A mean central limit theorem for weakly multiplicative systems and its application to lacunary trigonometric series
type: Item
instance of: scholarly article
title: A mean central limit theorem for weakly multiplicative systems and its application to lacunary trigonometric series
zbMATH Open document ID: 0722.60029
DOI: 10.1007/BF01366904
author: Katusi Fukuyama
publication date: 1991-01-01T00:00:00Z
review text: We discuss the rate of convergence in the mean central limit theorem for weakly multiplicative systems and apply this result to lacunary trigonometric series under probability measures on \({\mathbb{R}}\) with Hölder continuous distribution function.
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60F25
zbMATH DE Number: 4190816
zbMATH Keywords: rate of convergence
zbMATH Keywords: mean central limit theorem
zbMATH Keywords: weakly multiplicative systems
MaRDI profile type: Publication
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published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4190816