X
Total Pages : 225 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Limit Theorems for Functionals of Ergodic Markov Chains with General State Space by : Xia Chen

Download or read book Limit Theorems for Functionals of Ergodic Markov Chains with General State Space written by Xia Chen and published by American Mathematical Soc.. This book was released on 1999 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians working probability theory and statistics.

Handbook of Markov Chain Monte Carlo

Author : Steve Brooks
Publisher : CRC Press
ISBN 13 : 1420079425
Total Pages : 620 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Markov Chain Monte Carlo by : Steve Brooks

Download or read book Handbook of Markov Chain Monte Carlo written by Steve Brooks and published by CRC Press. This book was released on 2011-05-10 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their popularization in the 1990s, Markov chain Monte Carlo (MCMC) methods have revolutionized statistical computing and have had an especially profound impact on the practice of Bayesian statistics. Furthermore, MCMC methods have enabled the development and use of intricate models in an astonishing array of disciplines as diverse as fisherie

Markov Chain Monte Carlo in Practice

Author : W.R. Gilks
Publisher : CRC Press
ISBN 13 : 1482214970
Total Pages : 505 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Markov Chain Monte Carlo in Practice by : W.R. Gilks

Download or read book Markov Chain Monte Carlo in Practice written by W.R. Gilks and published by CRC Press. This book was released on 1995-12-01 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a family study of breast cancer, epidemiologists in Southern California increase the power for detecting a gene-environment interaction. In Gambia, a study helps a vaccination program reduce the incidence of Hepatitis B carriage. Archaeologists in Austria place a Bronze Age site in its true temporal location on the calendar scale. And in France,

Chaos: A Statistical Perspective

Author : Kung-Sik Chan
Publisher : Springer Science & Business Media
ISBN 13 : 1475734646
Total Pages : 312 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Chaos: A Statistical Perspective by : Kung-Sik Chan

Download or read book Chaos: A Statistical Perspective written by Kung-Sik Chan and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses dynamical systems that are typically driven by stochastic dynamic noise. It is written by two statisticians essentially for the statistically inclined readers. It covers many of the contributions made by the statisticians in the past twenty years or so towards our understanding of estimation, the Lyapunov-like index, the nonparametric regression, and many others, many of which are motivated by their dynamical system counterparts but have now acquired a distinct statistical flavor.

Ergodic Behavior of Markov Processes

Author : Alexei Kulik
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110458713
Total Pages : 316 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Ergodic Behavior of Markov Processes by : Alexei Kulik

Download or read book Ergodic Behavior of Markov Processes written by Alexei Kulik and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-11-20 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general topic of this book is the ergodic behavior of Markov processes. A detailed introduction to methods for proving ergodicity and upper bounds for ergodic rates is presented in the first part of the book, with the focus put on weak ergodic rates, typical for Markov systems with complicated structure. The second part is devoted to the application of these methods to limit theorems for functionals of Markov processes. The book is aimed at a wide audience with a background in probability and measure theory. Some knowledge of stochastic processes and stochastic differential equations helps in a deeper understanding of specific examples. Contents Part I: Ergodic Rates for Markov Chains and Processes Markov Chains with Discrete State Spaces General Markov Chains: Ergodicity in Total Variation MarkovProcesseswithContinuousTime Weak Ergodic Rates Part II: Limit Theorems The Law of Large Numbers and the Central Limit Theorem Functional Limit Theorems

Séminaire de Probabilités L

Author : Catherine Donati-Martin
Publisher : Springer Nature
ISBN 13 : 3030285359
Total Pages : 562 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Séminaire de Probabilités L by : Catherine Donati-Martin

Download or read book Séminaire de Probabilités L written by Catherine Donati-Martin and published by Springer Nature. This book was released on 2019-11-19 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This milestone 50th volume of the "Séminaire de Probabilités" pays tribute with a series of memorial texts to one of its former editors, Jacques Azéma, who passed away in January. The founders of the "Séminaire de Strasbourg", which included Jacques Azéma, probably had no idea of the possible longevity and success of the process they initiated in 1967. Continuing in this long tradition, this volume contains contributions on state-of-art research on Brownian filtrations, stochastic differential equations and their applications, regularity structures, quantum diffusion, interlacing diffusions, mod-Ø convergence, Markov soup, stochastic billiards and other current streams of research.

Selected Proceedings of the Symposium on Inference for Stochastic Processes

Author : Ishwar V. Basawa
Publisher : IMS
ISBN 13 : 9780940600515
Total Pages : 370 pages
Book Rating : 4.6/5 (5 download)

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Book Synopsis Selected Proceedings of the Symposium on Inference for Stochastic Processes by : Ishwar V. Basawa

Download or read book Selected Proceedings of the Symposium on Inference for Stochastic Processes written by Ishwar V. Basawa and published by IMS. This book was released on 2001 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on the Coupling Method

Author : Torgny Lindvall
Publisher : Courier Corporation
ISBN 13 : 048615324X
Total Pages : 292 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Lectures on the Coupling Method by : Torgny Lindvall

Download or read book Lectures on the Coupling Method written by Torgny Lindvall and published by Courier Corporation. This book was released on 2012-08-15 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical and easy-to-use reference progresses from simple to advanced topics, covering, among other topics, renewal theory, Markov chains, Poisson approximation, ergodicity, and Strassen's theorem. 1992 edition.

