The Hájek-Rényi inequality for the NA random variables and its application
type: Item
instance of: scholarly article
title: The Hájek-Rényi inequality for the NA random variables and its application
zbMATH Open document ID: 0929.60020
DOI: 10.1016/S0167-7152(98)00251-X
author: Jingjun Liu
author: Shixin Gan
author: Pingyan Chen
published in: Statistics \& Probability Letters
publication date: 2000-01-24T00:00:00Z
review text: The authors extend the classical Hájek-Rényi inequality to partial sums of negatively associated (NA) random variables. The latter have been introduced by K. Joag-Dev and F. Proschan (1983) and are of interest in reliability theory and multivariate statistics. Strong laws of large numbers and complete convergence for NA variables are consequences of the above extension. The Marcinkiewicz strong law is discussed in some detail.
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60E15
zbMATH DE Number: 1279000
zbMATH Keywords: Hájek-Rényi inequality
zbMATH Keywords: negatively associated random variables
zbMATH Keywords: Marcinkiewicz strong law of large numbers
zbMATH Keywords: complete convergence
reviewed by: J. G. Steinebach
MaRDI profile type: Publication
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cites work: Q4084474
cites work: A theorem of Hsu-Robbins type for negatively associated sequence
full work available at URL: s0167-7152(98)00251-x
OpenAlex ID: W1968188506
description: scientific article; zbMATH DE number 1279000