A universal result in almost sure central limit theory.
type: Item
instance of: scholarly article
title: A universal result in almost sure central limit theory.
zbMATH Open document ID: 1053.60022
DOI: 10.1016/S0304-4149(01)00078-3
author: István Berkes
author: Endre Csáki
published in: Stochastic Processes and their Applications
publication date: 2004-11-26T00:00:00Z
review text: The paper presents results generalizing the almost sure central limit theorem in several ways. The weights in formula are relaxed, the considered functions of observations are allowed general such that sum and/or maximum became examples, only, and an arbitrary distribution function can serve as the limit instead of Gaussian one. The paper finishes with interesting consequences for random walks, U-statistics, Kolmogorov-Smirnov statistics, etc.
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 2119510
zbMATH Keywords: almost sure central limit theorem
zbMATH Keywords: logarithmic averages
zbMATH Keywords: summation methods
reviewed by: Petr Lachout
MaRDI profile type: Publication
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Wikidata QID: Q126297782
full work available at URL: s0304-4149(01)00078-3
OpenAlex ID: W2053066681
description: scientific article; zbMATH DE number 2119510