Chover's law of the iterated logarithm and weak convergence

DOI10.1007/BF01950273zbMath0555.60022WikidataQ114852622 ScholiaQ114852622MaRDI QIDQ760708

Vasudeva Rasbagh

Publication date: 1984

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

law of the iterated logarithmdomain of attractionstable distribution function

Mathematics Subject Classification ID

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

Related Items (10)

Functional law of the iterated logarithm for partial sum processes of non-negative valued iid random variables belonging to the domain of partial attraction of a semi-stable law ⋮ Chover's law of the iterated logarithm for negatively associated sequences ⋮ Chover-type laws of the \(k\)-iterated logarithm for weighted sums of strongly mixing sequences ⋮ Strong law of large numbers and Chover's law of the iterated logarithm under sub-linear expectations ⋮ An improved result in almost sure central limit theory for products of partial sums with stable distribution ⋮ On sums of independent random variables whose distributions belong to the max domain of attraction of max stable laws ⋮ Chover-type laws of the \(k\)-iterated logarithm for \(\tilde {\rho }\)-mixing sequences of random variables ⋮ Almost sure limit theorems for stable distributions ⋮ Chover-type laws of the iterated logarithm for continuous time random walks ⋮ Another form of Chover's law of the iterated logarithm under sub-linear expectations

Cites Work

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• On a Hypothesis Proposed by B. V. Gnedenko
• A Law of the Iterated Logarithm for Stable Summands
• A Law of the Iterated Logarithm for Stable Summands
• A Limit Theoerm for Random Variables with Infinite Moments

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