On the comparison of distribution functions of random variables
type: Item
instance of: scholarly article
title: On the comparison of distribution functions of random variables
zbMATH Open document ID: 1206.60021
DOI: 10.1134/S0001434610010037
published in: Mathematical Notes
publication date: 2010-09-24T00:00:00Z
review text: A general comparison principle for distribution functions of random variables with conditions expressed in terms of moments of these variables is given. Using this principle, a criterion for the equivalence in distribution of an arbitrary sequence of random variables to the Rademacher system is proved. Some applications of the results to the theory of the Sidon sets are presented.
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 46B09
zbMATH DE Number: 5791015
zbMATH Keywords: distribution function of a random variable
zbMATH Keywords: comparison principle
zbMATH Keywords: Rademacher system
zbMATH Keywords: Banach space
zbMATH Keywords: Chebyshev inequality
zbMATH Keywords: Peetre \(\mathcal K\)-functional
zbMATH Keywords: Sidon set
zbMATH Keywords: Banach couple
author: Sergey Astashkin
reviewed by: Jarosław Bartoszewicz
MaRDI profile type: Publication
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cites work: Q5685535
full work available at URL: s0001434610010037
OpenAlex ID: W2101628760
description: scientific article; zbMATH DE number 5791015