Large deviations from the almost everywhere central limit theorem

DOI10.1023/A:1022614700678zbMath0897.60031OpenAlexW192936345MaRDI QIDQ1374852

Timo Seppäläinen, Peter March

Publication date: 30 September 1998

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022614700678

zbMATH Keywords

Brownian motionlarge deviationsalmost everywhere central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Large deviations (60F10)

Related Items (11)

Large deviations for some logarithmic means in the case of random variables with thin tails ⋮ Asymptotic results for weighted means of linear combinations of independent Poisson random variables ⋮ Large deviation principles for sequences of logarithmically weighted means ⋮ Strong approximations for nonconventional sums and almost sure limit theorems ⋮ Large Deviations via Almost Sure CLT for Functionals of Markov Processes ⋮ On the large deviation principle for the almost sure CLT. ⋮ Asymptotic results for weighted means of random variables which converge to a Dickman distribution, and some number theoretical applications ⋮ Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables ⋮ Large deviations for weighted means of random vectors defined in terms of suitable Lévy processes ⋮ Large deviations and Wschebor's theorems ⋮ On large deviations for some sequences of weighted means of Gaussian processes

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