A maximal inequality and dependent Marcinkiewicz-Zygmund strong laws
type: Item
instance of: scholarly article
title: A maximal inequality and dependent Marcinkiewicz-Zygmund strong laws
zbMATH Open document ID: 0836.60026
author: Emmanuel Rio
published in: The Annals of Probability
publication date: 1996-04-22T00:00:00Z
review text: This paper extends Kolmogorov's maximal inequality to dependent sequences, and derives dependent Marcinkiewicz-Zygmund type strong laws of large numbers from this inequality. In particular, the stationary strongly mixing sequences have been considered, it has been proved that some condition cannot be improved.
reviewed by: Guijing Chen
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60E15
zbMATH DE Number: 796526
zbMATH Keywords: Kolmogorov's maximal inequality
zbMATH Keywords: Marcinkiewicz-Zygmund type strong laws of large numbers
zbMATH Keywords: stationary strongly mixing sequences
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176988295
OpenAlex ID: W2041430578
DOI: 10.1214/AOP/1176988295
description: scientific article; zbMATH DE number 796526