Highly Structured Stochastic Systems

Author : Peter J. Green
Publisher :
ISBN 13 : 9780198510550
Total Pages : 536 pages
Book Rating : 4.5/5 (15 download)

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Book Synopsis Highly Structured Stochastic Systems by : Peter J. Green

Download or read book Highly Structured Stochastic Systems written by Peter J. Green and published by . This book was released on 2003 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through this text, the author aims to make recent developments in the title subject (a modern strategy for the creation of statistical models to solve 'real world' problems) accessible to graduate students and researchers in the field of statistics.

Markov Chains

Author : Randal Douc
Publisher : Springer
ISBN 13 : 3319977040
Total Pages : 758 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Markov Chains by : Randal Douc

Download or read book Markov Chains written by Randal Douc and published by Springer. This book was released on 2018-12-11 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the classical theory of Markov chains on general state-spaces as well as many recent developments. The theoretical results are illustrated by simple examples, many of which are taken from Markov Chain Monte Carlo methods. The book is self-contained, while all the results are carefully and concisely proven. Bibliographical notes are added at the end of each chapter to provide an overview of the literature. Part I lays the foundations of the theory of Markov chain on general states-space. Part II covers the basic theory of irreducible Markov chains on general states-space, relying heavily on regeneration techniques. These two parts can serve as a text on general state-space applied Markov chain theory. Although the choice of topics is quite different from what is usually covered, where most of the emphasis is put on countable state space, a graduate student should be able to read almost all these developments without any mathematical background deeper than that needed to study countable state space (very little measure theory is required). Part III covers advanced topics on the theory of irreducible Markov chains. The emphasis is on geometric and subgeometric convergence rates and also on computable bounds. Some results appeared for a first time in a book and others are original. Part IV are selected topics on Markov chains, covering mostly hot recent developments.

Markov Chains and Stochastic Stability

Author : Sean Meyn
Publisher : Cambridge University Press
ISBN 13 : 1139477978
Total Pages : 595 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Markov Chains and Stochastic Stability by : Sean Meyn

Download or read book Markov Chains and Stochastic Stability written by Sean Meyn and published by Cambridge University Press. This book was released on 2009-04-02 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meyn and Tweedie is back! The bible on Markov chains in general state spaces has been brought up to date to reflect developments in the field since 1996 - many of them sparked by publication of the first edition. The pursuit of more efficient simulation algorithms for complex Markovian models, or algorithms for computation of optimal policies for controlled Markov models, has opened new directions for research on Markov chains. As a result, new applications have emerged across a wide range of topics including optimisation, statistics, and economics. New commentary and an epilogue by Sean Meyn summarise recent developments and references have been fully updated. This second edition reflects the same discipline and style that marked out the original and helped it to become a classic: proofs are rigorous and concise, the range of applications is broad and knowledgeable, and key ideas are accessible to practitioners with limited mathematical background.

Monte Carlo Statistical Methods

Author : Christian Robert
Publisher : Springer Science & Business Media
ISBN 13 : 1475730713
Total Pages : 522 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Monte Carlo Statistical Methods by : Christian Robert

Download or read book Monte Carlo Statistical Methods written by Christian Robert and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have sold 4300 copies worldwide of the first edition (1999). This new edition contains five completely new chapters covering new developments.

Markov Chains and Stochastic Stability

Author : Sean P. Meyn
Publisher : Springer Science & Business Media
ISBN 13 : 144713267X
Total Pages : 559 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Markov Chains and Stochastic Stability by : Sean P. Meyn

Download or read book Markov Chains and Stochastic Stability written by Sean P. Meyn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov Chains and Stochastic Stability is part of the Communications and Control Engineering Series (CCES) edited by Professors B.W. Dickinson, E.D. Sontag, M. Thoma, A. Fettweis, J.L. Massey and J.W. Modestino. The area of Markov chain theory and application has matured over the past 20 years into something more accessible and complete. It is of increasing interest and importance. This publication deals with the action of Markov chains on general state spaces. It discusses the theories and the use to be gained, concentrating on the areas of engineering, operations research and control theory. Throughout, the theme of stochastic stability and the search for practical methods of verifying such stability, provide a new and powerful technique. This does not only affect applications but also the development of the theory itself. The impact of the theory on specific models is discussed in detail, in order to provide examples as well as to demonstrate the importance of these models. Markov Chains and Stochastic Stability can be used as a textbook on applied Markov chain theory, provided that one concentrates on the main aspects only. It is also of benefit to graduate students with a standard background in countable space stochastic models. Finally, the book can serve as a research resource and active tool for practitioners.

Issues in Statistics, Decision Making, and Stochastics: 2013 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1490108203
Total Pages : 322 pages
Book Rating : 4.4/5 (91 download)

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Download or read book Issues in Statistics, Decision Making, and Stochastics: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Statistics, Decision Making, and Stochastics: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Regular and Chaotic Dynamics. The editors have built Issues in Statistics, Decision Making, and Stochastics: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Regular and Chaotic Dynamics in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Statistics, Decision Making, and Stochastics: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.