The Robbins-Siegmund series criterion for partial maxima

DOI10.1214/AOP/1176992820zbMath0576.60023OpenAlexW2042031308MaRDI QIDQ1064652

Michael J. Klass

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1214/aop/1176992820

zbMATH Keywords

sequencespartial maximaminimal growth rateupper and lower class

Mathematics Subject Classification ID

Strong limit theorems (60F15) Large deviations (60F10) Stochastic processes (60G99) Zero-one laws (60F20)

Related Items (16)

A series criterion for moving maxima ⋮ A universal form of the Chung-type law of the iterated logarithm ⋮ A zero-one law for large order statistics ⋮ A strong ergodic theorem for extreme and intermediate order statistics ⋮ Limit Theorems for Record Indicators in Threshold $F^\alpha$-Schemes ⋮ Asymptotic behavior of the extreme values of random variables. Discrete case ⋮ Strong limiting bounds for a sequence of moving maxima ⋮ Refinement of a zero-one law for maxima ⋮ A counting process in the max-scheme ⋮ On the Strong Consistency of the Kernel Estimator of Extreme Conditional Quantiles ⋮ Asymptotic behavior of maxima of independent random variables. Discrete case ⋮ A limit theorem for extreme values of discrete random variables and its applications ⋮ The laws of iterated and triple logarithms for extreme values of regenerative processes ⋮ Almost sure relative stability of the maximum of a stationary sequence ⋮ Small-time almost-sure behaviour of extremal processes ⋮ Asymptotic behavior of maxima of independent random variables

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