Bounds for approximations of \(n\)-fold convolutions of distributions with unlimited divisibility and the moments problem

DOI10.1007/BF02364907zbMath0839.60036OpenAlexW2017892258MaRDI QIDQ1191254

Gennadiy P. Chistyakov

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf02364907

zbMATH Keywords

infinitely divisible distributions\(n\)-ary multiple convolution of laws of distributionsnon-uniform approximation

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17) Limit theorems in probability theory (60F99)

Related Items (2)

Approximation of Free Convolutions by Free Infinitely Divisible Laws ⋮ Free Infinitely Divisible Approximations of n-Fold Free Convolutions

Cites Work

• Two Uniform Limit Theorems for Sums of Independent Random Variables
• On the infinite divisibility of the lognormal distribution
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