The Borel-Cantelli lemma for strong mixing sequences of events and their applications to LIL

DOI10.2996/kmj/1138036012zbMath0422.60025OpenAlexW1971002869WikidataQ124866726 ScholiaQ124866726MaRDI QIDQ1133825

Ken-ichi Yoshihara

Publication date: 1979

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

Full work available at URL: https://doi.org/10.2996/kmj/1138036012

zbMATH Keywords

Borel-Cantelli lemmastrong mixinglaws of the iterated logarithmnon-stationary

Mathematics Subject Classification ID

Strong limit theorems (60F15) Zero-one laws (60F20)

Related Items

Some conditional results for conditionally strong mixing sequences of random variables ⋮ Chover-type laws of the \(k\)-iterated logarithm for weighted sums of strongly mixing sequences ⋮ THE LAW OF LARGE NUMBERS AND THE LAW OF THE ITERATED LOGARITHM FOR INFINITE DIMENSIONAL INTERACTING DIFFUSION PROCESSES

Cites Work

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• Moment inequalities and the strong laws of large numbers
• The Law of the Iterated Logarithm for a Class of Dependent Random Variables
• Convergence of Distributions Generated by Stationary Stochastic Processes
• The Law of the Iterated Logarithm for Mixing Stochastic Processes
• The law of the iterated logarithm for stationary processes satisfying mixing conditions