Qualitative Effects in the Estimates of the Convergence Rate in the Central Limit Theorem in Multidimensional Spaces

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ISBN 13 :
Total Pages : 246 pages
Book Rating : 4.F/5 ( download)

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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.

Normal Approximation

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Publisher : Walter de Gruyter
ISBN 13 : 3110933667
Total Pages : 377 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Normal Approximation by : Vladimir V. Senatov

Download or read book Normal Approximation written by Vladimir V. Senatov and published by Walter de Gruyter. This book was released on 2011-09-08 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.

Mathematical Reviews

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ISBN 13 :
Total Pages : 1164 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kybernetika

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ISBN 13 :
Total Pages : 878 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Kybernetika by :

Download or read book Kybernetika written by and published by . This book was released on 2005 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An improved non-uniform convergence rate estimate in the central limit theorem in Rk

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Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (221 download)

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Book Synopsis An improved non-uniform convergence rate estimate in the central limit theorem in Rk by :

Download or read book An improved non-uniform convergence rate estimate in the central limit theorem in Rk written by and published by . This book was released on 1991 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Convergence Rates in the Central Limit Theorem for Multidimensionally Indexed Random Variables

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Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (897 download)

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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:

Rates of Convergence in the Central-limit Theorem for Dependent-variables

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Publisher :
ISBN 13 :
Total Pages : 101 pages
Book Rating : 4.:/5 (245 download)

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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:

Convergence Rates for Central Limit Theorem and a Related Problem

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Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Convergence Rates for Central Limit Theorem and a Related Problem by : Harry Cohn

Download or read book Convergence Rates for Central Limit Theorem and a Related Problem written by Harry Cohn and published by . This book was released on 1972 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Rate of Convergence in a Central Limit Theorem for Dependent Random Variables with Arbitrary Index Set

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Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (123 download)

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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:

Convolution Metrics and Rates of Convergence in the CLT (Central Limit Theorem).

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ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Convolution Metrics and Rates of Convergence in the CLT (Central Limit Theorem). by : S. T. Rachev

Download or read book Convolution Metrics and Rates of Convergence in the CLT (Central Limit Theorem). written by S. T. Rachev and published by . This book was released on 1987 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let (B,) be a complete separable Banach space and let X=X (B) be the vector space of all random variables defined on a probability space (Omega, A, P) and taking values in B. It is known that metrics on X of convolution type enjoy a variety of interesting properties. In this article it is shown that convolution metrics may also by used to obtain rates of convergence in CLT's involving a stable limit law. The rates are expressed in terms of a variety of uniform metrics on X and include the total variation metric and the uniform metrics between density and characteristic functions. The results represent both an improvement and an extension of existing results. Week convergence properties of convolution metrics are also explored. Keywords: Ideal probability metrics; Convolution metrics; Rate of convergence; Stable random variables.

Current Index to Statistics, Applications, Methods and Theory

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Publisher :
ISBN 13 :
Total Pages : 812 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Current Index to Statistics, Applications, Methods and Theory by :

Download or read book Current Index to Statistics, Applications, Methods and Theory written by and published by . This book was released on 1997 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.

Uniform Rates of Convergence in the CLT for Quadratic Forms in Multidimensional Spaces

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Publisher :
ISBN 13 :
Total Pages : 55 pages
Book Rating : 4.:/5 (759 download)

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Book Synopsis Uniform Rates of Convergence in the CLT for Quadratic Forms in Multidimensional Spaces by : Vidmantas Bentkus

Download or read book Uniform Rates of Convergence in the CLT for Quadratic Forms in Multidimensional Spaces written by Vidmantas Bentkus and published by . This book was released on 1996 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A History of the Central Limit Theorem

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Publisher : Springer Science & Business Media
ISBN 13 : 0387878572
Total Pages : 415 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis A History of the Central Limit Theorem by : Hans Fischer

Download or read book A History of the Central Limit Theorem written by Hans Fischer and published by Springer Science & Business Media. This book was released on 2010-10-08 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications. Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.

On Some Lp Bounds of Convergence Rates in the Central Limit Theorem

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ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (46 download)

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Book Synopsis On Some Lp Bounds of Convergence Rates in the Central Limit Theorem by : Ibrahim A. Ahmad

Download or read book On Some Lp Bounds of Convergence Rates in the Central Limit Theorem written by Ibrahim A. Ahmad and published by . This book was released on 1979 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lipschitz Smoothness and Convergence with Applications to the Central Limit Theorem for Summation Processes

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Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.:/5 (67 download)

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Book Synopsis Lipschitz Smoothness and Convergence with Applications to the Central Limit Theorem for Summation Processes by : R. V. Erickson

Download or read book Lipschitz Smoothness and Convergence with Applications to the Central Limit Theorem for Summation Processes written by R. V. Erickson and published by . This book was released on 1979 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability and Statistics

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Publisher : Macmillan
ISBN 13 : 9780716747420
Total Pages : 704 pages
Book Rating : 4.7/5 (474 download)

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Book Synopsis Probability and Statistics by : Michael J. Evans

Download or read book Probability and Statistics written by Michael J. Evans and published by Macmillan. This book was released on 2004 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor based on incorporating the computer to the course and an integrated approach to inference. From the start the book integrates simulations into its theoretical coverage, and emphasizes the use of computer-powered computation throughout.* Math and science majors with just one year of calculus can use this text and experience a refreshing blend of applications and theory that goes beyond merely mastering the technicalities. They'll get a thorough grounding in probability theory, and go beyond that to the theory of statistical inference and its applications. An integrated approach to inference is presented that includes the frequency approach as well as Bayesian methodology. Bayesian inference is developed as a logical extension of likelihood methods. A separate chapter is devoted to the important topic of model checking and this is applied in the context of the standard applied statistical techniques. Examples of data analyses using real-world data are presented throughout the text. A final chapter introduces a number of the most important stochastic process models using elementary methods. *Note: An appendix in the book contains Minitab code for more involved computations. The code can be used by students as templates for their own calculations. If a software package like Minitab is used with the course then no programming is required by the students.

The Fundamentals of Heavy Tails

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Publisher : Cambridge University Press
ISBN 13 : 1009062964
Total Pages : 266 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis The Fundamentals of Heavy Tails by : Jayakrishnan Nair

Download or read book The Fundamentals of Heavy Tails written by Jayakrishnan Nair and published by Cambridge University Press. This book was released on 2022-06-09 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heavy tails –extreme events or values more common than expected –emerge everywhere: the economy, natural events, and social and information networks are just a few examples. Yet after decades of progress, they are still treated as mysterious, surprising, and even controversial, primarily because the necessary mathematical models and statistical methods are not widely known. This book, for the first time, provides a rigorous introduction to heavy-tailed distributions accessible to anyone who knows elementary probability. It tackles and tames the zoo of terminology for models and properties, demystifying topics such as the generalized central limit theorem and regular variation. It tracks the natural emergence of heavy-tailed distributions from a wide variety of general processes, building intuition. And it reveals the controversy surrounding heavy tails to be the result of flawed statistics, then equips readers to identify and estimate with confidence. Over 100 exercises complete this engaging package.