The law of the iterated logarithm for B-valued random variables with multidimensional indices

DOI10.1214/AOP/1176991425zbMath0679.60007OpenAlexW2002788965MaRDI QIDQ1822820

Zhiquan Wu, De Li Li

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1214/aop/1176991425

zbMATH Keywords

Brownian sheetcentral limit theoremrectangular sumscompact laws of the iterated logarithm

Mathematics Subject Classification ID

Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (5)

The LIL convergence for stationary linear random field ⋮ Estimation and inference of change points in high-dimensional factor models ⋮ Almost sure behaviour of \(\mathbb{F}\)-valued random fields ⋮ Stability of maxima of random variables with multidimensional indices ⋮ Bounded and compact laws of the logarithm for \(B\)-valued random variables

This page was built for publication: The law of the iterated logarithm for B-valued random variables with multidimensional indices