Characteristic functions and compactness of distributions of sums of independent random variables

DOI10.1007/S10958-018-3719-YzbMath1386.60067OpenAlexW2792326705MaRDI QIDQ1746419

A. A. Khartov

Publication date: 25 April 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3719-y

zbMATH Keywords

stochastic compactness\(\tau\)-centersuniform asymptotic smallnessuniform limit constancy

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Sums of independent random variables; random walks (60G50)

Related Items (1)

Compactness criteria for quasi-infinitely divisible distributions on the integers

Cites Work

• Compactness of a sequence of sums of independent variables with values in a Hilbert space
• Stochastic compactness of distributions of sums of independent random variables with finite variances
• Order of Magnitude of the Concentration Function
• Modern Theory of Summation of Random Variables
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