Limit Distributions For Sums Of Independent Random Variables
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Limit Distributions For Sums Of Independent Random Variables
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Author : Boris Vladimirovich Gnedenko
language : en
Publisher:
Release Date : 1968
Limit Distributions For Sums Of Independent Random Variables written by Boris Vladimirovich Gnedenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Distribution (Probability theory). categories.
Limit Distributions For Sums Of Independent Randomvariables
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Author : Gnedenko
language : en
Publisher: John Wiley & Sons Incorporated
Release Date : 1997-05-01
Limit Distributions For Sums Of Independent Randomvariables written by Gnedenko and has been published by John Wiley & Sons Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-01 with Mathematics categories.
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
Limit Distributions For Sums Of Independent Random Variables
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Author : B.V. Gnedenko
language : en
Publisher:
Release Date : 1988
Limit Distributions For Sums Of Independent Random Variables written by B.V. Gnedenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
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 : Boris Vladimirovich Gnedenko
language : en
Publisher:
Release Date : 1954
Limit Distributions For Sums Of Independent Random Variables written by Boris Vladimirovich Gnedenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Probabilities categories.
Limit Distributions For Sums Of Independent Random Variables
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Author : Boris V. Gnedenko
language : en
Publisher:
Release Date : 1968
Limit Distributions For Sums Of Independent Random Variables written by Boris V. Gnedenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Probabilities categories.
Limit Distributions For Sums Of Independent Random Vectors
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Author : Mark M. Meerschaert
language : en
Publisher: John Wiley & Sons
Release Date : 2001-07-11
Limit Distributions For Sums Of Independent Random Vectors written by Mark M. Meerschaert and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-11 with Mathematics categories.
A comprehensive introduction to the central limit theory-from foundations to current research This volume provides an introduction to the central limit theory of random vectors, which lies at the heart of probability and statistics. The authors develop the central limit theory in detail, starting with the basic constructions of modern probability theory, then developing the fundamental tools of infinitely divisible distributions and regular variation. They provide a number of extensions and applications to probability and statistics, and take the reader through the fundamentals to the current level of research. In synthesizing results from nearly 200 research papers and presenting them in a self-contained form, authors Meerschaert and Scheffler have produced an accessible reference that treats the central limit theory honestly and focuses on multivariate models. For researchers, it provides an efficient and logical path through a large collection of results with many possible applications to real-world phenomena. Limit Distributions for Sums of Independent Random Vectors includes a coherent introduction to limit distributions and these other features: * A self-contained introduction to the multivariate problem * Multivariate regular variation for linear operators, real-valued functions, and Borel Measures * Multivariate limit theorems: limit distributions, central limit theorems, and related limit theorems * Real-world applications Limit Distributions for Sums of Independent Random Vectors is a comprehensive reference that provides an up-to-date survey of the state of the art in this important research area.
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.
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