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An extended version of the Erdős-Rényi strong law of large numbers

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Publication:1123477
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DOI10.1214/AOP/1176991507zbMath0677.60031OpenAlexW2040404867MaRDI QIDQ1123477

David M. Mason

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/1176991507


zbMATH Keywords

large deviationsErdős-Rényi strong law of large numberssmall increments of partial sums


Mathematics Subject Classification ID

Strong limit theorems (60F15) Large deviations (60F10)


Related Items (11)

Extended large deviations ⋮ On Mason's extension of the Erdős-Rényi law of large numbers ⋮ Functional Erdős-Rényi laws for processes indexed by sets ⋮ The Hausdorff dimension of level sets described by Erdős-Rényi average ⋮ On asymptotics of the maximal gain without losses. ⋮ Some limit theorems for the homogeneous Poisson process ⋮ Light tails: all summands are large when the empirical mean is large ⋮ Converses to the Csörgő-Révész laws ⋮ A generalization of the Erdős-Rényi limit theorem and the corresponding multifractal analysis ⋮ Asymptotic behavior of increments of random fields ⋮ On the number of points of a homogeneous Poisson process







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