Approximation of convolutions of probability distributions by infinitely divisible laws under weakened moment restrictions

DOI10.1007/BF02365083zbMath0830.60014MaRDI QIDQ1207909

Andrei Yu. Zaitsev

Publication date: 16 May 1993

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

zbMATH Keywords

rate of convergencecentral limit theorem

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05)

Related Items (4)

Compound Poisson approximation ⋮ Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables ⋮ Arak Inequalities for Concentration Functions and the Littlewood--Offord Problem ⋮ Limit Theorems and Phase Transitions for Two Models of Summation of Independent Identically Distributed Random Variables with a Parameter

Cites Work

• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• Local Limit Theorems for Sums of Weighted Independent Random Variables
• A Remark on the Katz-Petrov Theorem
• Note on the Berry-Esseen Theorem
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