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Author : Ibrahim A. Ahmad
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (46 download)
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:
Author : Peter Hall
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.:/5 (44 download)
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 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ellen Shapiro Hertz
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (844 download)
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:
Author : V. Paulauskas
Publisher : Springer Science & Business Media
ISBN 13 : 9401177988
Total Pages : 171 pages
Book Rating : 4.4/5 (11 download)
Download or read book Approximation Theory in the Central Limit Theorem written by V. Paulauskas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: ~Et mai . ..., si j'avait su comment en revenir. One service mathematics has rendered the human race. It has put common sense back je n'y serais point aIIe.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent: therefore we may be sense' . able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Author : Yu.V. Prokhorov
Publisher : Springer Science & Business Media
ISBN 13 : 3662041723
Total Pages : 280 pages
Book Rating : 4.6/5 (62 download)
Download or read book Limit Theorems of Probability Theory written by Yu.V. Prokhorov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and researchers.
Author : Harry Cohen
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (112 download)
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:
Author : Christopher E. Olson
Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.:/5 (466 download)
Download or read book Convergence Rates for the Central Limit Theorem for Random Sums written by Christopher E. Olson and published by . This book was released on 1971 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harry Cohn
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (112 download)
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:
Author : Allan Gut
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (897 download)
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:
Author : Hans Fischer
Publisher : Springer Science & Business Media
ISBN 13 : 0387878572
Total Pages : 415 pages
Book Rating : 4.3/5 (878 download)
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.
Author : Ross Maller
Publisher : Springer Science & Business Media
ISBN 13 : 1441958231
Total Pages : 490 pages
Book Rating : 4.4/5 (419 download)
Download or read book Selected Works of C.C. Heyde written by Ross Maller and published by Springer Science & Business Media. This book was released on 2010-09-17 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1945, very early in the history of the development of a rigorous analytical theory of probability, Feller (1945) wrote a paper called “The fundamental limit theorems in probability” in which he set out what he considered to be “the two most important limit theorems in the modern theory of probability: the central limit theorem and the recently discovered ... ‘Kolmogoroff’s cel ebrated law of the iterated logarithm’ ”. A little later in the article he added to these, via a charming description, the “little brother (of the central limit theo rem), the weak law of large numbers”, and also the strong law of large num bers, which he considers as a close relative of the law of the iterated logarithm. Feller might well have added to these also the beautiful and highly applicable results of renewal theory, which at the time he himself together with eminent colleagues were vigorously producing. Feller’s introductory remarks include the visionary: “The history of probability shows that our problems must be treated in their greatest generality: only in this way can we hope to discover the most natural tools and to open channels for new progress. This remark leads naturally to that characteristic of our theory which makes it attractive beyond its importance for various applications: a combination of an amazing generality with algebraic precision.
Author : A. D. Barbour
Publisher : World Scientific
ISBN 13 : 981256280X
Total Pages : 239 pages
Book Rating : 4.8/5 (125 download)
Download or read book An Introduction to Stein's Method written by A. D. Barbour and published by World Scientific. This book was released on 2005 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: A common theme in probability theory is the approximation of complicated probability distributions by simpler ones, the central limit theorem being a classical example. Stein's method is a tool which makes this possible in a wide variety of situations. Traditional approaches, for example using Fourier analysis, become awkward to carry through in situations in which dependence plays an important part, whereas Stein's method can often still be applied to great effect. In addition, the method delivers estimates for the error in the approximation, and not just a proof of convergence. Nor is there in principle any restriction on the distribution to be approximated; it can equally well be normal, or Poisson, or that of the whole path of a random process, though the techniques have so far been worked out in much more detail for the classical approximation theorems.This volume of lecture notes provides a detailed introduction to the theory and application of Stein's method, in a form suitable for graduate students who want to acquaint themselves with the method. It includes chapters treating normal, Poisson and compound Poisson approximation, approximation by Poisson processes, and approximation by an arbitrary distribution, written by experts in the different fields. The lectures take the reader from the very basics of Stein's method to the limits of current knowledge.
Author : William Fer Grams
Publisher :
ISBN 13 :
Total Pages : 101 pages
Book Rating : 4.:/5 (245 download)
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:
Author : T. Birkel
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (46 download)
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:
Author : WanSoo T. Rhee
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.:/5 (655 download)
Download or read book Studies on the Rate of Convergence in the Central Limit Theorem written by WanSoo T. Rhee and published by . This book was released on 1979 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. Hall
Publisher : Academic Press
ISBN 13 : 1483263223
Total Pages : 321 pages
Book Rating : 4.4/5 (832 download)
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.
Author :
Publisher :
ISBN 13 :
Total Pages : 346 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Yokohama Mathematical Journal written by and published by . This book was released on 1990 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
