An almost sure invariance principle for the partial sums of infima of independent random variables

DOI10.1214/aop/1176994896zbMath0423.60031OpenAlexW1996558241MaRDI QIDQ1134448

H. Hebda-Grabowska, Dominik Szynal

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1214/aop/1176994896

zbMATH Keywords

Brownian motionlaw of the iterated logarithminvariance principleordered sample

Mathematics Subject Classification ID

Strong limit theorems (60F15) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17)

Related Items (5)

A strong invariance principle for the logarithmic average of sample maxima. ⋮ Unnamed Item ⋮ Embedding in extremal processes and the asymptotic behavior of sums of minima ⋮ The strong approximation of extremal processes ⋮ Invariance principle for the sum of minima

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