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On The Convergence Rate In The Central Limit Theorem For Associated Processes
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Book Synopsis On the convergence rate in the central limit theorem for associated processes by : T. Birkel
Download or read book On the convergence rate in the central limit theorem for associated processes written by T. Birkel and published by . This book was released on 1987 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Limit Theorems for Associated Random Fields and Related Systems by : Aleksandr Vadimovich Bulinski?
Download or read book Limit Theorems for Associated Random Fields and Related Systems written by Aleksandr Vadimovich Bulinski? 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.).
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 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Paulo Eduardo Oliveira Publisher :Springer Science & Business Media ISBN 13 :3642255329 Total Pages :198 pages Book Rating :4.6/5 (422 download)
Book Synopsis Asymptotics for Associated Random Variables by : Paulo Eduardo Oliveira
Download or read book Asymptotics for Associated Random Variables written by Paulo Eduardo Oliveira and published by Springer Science & Business Media. This book was released on 2012-01-11 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book concerns the notion of association in probability and statistics. Association and some other positive dependence notions were introduced in 1966 and 1967 but received little attention from the probabilistic and statistics community. The interest in these dependence notions increased in the last 15 to 20 years, and many asymptotic results were proved and improved. Despite this increased interest, characterizations and results remained essentially scattered in the literature published in different journals. The goal of this book is to bring together the bulk of these results, presenting the theory in a unified way, explaining relations and implications of the results. It will present basic definitions and characterizations, followed by a collection of relevant inequalities. These are then applied to characterize almost sure and weak convergence of sequences of associated variables. It will also cover applications of positive dependence to the characterization of asymptotic results in nonparametric statistics. The book is directed towards researchers in probability and statistics, with particular emphasis on people interested in nonparametric methods. It will also be of interest to graduate students in those areas. The book could also be used as a reference on association in a course covering dependent variables and their asymptotics. As prerequisite, readers should have knowledge of basic probability on the reals and on metric spaces. Some acquaintance with the asymptotics of random functions, such us empirical processes and partial sums processes, is useful but not essential.
Book Synopsis Asymptotic Methods in Probability and Statistics by : B. Szyszkowicz
Download or read book Asymptotic Methods in Probability and Statistics written by B. Szyszkowicz and published by Elsevier. This book was released on 1998-10-29 with total page 925 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the aims of the conference on which this book is based, was to provide a platform for the exchange of recent findings and new ideas inspired by the so-called Hungarian construction and other approximate methodologies. This volume of 55 papers is dedicated to Miklós Csörgő a co-founder of the Hungarian construction school by the invited speakers and contributors to ICAMPS'97.This excellent treatize reflects the many developments in this field, while pointing to new directions to be explored. An unequalled contribution to research in probability and statistics.
Book Synopsis Stochastic Processes: Theory and Methods by : D N Shanbhag
Download or read book Stochastic Processes: Theory and Methods written by D N Shanbhag and published by Gulf Professional Publishing. This book was released on 2001 with total page 990 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the series contains chapters on areas such as pareto processes, branching processes, inference in stochastic processes, Poisson approximation, Levy processes, and iterated random maps and some classes of Markov processes. Other chapters cover random walk and fluctuation theory, a semigroup representation and asymptomatic behavior of certain statistics of the Fisher-Wright-Moran coalescent, continuous-time ARMA processes, record sequence and their applications, stochastic networks with product form equilibrium, and stochastic processes in insurance and finance. Other subjects include renewal theory, stochastic processes in reliability, supports of stochastic processes of multiplicity one, Markov chains, diffusion processes, and Ito's stochastic calculus and its applications. c. Book News Inc.
Book Synopsis Associated Sequences, Demimartingales and Nonparametric Inference by : B.L.S. Prakasa Rao
Download or read book Associated Sequences, Demimartingales and Nonparametric Inference written by B.L.S. Prakasa Rao and published by Springer Science & Business Media. This book was released on 2011-11-04 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive review of results for associated sequences and demimartingales developed so far, with special emphasis on demimartingales and related processes. Probabilistic properties of associated sequences, demimartingales and related processes are discussed in the first six chapters. Applications of some of these results to some problems in nonparametric statistical inference for such processes are investigated in the last three chapters.
