Almost Sure Invariance Principles For Partial Sums Of Weakly Dependent Random Variables

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Almost Sure Invariance Principles for Partial Sums of Weakly Dependent Random Variables

Author : Walter Philipp
Publisher : American Mathematical Soc.
ISBN 13 : 0821818619
Total Pages : 146 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Almost Sure Invariance Principles for Partial Sums of Weakly Dependent Random Variables by : Walter Philipp

Download or read book Almost Sure Invariance Principles for Partial Sums of Weakly Dependent Random Variables written by Walter Philipp and published by American Mathematical Soc.. This book was released on 1975 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A strong revival of interest in the law of the iterated logarithm and related asymptotic fluctuation results has occurred in the last decade, stimulated by two remarkable papers by Volker Strassen. In these papers, Strassen introduces a new method for establishing such fluctuation results for sums of independent random variables and for martingales. Strassen's almost sure invariance principle for martingales states that each martingale satisfying a certain second moment condition is with probability on "close" to a Brownian motion. In this monograph we investigate the asymptotic fluctuation behavior of sums of weakly dependent random variables, such as lacunary trigonometric mixing, and Gaussian sequences.

Almost Sure Invariance Principles for Partial Sums of Weakly Dependent Random Variables

Author : Leslie Cohn
Publisher :
ISBN 13 : 9780821818589
Total Pages : 96 pages
Book Rating : 4.8/5 (185 download)

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Book Synopsis Almost Sure Invariance Principles for Partial Sums of Weakly Dependent Random Variables by : Leslie Cohn

Download or read book Almost Sure Invariance Principles for Partial Sums of Weakly Dependent Random Variables written by Leslie Cohn and published by . This book was released on 1975 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Almost Sure Invariance Principles for Partial Sums of Weekly Dependent Random Variables

Author : American Mathematical Society
Publisher :
ISBN 13 : 9780821818619
Total Pages : 151 pages
Book Rating : 4.8/5 (186 download)

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Book Synopsis Almost Sure Invariance Principles for Partial Sums of Weekly Dependent Random Variables by : American Mathematical Society

Download or read book Almost Sure Invariance Principles for Partial Sums of Weekly Dependent Random Variables written by American Mathematical Society and published by . This book was released on 1975 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Almost Sure Invariance Principales for Partial Sums of Weakly Dependent Random Variables

Author : Walter Philipp
Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.:/5 (64 download)

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Book Synopsis Almost Sure Invariance Principales for Partial Sums of Weakly Dependent Random Variables by : Walter Philipp

Download or read book Almost Sure Invariance Principales for Partial Sums of Weakly Dependent Random Variables written by Walter Philipp and published by . This book was released on 1975 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Almost Sure Invariance Priciples for Partial Sums of Weak Dependent Random Variables

Author : Walter Philipp
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (63 download)

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Book Synopsis Almost Sure Invariance Priciples for Partial Sums of Weak Dependent Random Variables by : Walter Philipp

Download or read book Almost Sure Invariance Priciples for Partial Sums of Weak Dependent Random Variables written by Walter Philipp and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Maximum of Partial Sums and an Invariance Principle for a Class of Weakly Dependent Random Variables

Author : Magda Peligrad
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (186 download)

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Book Synopsis Maximum of Partial Sums and an Invariance Principle for a Class of Weakly Dependent Random Variables by : Magda Peligrad

Download or read book Maximum of Partial Sums and an Invariance Principle for a Class of Weakly Dependent Random Variables written by Magda Peligrad and published by . This book was released on 1995 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Invariance Principle for Lattices of Dependent Random Variables and Certain Rates of Convergence

Author : Joel Zinn
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis An Invariance Principle for Lattices of Dependent Random Variables and Certain Rates of Convergence by : Joel Zinn

Download or read book An Invariance Principle for Lattices of Dependent Random Variables and Certain Rates of Convergence written by Joel Zinn and published by . This book was released on 1972 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Invariance Principles for Random Processes Generated by Extrema and Partial Sums of Random Variables

Author : Andre Robert Dabrowski
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (984 download)

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Book Synopsis Invariance Principles for Random Processes Generated by Extrema and Partial Sums of Random Variables by : Andre Robert Dabrowski

