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The almost sure central limit theorem

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Publication:1567436
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zbMath0959.60028MaRDI QIDQ1567436

Mohamed Atlagh, Michel J. G. Weber

Publication date: 26 April 2001

Published in: Expositiones Mathematicae (Search for Journal in Brave)


zbMATH Keywords

almost sure central limit theoremlogarithmic averages


Mathematics Subject Classification ID

Strong limit theorems (60F15) Limit theorems in probability theory (60F99) Measure-theoretic ergodic theory (28D99)


Related Items (11)

The law of large numbers with exceptional sets ⋮ Critical behavior in almost sure central limit theory ⋮ Directed polymers in random environment are diffusive at weak disorder ⋮ Almost sure limit theorems for the maximum of a class of quasi-stationary sequences ⋮ On the long-range directed polymer model ⋮ On the universal a.s. central limit theorem ⋮ A note on the almost sure limit theorem for the product of partial sums ⋮ An extension of almost sure central limit theory ⋮ Almost sure limit theorems for \(U\)-statistics ⋮ Asymptotic results for weighted means of random variables which converge to a Dickman distribution, and some number theoretical applications ⋮ Almost sure limit theorems for the maximum of stationary Gaussian sequences




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