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Characterization of Probability Distributions on Locally Compact Abelian Groups by Gennadiĭ Mikhaĭlovich Felʹdman is a nonfiction available to read on EtoBox.

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Contents Preface Chapter I. Preliminaries 1. Results of abstract harmonic analysis 2. Probability distributions on topological Abelian groups 3. Gaussian distributions on locally compact Abelian groups Chapter II. Independent random variables with independent sum and difference 4. Identically distributed random variables 5. General case Chapter III. Characterization of probability distributions through the independence of linear forms 6. General characterization theorems 7. Shifts of idempotent distributions on discrete and compact totally disconnected Abelian groups 8. Gaussian distributions on the cylinder R×T Chapter IV. Characterization of probability distributions through the symmetry of the conditional distribution of one linear form given another 9. Locally compact Abelian groups containing no elements of order 2 10. Discrete and compact totally disconnected Abelian groups 11. Locally compact Abelian groups containing an element of order 2 Chapter V. Characterization theorems on the field of p-adic numbers 12. Skitovich–Darmois theorem 13. Heyde theorem 14. Characterization of shifts of idempotent distributions through the independence of sum and difference squared Chapter V

Who reads Characterization of Probability Distributions on Locally Compact Abelian Groups?

Author

Gennadiĭ Mikhaĭlovich Felʹdman

Publisher

American Mathematical Society

Published

2023

Language

EN

ISBN

9781470473266

Category

nonfiction

Subjects

Mathematics, Probability, Stem