On the Convergence Rate in Kolmogorov’s Uniform Limit Theorem. II

DOI10.1137/1126052zbMath0495.60037OpenAlexW4255976012MaRDI QIDQ3959194

Unnamed Author

Publication date: 1981

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1126052

zbMATH Keywords

convolutioninfinitely divisible distribution function

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Strong limit theorems (60F15)

Related Items (8)

Total variation asymptotics for sums of independent integer random variables ⋮ Approximation of Free Convolutions by Free Infinitely Divisible Laws ⋮ Compound Poisson approximation ⋮ Approximation of distributions of sums of Banach-valued random elements with infinitely divisible laws. I. ⋮ On asymptotic expansions in the first uniform Kolmogorov theorem ⋮ Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables ⋮ Infinitely divisible approximations for discrete nonlattice variables ⋮ An optimal Berry-Esseen type theorem for integrals of smooth functions

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