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Decomposition of Random Variables and Vectors
About this Title
Ju. V. Linnik and I. V. Ostrovskiĭ. Edited by Judah Rosenblatt. Translated by Israel Program for Scientific Translations
Publication: Translations of Mathematical Monographs
Publication Year:
1977; Volume 48
ISBNs: 978-0-8218-4646-9 (print); 978-1-4704-4463-1 (online)
DOI: https://doi.org/10.1090/mmono/048
MathSciNet review: MR0428382
MSC: Primary 60E05; Secondary 60G50
Table of Contents
Front/Back Matter
Chapters
- Introduction
- Chapter I. Auxiliary material from probability and analysis
- Chapter II. Analytical properties of characteristic functions
- Chapter III. General theorems of factorizations of probability distributions
- Chapter IV. Necessary conditions for membership of distributions with a Gaussian component in $I_0$
- Chapter V. Sufficient conditions for membership of distributions in the class $\mathfrak {L}$ in $I_0$
- Chapter VI. Factorizations of multi-dimensional distributions
- Chapter VII. Generalization of the factorization problem
- Chapter VIII. Stability of factorizations
- Chapter IX. Limit theorems without the asymptotic negligibility condition
- Chapter X. Unsolved problems