Download or read book Invariance Principles for Random Processes Generated by Extrema and Partial Sums of Random Variables written by Andre Robert Dabrowski and published by . This book was released on 1982 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Limit Theory for Mixing Dependent Random Variables

Author : Lin Zhengyan
Publisher : Springer Science & Business Media
ISBN 13 : 9780792342199
Total Pages : 452 pages
Book Rating : 4.3/5 (421 download)

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Book Synopsis Limit Theory for Mixing Dependent Random Variables by : Lin Zhengyan

Download or read book Limit Theory for Mixing Dependent Random Variables written by Lin Zhengyan and published by Springer Science & Business Media. This book was released on 1997-07-31 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many practical problems, observations are not independent. In this book, limit behaviour of an important kind of dependent random variables, the so-called mixing random variables, is studied. Many profound results are given, which cover recent developments in this subject, such as basic properties of mixing variables, powerful probability and moment inequalities, weak convergence and strong convergence (approximation), limit behaviour of some statistics with a mixing sample, and many useful tools are provided. Audience: This volume will be of interest to researchers and graduate students in the field of probability and statistics, whose work involves dependent data (variables).

Limit Theorems for Associated Random Fields and Related Systems

Author : Aleksandr Vadimovich Bulinskii
Publisher : World Scientific
ISBN 13 : 981270941X
Total Pages : 447 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Limit Theorems for Associated Random Fields and Related Systems by : Aleksandr Vadimovich Bulinskii

Download or read book Limit Theorems for Associated Random Fields and Related Systems written by Aleksandr Vadimovich Bulinskii and published by World Scientific. This book was released on 2007 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the study of asymptotic properties of wide classes of stochastic systems arising in mathematical statistics, percolation theory, statistical physics and reliability theory. Attention is paid not only to positive and negative associations introduced in the pioneering papers by Harris, Lehmann, Esary, Proschan, Walkup, Fortuin, Kasteleyn and Ginibre, but also to new and more general dependence conditions. Naturally, this scope comprises families of independent real-valued random variables. A variety of important results and examples of Markov processes, random measures, stable distributions, Ising ferromagnets, interacting particle systems, stochastic differential equations, random graphs and other models are provided. For such random systems, it is worthwhile to establish principal limit theorems of the modern probability theory (central limit theorem for random fields, weak and strong invariance principles, functional law of the iterated logarithm etc.) and discuss their applications. There are 434 items in the bibliography. The book is self-contained, provides detailed proofs, for reader's convenience some auxiliary results are included in the Appendix (e.g. the classical Hoeffding lemma, basic electric current theory etc.). Contents: Random Systems with Covariance Inequalities; Moment and Maximal Inequalities; Central Limit Theorem; Almost Sure Convergence; Invariance Principles; Law of the Iterated Logarithm; Statistical Applications; Integral Functionals. Readership: Researchers in modern probability and statistics, graduate students and academic staff of the universities.

Almost Sure Approximation of Sums of Weakly Dependent Lattice-indexed Random Variables by Brownian Sheets

Author : Gregory John Morrow
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.:/5 (634 download)

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Book Synopsis Almost Sure Approximation of Sums of Weakly Dependent Lattice-indexed Random Variables by Brownian Sheets by : Gregory John Morrow

Download or read book Almost Sure Approximation of Sums of Weakly Dependent Lattice-indexed Random Variables by Brownian Sheets written by Gregory John Morrow and published by . This book was released on 1979 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Invariance principles for dependent random variables

Author : Magda Peligrad
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (632 download)

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Book Synopsis Invariance principles for dependent random variables by : Magda Peligrad

Download or read book Invariance principles for dependent random variables written by Magda Peligrad and published by . This book was released on 1980 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability Theory and Its Applications in China

Author : Shijian Yan
Publisher : American Mathematical Soc.
ISBN 13 : 0821851268
Total Pages : 352 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Probability Theory and Its Applications in China by : Shijian Yan

