An analogue of the Baum-Katz theorem for weakly dependent random variables

DOI10.1007/BF02676666zbMath0960.60025OpenAlexW1996141057MaRDI QIDQ1585627

A. E. Mikusheva

Publication date: 16 November 2000

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

Full work available at URL: https://doi.org/10.1007/bf02676666

zbMATH Keywords

strong law of large numbersstrong mixing conditiondiscrete-time Markov processMarcinkiewicz-Zygmund theoremHsu-Robbins theorem

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

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• The functional central limit theorem for strongly mixing processes
• A maximal inequality and dependent Marcinkiewicz-Zygmund strong laws
• Convergence Rates in the Law of Large Numbers
• Complete Convergence and the Law of Large Numbers

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