Author: Taĭvo Viktorovich Arak
Publisher: American Mathematical Soc.
ISBN: 9780821831182
Category : Mathematics
Languages : en
Pages : 236
Book Description
Among the diverse constructions studied in modern probability theory, the scheme for summation of independent random variables occupies a special place. This book presents a study of distributions of sums of independent random variables with minimal restrictions imposed on their distributions.
Uniform Limit Theorems for Sums of Independent Random Variables
Author: Taĭvo Viktorovich Arak
Publisher: American Mathematical Soc.
ISBN: 9780821831182
Category : Mathematics
Languages : en
Pages : 236
Book Description
Among the diverse constructions studied in modern probability theory, the scheme for summation of independent random variables occupies a special place. This book presents a study of distributions of sums of independent random variables with minimal restrictions imposed on their distributions.
Publisher: American Mathematical Soc.
ISBN: 9780821831182
Category : Mathematics
Languages : en
Pages : 236
Book Description
Among the diverse constructions studied in modern probability theory, the scheme for summation of independent random variables occupies a special place. This book presents a study of distributions of sums of independent random variables with minimal restrictions imposed on their distributions.
Sums of Independent Random Variables
Author: V.V. Petrov
Publisher: Springer Science & Business Media
ISBN: 3642658091
Category : Mathematics
Languages : en
Pages : 360
Book Description
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
Publisher: Springer Science & Business Media
ISBN: 3642658091
Category : Mathematics
Languages : en
Pages : 360
Book Description
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
Introductory Statistics 2e
Author: Barbara Illowsky
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 2106
Book Description
Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 2106
Book Description
Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.
Limit Distributions for Sums of Independent Random Variables
Author: B V (Boris Vladimirovich) Gnedenko
Publisher: Hassell Street Press
ISBN: 9781014649485
Category :
Languages : en
Pages : 284
Book Description
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.
Publisher: Hassell Street Press
ISBN: 9781014649485
Category :
Languages : en
Pages : 284
Book Description
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.
Limit Theorems of Probability Theory
Author: Yu.V. Prokhorov
Publisher: Springer Science & Business Media
ISBN: 3662041723
Category : Mathematics
Languages : en
Pages : 280
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3662041723
Category : Mathematics
Languages : en
Pages : 280
Book Description
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.
Uniform Central Limit Theorems
Author: R. M. Dudley
Publisher: Cambridge University Press
ISBN: 0521461022
Category : Mathematics
Languages : en
Pages : 452
Book Description
This treatise by an acknowledged expert includes several topics not found in any previous book.
Publisher: Cambridge University Press
ISBN: 0521461022
Category : Mathematics
Languages : en
Pages : 452
Book Description
This treatise by an acknowledged expert includes several topics not found in any previous book.
Modern Theory of Summation of Random Variables
Author: Vladimir M. Zolotarev
Publisher: Walter de Gruyter
ISBN: 3110936534
Category : Mathematics
Languages : en
Pages : 429
Book Description
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.
Publisher: Walter de Gruyter
ISBN: 3110936534
Category : Mathematics
Languages : en
Pages : 429
Book Description
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.
Bernoulli, 1713 ; Bayes, 1763 ; Laplace, 1913
Author: Jerzy Neyman
Publisher:
ISBN:
Category : Probabilities
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category : Probabilities
Languages : en
Pages : 0
Book Description
Representation Theory, Dynamical Systems, and Asymptotic Combinatorics
Author: V. Kaimanovich
Publisher: American Mathematical Soc.
ISBN: 0821872893
Category : Mathematics
Languages : en
Pages : 258
Book Description
This volume, devoted to the 70th birthday of the well-known St. Petersburg mathematician A. M. Vershik, contains a collection of articles by participants in the conference "Representation Theory, Dynamical Systems, and Asymptotic Combinatorics", held in St. Petersburg in June of 2004. The book is suitable for graduate students and researchers interested in combinatorial and dynamical aspects of group representation theory.
Publisher: American Mathematical Soc.
ISBN: 0821872893
Category : Mathematics
Languages : en
Pages : 258
Book Description
This volume, devoted to the 70th birthday of the well-known St. Petersburg mathematician A. M. Vershik, contains a collection of articles by participants in the conference "Representation Theory, Dynamical Systems, and Asymptotic Combinatorics", held in St. Petersburg in June of 2004. The book is suitable for graduate students and researchers interested in combinatorial and dynamical aspects of group representation theory.
Limiting Distributions of Random Sums of Independent Random Variables
Author: Helen Wittenberg
Publisher:
ISBN:
Category : Probabilities
Languages : en
Pages : 72
Book Description
Publisher:
ISBN:
Category : Probabilities
Languages : en
Pages : 72
Book Description