Download or read book Probability Theory and Its Applications in China written by Shijian Yan and published by American Mathematical Soc.. This book was released on 1991 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory has always been an active field of research in China, but, until recently, almost all of this research was written in Chinese. This book contains surveys by some of China's leading probabilists, with a fairly complete coverage of theoretical probability and selective coverage of applied topics. The purpose of the book is to provide an account of the most significant results in probability obtained in China in the past few decades and to promote communication between probabilists in China and those in other countries. This collection will be of interest to graduate students and researchers in mathematics and probability theory, as well as to researchers in such areas as physics, engineering, biochemistry, and information science. Among the topics covered here are: stochastic analysis, stochastic differential equations, Dirichlet forms, Brownian motion and diffusion, potential theory, geometry of manifolds, semi-martingales, jump Markov processes, interacting particle systems, entropy production of Markov processes, renewal sequences and p-functions, multi-parameter stochastic processes, stationary random fields, limit theorems, strong approximations, large deviations, stochastic control systems, and probability problems in information theory.

Differential Equations and Dynamical Systems

Author : Abdulla Azamov
Publisher : Springer
ISBN 13 : 3030014762
Total Pages : 195 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Differential Equations and Dynamical Systems by : Abdulla Azamov

Download or read book Differential Equations and Dynamical Systems written by Abdulla Azamov and published by Springer. This book was released on 2018-10-20 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features papers presented during a special session on dynamical systems, mathematical physics, and partial differential equations. Research articles are devoted to broad complex systems and models such as qualitative theory of dynamical systems, theory of games, circle diffeomorphisms, piecewise smooth circle maps, nonlinear parabolic systems, quadtratic dynamical systems, billiards, and intermittent maps. Focusing on a variety of topics from dynamical properties to stochastic properties of dynamical systems, this volume includes discussion on discrete-numerical tracking, conjugation between two critical circle maps, invariance principles, and the central limit theorem. Applications to game theory and networks are also included. Graduate students and researchers interested in complex systems, differential equations, dynamical systems, functional analysis, and mathematical physics will find this book useful for their studies. The special session was part of the second USA-Uzbekistan Conference on Analysis and Mathematical Physics held on August 8-12, 2017 at Urgench State University (Uzbekistan). The conference encouraged communication and future collaboration among U.S. mathematicians and their counterparts in Uzbekistan and other countries. Main themes included algebra and functional analysis, dynamical systems, mathematical physics and partial differential equations, probability theory and mathematical statistics, and pluripotential theory. A number of significant, recently established results were disseminated at the conference’s scheduled plenary talks, while invited talks presented a broad spectrum of findings in several sessions. Based on a different session from the conference, Algebra, Complex Analysis, and Pluripotential Theory is also published in the Springer Proceedings in Mathematics & Statistics Series.

Stability Results and Strong Invariance Principles for Partial Sums of Banach Space Valued Random Variables

Author : Uwe Einmahl
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (256 download)

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Book Synopsis Stability Results and Strong Invariance Principles for Partial Sums of Banach Space Valued Random Variables by : Uwe Einmahl

Download or read book Stability Results and Strong Invariance Principles for Partial Sums of Banach Space Valued Random Variables written by Uwe Einmahl and published by . This book was released on 1987 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Invariance Principle for Dependent Random Variables.

Author : Patrick Paul Billingsley
Publisher : Hassell Street Press
ISBN 13 : 9781015029064
Total Pages : 208 pages
Book Rating : 4.0/5 (29 download)

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Book Synopsis The Invariance Principle for Dependent Random Variables. by : Patrick Paul Billingsley

Download or read book The Invariance Principle for Dependent Random Variables. written by Patrick Paul Billingsley and published by Hassell Street Press. This book was released on 2021-09-10 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Asymptotic Theory of Statistics and Probability

Author : Anirban DasGupta
Publisher : Springer Science & Business Media
ISBN 13 : 0387759719
Total Pages : 727 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Asymptotic Theory of Statistics and Probability by : Anirban DasGupta

Download or read book Asymptotic Theory of Statistics and Probability written by Anirban DasGupta and published by Springer Science & Business Media. This book was released on 2008-02-06 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book delivers an encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools. The book is unique in its detailed coverage of fundamental topics. It is written in an extremely lucid style, with an emphasis on the conceptual discussion of the importance of a problem and the impact and relevance of the theorems. There is no other book in large sample theory that matches this book in coverage, exercises and examples, bibliography, and lucid conceptual discussion of issues and theorems.