Conditional generalizations of strong laws which conclude the partial sums converge almost surely

DOI10.1214/aop/1176993792zbMath0486.60028OpenAlexW2016892991MaRDI QIDQ1164910

Theodore P. Hill

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1214/aop/1176993792

zbMATH Keywords

almost sure convergence of partial sumsconditional Borel-Cantelli lemma, conditional three-series theoremconditional strong lawsdependent sequences of random variables

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Strong limit theorems (60F15)

Related Items (5)

Almost Sure Stability of Partial Sums of Uniformly Bounded Random Variables ⋮ Laws of large numbers for semimartingales with applications to stochastic regression ⋮ Two-parameter strong laws and maximal inequalities forU-statistics ⋮ Some procedures for extending random operators ⋮ Guaranteed parameter estimation in a first order autoregressive progress with infinite variance

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