Exponential estimates for the distributions of sums of independent random fields

DOI10.1007/BF00968956zbMath0661.60038OpenAlexW2080248581MaRDI QIDQ1113172

I. S. Borisov

Publication date: 1985

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00968956

zbMATH Keywords

central limit theoremslog log lawsgeneralized Glivenko-Cantelli theorems

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Functional limit theorems; invariance principles (60F17)

Related Items (1)

Laws of the iterated logarithm for partial sum processes indexed by functions

Cites Work

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• Log log laws for empirical measures
• Exponential inequalities for sums of random vectors
• Empirical and Poisson processes on classes of sets or functions too large for central limit theorems
• Invariance principles for sums of Banach space valued random elements and empirical processes
• Generalizations of the Glivenko-Cantelli Theorem

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