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Author : Peter Hall
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (22 download)
Download or read book On the Rate of Convergence of Moments in the Central Limit Theorem written by Peter Hall and published by . This book was released on 1978 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Hall
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.F/5 ( 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 268 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 : University of Minnesota. Institute for Mathematics and Its Applications
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (123 download)
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:
Author :
Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.3/5 (91 download)
Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.V. Petrov
Publisher : Springer Science & Business Media
ISBN 13 : 3642658091
Total Pages : 360 pages
Book Rating : 4.6/5 (426 download)
Download or read book Sums of Independent Random Variables written by V.V. Petrov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classic "Limit Dislribntions fOT slt1ns of Independent Ramdorn Vari ables" by B.V. Gnedenko and A.N. Kolmogorov was published in 1949. Since then the theory of summation of independent variables has devel oped rapidly. Today a summing-up of the studies in this area, and their results, would require many volumes. The monograph by I.A. Ibragi mov and Yu. V. I~innik, "Independent and Stationarily Connected VaTiables", which appeared in 1965, contains an exposition of the contem porary state of the theory of the summation of independent identically distributed random variables. The present book borders on that of Ibragimov and Linnik, sharing only a few common areas. Its main focus is on sums of independent but not necessarily identically distri buted random variables. It nevertheless includes a number of the most recent results relating to sums of independent and identically distributed variables. Together with limit theorems, it presents many probahilistic inequalities for sums of an arbitrary number of independent variables. The last two chapters deal with the laws of large numbers and the law of the iterated logarithm. These questions were not treated in Ibragimov and Linnik; Gnedenko and KolmogoTOv deals only with theorems on the weak law of large numbers. Thus this book may be taken as complementary to the book by Ibragimov and Linnik. I do not, however, assume that the reader is familiar with the latter, nor with the monograph by Gnedenko and Kolmogorov, which has long since become a bibliographical rarity
Author : Patrick Billingsley
Publisher : John Wiley & Sons
ISBN 13 : 9788126517718
Total Pages : 612 pages
Book Rating : 4.5/5 (177 download)
Download or read book Probability and Measure written by Patrick Billingsley and published by John Wiley & Sons. This book was released on 2017 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its new third edition, Probability and Measure offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability. Retaining the unique approach of the previous editions, this text interweaves material on probability and measure, so that probability problems generate an interest in measure theory and measure theory is then developed and applied to probability. Probability and Measure provides thorough coverage of probability, measure, integration, random variables and expected values, convergence of distributions, derivatives and conditional probability, and stochastic processes. The Third Edition features an improved treatment of Brownian motion and the replacement of queuing theory with ergodic theory.· Probability· Measure· Integration· Random Variables and Expected Values· Convergence of Distributions· Derivatives and Conditional Probability· Stochastic Processes
Author : Mohammad Hossein Afghahi
Publisher :
ISBN 13 :
Total Pages : 74 pages
Book Rating : 4.:/5 (21 download)
Download or read book On the Rate of Convergence in the Central Limit Theorem in Two Dimensions and Its Application ... written by Mohammad Hossein Afghahi and published by . This book was released on 1973 with total page 74 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 : 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 : Rick Durrett
Publisher : Cambridge University Press
ISBN 13 : 113949113X
Total Pages : pages
Book Rating : 4.1/5 (394 download)
Download or read book Probability written by Rick Durrett and published by Cambridge University Press. This book was released on 2010-08-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.
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 : K. Ito
Publisher : Springer
ISBN 13 : 3540387013
Total Pages : 758 pages
Book Rating : 4.5/5 (43 download)
Download or read book Probability Theory and Mathematical Statistics written by K. Ito and published by Springer. This book was released on 2006-11-15 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oliver Johnson
Publisher : World Scientific
ISBN 13 : 9781860945373
Total Pages : 230 pages
Book Rating : 4.9/5 (453 download)
Download or read book Information Theory and the Central Limit Theorem written by Oliver Johnson and published by World Scientific. This book was released on 2004 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. - Presents surprising, interesting connections between two apparently separate areas of mathematics- Written by one of the researchers who discovered these connections- Offers a new way of looking at familiar results.
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 : 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 : 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:
