The law of the iterated logarithm for independent random variables with multidimensional indices

DOI10.1214/aop/1176989798zbMath0753.60029OpenAlexW2077629070MaRDI QIDQ1196930

M. Bhaskara Rao, Xiang Chen Wang, De Li Li

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1214/aop/1176989798

zbMATH Keywords

strong law of large numberslaw of the iterated logarithmrates of convergencemultidimensional indicesGaussian randomizationrandomization technique

Mathematics Subject Classification ID

Random fields (60G60) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (6)

Complete convergence and almost sure convergence of weighted sums of random variables ⋮ On moments of the supremum of normed weighted averages ⋮ Almost sure behaviour of \(\mathbb{F}\)-valued random fields ⋮ Stability of maxima of random variables with multidimensional indices ⋮ On the law of the iterated logarithm and strong invariance principles in stochastic geometry ⋮ Bounded and compact laws of the logarithm for \(B\)-valued random variables

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