Strong laws of large numbers for arrays of rowwise NA and LNQD random variables
type: Item
instance of: scholarly article
title: Strong laws of large numbers for arrays of rowwise NA and LNQD random variables
zbMATH Open document ID: 1235.60025
DOI: 10.1155/2011/708087
author: Qunying Wu
author: Jiang-Feng Wang
published in: Journal of Probability and Statistics
publication date: 2012-03-13T00:00:00Z
review text: Summary: Some strong laws of large numbers and strong convergence properties for arrays of rowwise negatively associated and linearly negative quadrant dependent random variables are obtained. The results obtained not only generalize the result of \textit{T.-C. Hu} and \textit{R. L. Taylor} [Int. J. Math. Math. Sci. 20, No.~2, 375--382 (1997; Zbl 0883.60024)] to negatively associated and linearly negative quadrant dependent random variables, but also improve it.
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 6014376
zbMATH Keywords: negatively associated random variables
zbMATH Keywords: strong laws of large numbers
zbMATH Keywords: negative quadrant dependent random variables
Wikidata QID: Q58692056
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/708087
OpenAlex ID: W2077181162
cites work: On the strong law for arrays and for the bootstrap mean and variance
cites work: Negative association of random variables, with applications
cites work: Some Concepts of Dependence
cites work: A note on the almost sure convergence of sums of negatively dependent random variables
cites work: Q4516672
cites work: A general method to the strong law of large numbers and its applications
cites work: A Berry-Esseen theorem for weakly negatively dependent random variables and its applications
cites work: EXPONENTIAL PROBABILITY INEQUALITY FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES
cites work: Limiting behaviors of weighted sums for linearly negative quadrant dependent random variables
cites work: A comparison theorem on moment inequalities between negatively associated and independent random variables
cites work: Probability Inequalities for Sums of Independent Random Variables
description: scientific article; zbMATH DE number 6014376