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On the almost sure minimal growth rate of partial sum maxima

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Publication:1904485
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DOI10.1214/aop/1176988487zbMath0857.60023OpenAlexW2080968832MaRDI QIDQ1904485

Cun-Hui Zhang, Michael J. Klass

Publication date: 1 February 1996

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176988487


zbMATH Keywords

inequalitylaw of the iterated logarithmrandom walkrate of escapeintegral testalmost sure limitladder variablestruncated moment


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)


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Order of magnitude bounds for expectations of \(\Delta_2\)-functions of nonnegative random bilinear forms and generalized \(U\)-statistics ⋮ A universal form of the Chung-type law of the iterated logarithm ⋮ Random walk in mixed random environment without uniform ellipticity ⋮ Sub-Bernoulli functions, moment inequalities and strong laws for nonnegative and symmetrized \(U\)-statistics



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