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Functional Equations in Probability Theory

✍ Scribed by Ramachandran Balasubrahmanyan and Ka-Sing Lau (Auth.)


Publisher
Elsevier Inc, Academic Press
Year
1991
Tongue
English
Leaves
260
Series
Probability and Mathematical Statistics
Category
Library

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✦ Synopsis


The focus of this monograph is on problems in analytical probability theory which give rise to functional equations. It emphasizes the most recent developments of the Integrated Cauchy Functional Equation and its application to characterization problems in statistics

✦ Table of Contents


Content:
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
Preface, Pages xi-xii
Introduction, Pages xiii-xvii
CHAPTER 1 - Background Material, Pages 1-22
CHAPTER 2 - Integrated Cauchy Functional Equations on ℝ+, Pages 23-50
CHAPTER 3 - The Stable Laws, the Semistable Laws, and a Generalization, Pages 51-70
CHAPTER 4 - Integrated Cauchy Functional Equations with Error Terms on ℝ+, Pages 71-97
CHAPTER 5 - Independent/Identically Distributed Linear Forms, and the Normal Laws, Pages 98-129
CHAPTER 6 - Independence/Identical Distribution Problems Relating to Stochastic Integrals, Pages 130-158
CHAPTER 7 - Distribution Problems Relating to the Arc-sine, the Normal, and the Chi-Square Laws, Pages 159-184
CHAPTER 8 - Integrated Cauchy Functional Equations on ℝ, Pages 185-209
CHAPTER 9 - Integrated Cauchy Functional Equations on Semigroups of ℝd, Pages 210-240
Bibliography, Pages 241-245
Index, Pages 247-249
PROBABILITY AND MATHEMATICAL STATISTICS, Pages ibc2-ibc3


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