On Exact Asymptotics in the Weak Law of Large Numbers for Sums of Independent Random Variables with a Common Distribution Function from the Domain of Attraction of a Stable Law

DOI10.1137/S0040585X97980592zbMath1054.60031OpenAlexW2079339182MaRDI QIDQ4830878

Leonid V. Rozovsky

Publication date: 16 December 2004

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

Full work available at URL: https://doi.org/10.1137/s0040585x97980592

zbMATH Keywords

law of large numbersindependent random variablesstable law

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

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The asymptotic behavior over a small parameter of a series of large deviation probabilities weighted with the Dirichlet divisors function

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