Book Synopsis Convergence Rates for Central Limit Theorem and a Related Problem by : Harry Cohen
Download or read book Convergence Rates for Central Limit Theorem and a Related Problem written by Harry Cohen and published by . This book was released on 1972 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Uniform Central Limit Theorems by : R. M. Dudley
Download or read book Uniform Central Limit Theorems written by R. M. Dudley and published by Cambridge University Press. This book was released on 2014-02-24 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Probability Theory and Mathematical Statistics by : Ibragimoc
Download or read book Probability Theory and Mathematical Statistics written by Ibragimoc and published by CRC Press. This book was released on 1996-09-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.
Book Synopsis Advances in Data Analysis by : Christos H. Skiadas
Download or read book Advances in Data Analysis written by Christos H. Skiadas and published by Springer Science & Business Media. This book was released on 2009-11-25 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified volume is a collection of invited chapters presenting recent developments in the field of data analysis, with applications to reliability and inference, data mining, bioinformatics, lifetime data, and neural networks. The book is a useful reference for graduate students, researchers, and practitioners in statistics, mathematics, engineering, economics, social science, bioengineering, and bioscience.
Book Synopsis Stochastic Orders and Applications by : Karl Mosler
Download or read book Stochastic Orders and Applications written by Karl Mosler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bibliography on stochastic orderings. Was there a real need for it? In a time of reference databases as the MathSci or the Science Citation Index or the Social Science Citation Index the answer seems to be negative. The reason we think that this bibliog raphy might be of some use stems from the frustration that we, as workers in the field, have often experienced by finding similar results being discovered and proved over and over in different journals of different disciplines with different levels of mathematical so phistication and accuracy and most of the times without cross references. Of course it would be very unfair to blame an economist, say, for not knowing a result in mathematical physics, or vice versa, especially when the problems and the languages are so far apart that it is often difficult to recognize the analogies even after further scrutiny. We hope that collecting the references on this topic, regardless of the area of application, will be of some help, at least to pinpoint the problem. We use the term stochastic ordering in a broad sense to denote any ordering relation on a space of probability measures. Questions that can be related to the idea of stochastic orderings are as old as probability itself. Think for instance of the problem of comparing two gambles in order to decide which one is more favorable.
Book Synopsis Stability Problems for Stochastic Models by : V.M. Zolotarev
Download or read book Stability Problems for Stochastic Models written by V.M. Zolotarev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Stability Problems for Stochastic Models".
Book Synopsis On Convergence Rates in the Central Limit Theorem by : Ellen Shapiro Hertz
Download or read book On Convergence Rates in the Central Limit Theorem written by Ellen Shapiro Hertz and published by . This book was released on 1970 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Central Limit Theorems for Space-time Point Processes by : Xin Qi
Download or read book The Central Limit Theorems for Space-time Point Processes written by Xin Qi and published by . This book was released on 2007 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotics, Nonparametrics, and Time Series by : Subir Ghosh
Download or read book Asymptotics, Nonparametrics, and Time Series written by Subir Ghosh and published by CRC Press. This book was released on 1999-02-18 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Contains over 2500 equations and exhaustively covers not only nonparametrics but also parametric, semiparametric, frequentist, Bayesian, bootstrap, adaptive, univariate, and multivariate statistical methods, as well as practical uses of Markov chain models."
Book Synopsis Martingale Limit Theory and Its Application by : P. Hall
Download or read book Martingale Limit Theory and Its Application written by P. Hall and published by Academic Press. This book was released on 2014-07-10 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Martingale Limit Theory and Its Application discusses the asymptotic properties of martingales, particularly as regards key prototype of probabilistic behavior that has wide applications. The book explains the thesis that martingale theory is central to probability theory, and also examines the relationships between martingales and processes embeddable in or approximated by Brownian motion. The text reviews the martingale convergence theorem, the classical limit theory and analogs, and the martingale limit theorems viewed as the rate of convergence results in the martingale convergence theorem. The book explains the square function inequalities, weak law of large numbers, as well as the strong law of large numbers. The text discusses the reverse martingales, martingale tail sums, the invariance principles in the central limit theorem, and also the law of the iterated logarithm. The book investigates the limit theory for stationary processes via corresponding results for approximating martingales and the estimation of parameters from stochastic processes. The text can be profitably used as a reference for mathematicians, advanced students, and professors of higher mathematics or statistics.