Uniform Limit Theorems For Sums Of Independent Random Variables
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Uniform Limit Theorems For Sums Of Independent Random Variables
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Author : Taĭvo Viktorovich Arak
language : en
Publisher: American Mathematical Soc.
Release Date : 1988
Uniform Limit Theorems For Sums Of Independent Random Variables written by Taĭvo Viktorovich Arak and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Among the diverse constructions studied in modern probability theory, the scheme for summation of independent random variables occupies a special place. In the study of even this comparatively simple scheme it is possible to become familiar with the fundamental regularities characterizing the cumulative influence of a large number of random factors. Further, this abstract model is useful in many important practical situations. This book is devoted to the study of distributions of sums of independent random variables with minimal restrictions imposed on their distributions. The authors assume either that the distributions of the terms are concentrated on some finite interval to within a small mass, or that all the terms have the same, but arbitrary, distribution (or other conditions not connected with moment restrictions are introduced). Surprisingly, very substantive results are possible even under such a general statement of the problems.
Limit Distributions For Sums Of Independent Random Variables
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Author : B V (Boris Vladimirovich) Gnedenko
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-09
Limit Distributions For Sums Of Independent Random Variables written by B V (Boris Vladimirovich) Gnedenko and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with categories.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Sums Of Independent Random Variables
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Author : V.V. Petrov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Sums Of Independent Random Variables written by V.V. Petrov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The classic "Limit Distributions for Sums of Independent Random Variables" 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 Ibragimov y Linnik, "Independent and stationary sequences of random variables", 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
Probability Theory And Mathematical Statistics Vol 2
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Author : B. Grigelionis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Probability Theory And Mathematical Statistics Vol 2 written by B. Grigelionis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Mathematics categories.
No detailed description available for "PROB. TH. MATH. ST. ( GRIGELIONIS) VOL. 2 PROC.5/1989 E-BOOK".
Modern Theory Of Summation Of Random Variables
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Author : Vladimir M. Zolotarev
language : en
Publisher: Walter de Gruyter
Release Date : 2011-09-06
Modern Theory Of Summation Of Random Variables written by Vladimir M. Zolotarev and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-06 with Mathematics categories.
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.
Limit Theorems For Random Sums
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Author : Stephen A. Book
language : en
Publisher:
Release Date : 1966
Limit Theorems For Random Sums written by Stephen A. Book and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Distribution (Probability theory) categories.
Limit Theorems Of Probability Theory
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Author : Yu.V. Prokhorov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Limit Theorems Of Probability Theory written by Yu.V. Prokhorov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
This book consists of five parts written by different authors devoted to various problems dealing with probability limit theorems. The first part, "Classical-Type Limit Theorems for Sums ofIndependent Random Variables" (V.v. Petrov), presents a number of classical limit theorems for sums of independent random variables as well as newer related results. The presentation dwells on three basic topics: the central limit theorem, laws of large numbers and the law of the iterated logarithm for sequences of real-valued random variables. The second part, "The Accuracy of Gaussian Approximation in Banach Spaces" (V. Bentkus, F. G6tze, V. Paulauskas and A. Rackauskas), reviews various results and methods used to estimate the convergence rate in the central limit theorem and to construct asymptotic expansions in infinite-dimensional spaces. The authors con fine themselves to independent and identically distributed random variables. They do not strive to be exhaustive or to obtain the most general results; their aim is merely to point out the differences from the finite-dimensional case and to explain certain new phenomena related to the more complex structure of Banach spaces. Also reflected here is the growing tendency in recent years to apply results obtained for Banach spaces to asymptotic problems of statistics.
Limiting Distributions Of Random Sums Of Independent Random Variables
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Author : Helen Wittenberg
language : en
Publisher:
Release Date : 1963
Limiting Distributions Of Random Sums Of Independent Random Variables written by Helen Wittenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Probabilities categories.
Limit Theorems For Large Deviations
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Author : L. Saulis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Limit Theorems For Large Deviations written by L. Saulis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
"Et moi ... - si j'avait su comment en revenir. One service mathematics has rendered the je n'y serais poin t aile.' human race. It has put common sense back 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.H ea viside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non Iinearities 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 'e1:re of this series
Probability Theory And Mathematical Statistics
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Author : B. Grigelionis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Probability Theory And Mathematical Statistics written by B. Grigelionis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Mathematics categories.
No detailed description available for "Probability Theory and Mathematical Statistics".