Download or read book Strong Approximations in Probability and Statistics written by M. Csörgo and published by Academic Press. This book was released on 2014-07-10 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strong Approximations in Probability and Statistics presents strong invariance type results for partial sums and empirical processes of independent and identically distributed random variables (IIDRV). This seven-chapter text emphasizes the applicability of strong approximation methodology to a variety of problems of probability and statistics. Chapter 1 evaluates the theorems for Wiener and Gaussian processes that can be extended to partial sums and empirical processes of IIDRV through strong approximation methods, while Chapter 2 addresses the problem of best possible strong approximations of partial sums of IIDRV by a Wiener process. Chapters 3 and 4 contain theorems concerning the one-time parameter Wiener process and strong approximation for the empirical and quantile processes based on IIDRV. Chapter 5 demonstrate the validity of previously discussed theorems, including Brownian bridges and Kiefer process, for empirical and quantile processes. Chapter 6 illustrate the approximation of defined sequences of empirical density, regression, and characteristic functions by appropriate Gaussian processes. Chapter 7 deal with the application of strong approximation methodology to study weak and strong convergence properties of random size partial sum and empirical processes. This book will prove useful to mathematicians and advance mathematics students.
Download or read book Strong Approximations in Probability and Statistics written by M. Csörgö and published by . This book was released on 1981 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Weighted Approximations in Probability and Statistics written by Miklós Csörgö and published by Wiley. This book was released on 1993-04-27 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores probability and statistics from the ``Hungarian construction'' viewpoint. Concentrates on renewal and related processes, on weighted approximations of empirical and quantile processes and on the asymptotic distributions of functionals of these weighted processes. Also covers strong approximations of partial sums of independent identically distributed random variables and general quantile processes and their approximations in detail. Includes appendix and references.
Download or read book Strong approximation in probability and statistics written by Miklos Csörgö and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Neues Buch Befindet sich noch in der Ausstellung written by Miklos Csörgö and published by . This book was released on 1991 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Weighted Approximations in Probability and Statistics written by Miklos Csorgo and published by . This book was released on with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Approximation Problems in Analysis and Probability written by M.P. Heble and published by Elsevier. This book was released on 2011-08-18 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an exposition of some special results on analytic or C∞-approximation of functions in the strong sense, in finite- and infinite-dimensional spaces. It starts with H. Whitney's theorem on strong approximation by analytic functions in finite-dimensional spaces and ends with some recent results by the author on strong C∞-approximation of functions defined in a separable Hilbert space. The volume also contains some special results on approximation of stochastic processes. The results explained in the book have been obtained over a span of nearly five decades.
Download or read book Approximation Theorems of Mathematical Statistics written by R. J. Serfling and published by . This book was released on 1980 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Probability Approximations and Beyond written by Andrew Barbour and published by Springer Science & Business Media. This book was released on 2011-12-07 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: In June 2010, a conference, Probability Approximations and Beyond, was held at the National University of Singapore (NUS), in honor of pioneering mathematician Louis Chen. Chen made the first of several seminal contributions to the theory and application of Stein’s method. One of his most important contributions has been to turn Stein’s concentration inequality idea into an effective tool for providing error bounds for the normal approximation in many settings, and in particular for sums of random variables exhibiting only local dependence. This conference attracted a large audience that came to pay homage to Chen and to hear presentations by colleagues who have worked with him in special ways over the past 40+ years. The papers in this volume attest to how Louis Chen’s cutting-edge ideas influenced and continue to influence such areas as molecular biology and computer science. He has developed applications of his work on Poisson approximation to problems of signal detection in computational biology. The original papers contained in this book provide historical context for Chen’s work alongside commentary on some of his major contributions by noteworthy statisticians and mathematicians working today.
Download or read book Approximation Theorems of Mathematical Statistics written by Robert J. Serfling and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation Theorems of Mathematical Statistics This convenient paperback edition makes a seminal text in statistics accessible to a new generation of students and practitioners. Approximation Theorems of Mathematical Statistics covers a broad range of limit theorems useful in mathematical statistics, along with methods of proof and techniques of application. The manipulation of "probability" theorems to obtain "statistical" theorems is emphasized. Besides a knowledge of these basic statistical theorems, this lucid introduction to the subject imparts an appreciation of the instrumental role of probability theory. The book makes accessible to students and practicing professionals in statistics, general mathematics, operations research, and engineering the essentials of: * The tools and foundations that are basic to asymptotic theory in statistics * The asymptotics of statistics computed from a sample, including transformations of vectors of more basic statistics, with emphasis on asymptotic distribution theory and strong convergence * Important special classes of statistics, such as maximum likelihood estimates and other asymptotic efficient procedures; W. Hoeffding's U-statistics and R. von Mises's "differentiable statistical functions" * Statistics obtained as solutions of equations ("M-estimates"), linear functions of order statistics ("L-statistics"), and rank statistics ("R-statistics") * Use of influence curves * Approaches toward asymptotic relative efficiency of statistical test procedures
Download or read book Strong Approximations for Multiparameter Martingales written by Dabrowski, André Robert and published by Carleton University, Laboratory for Research in Statistics and Probability = Laboratoire de recherche en statistique et probabilités, Carleton University. This book was released on 1994 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Approximation Probability and Related Fields written by George A. Anastassiou and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a conference held in Santa Barbara, California, May 20-22, 1993
Download or read book Approximation Theorems of Mathematical Statistics written by Robert J. Serfling and published by Wiley-Interscience. This book was released on 1980-12-08 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation Theorems of Mathematical Statistics This convenient paperback edition makes a seminal text in statistics accessible to a new generation of students and practitioners. Approximation Theorems of Mathematical Statistics covers a broad range of limit theorems useful in mathematical statistics, along with methods of proof and techniques of application. The manipulation of "probability" theorems to obtain "statistical" theorems is emphasized. Besides a knowledge of these basic statistical theorems, this lucid introduction to the subject imparts an appreciation of the instrumental role of probability theory. The book makes accessible to students and practicing professionals in statistics, general mathematics, operations research, and engineering the essentials of: * The tools and foundations that are basic to asymptotic theory in statistics * The asymptotics of statistics computed from a sample, including transformations of vectors of more basic statistics, with emphasis on asymptotic distribution theory and strong convergence * Important special classes of statistics, such as maximum likelihood estimates and other asymptotic efficient procedures; W. Hoeffding's U-statistics and R. von Mises's "differentiable statistical functions" * Statistics obtained as solutions of equations ("M-estimates"), linear functions of order statistics ("L-statistics"), and rank statistics ("R-statistics") * Use of influence curves * Approaches toward asymptotic relative efficiency of statistical test procedures
Download or read book High Dimensional Probability II written by Evarist Giné and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: High dimensional probability, in the sense that encompasses the topics rep resented in this volume, began about thirty years ago with research in two related areas: limit theorems for sums of independent Banach space valued random vectors and general Gaussian processes. An important feature in these past research studies has been the fact that they highlighted the es sential probabilistic nature of the problems considered. In part, this was because, by working on a general Banach space, one had to discard the extra, and often extraneous, structure imposed by random variables taking values in a Euclidean space, or by processes being indexed by sets in R or Rd. Doing this led to striking advances, particularly in Gaussian process theory. It also led to the creation or introduction of powerful new tools, such as randomization, decoupling, moment and exponential inequalities, chaining, isoperimetry and concentration of measure, which apply to areas well beyond those for which they were created. The general theory of em pirical processes, with its vast applications in statistics, the study of local times of Markov processes, certain problems in harmonic analysis, and the general theory of stochastic processes are just several of the broad areas in which Gaussian process techniques and techniques from probability in Banach spaces have made a substantial impact. Parallel to this work on probability in Banach spaces, classical proba bility and empirical process theory were enriched by the development of powerful results in strong approximations.
Download or read book Three Papers on Partial Sum and Renewal Strong Approximations written by M. (Miklós) Csörg̋o and published by Laboratory for Research in Statistics and Probability, Carleton University = Laboratoire de recherche en statistique et probabilités, Carleton University. This book was released on 1985 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Probability Theory and Mathematical Statistics written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Probability Theory and Mathematical Statistics".
