Weak laws of large numbers for arrays of dependent random variables

DOI10.1080/17442508.2013.879140zbMath1337.60028OpenAlexW2021457219MaRDI QIDQ2811104

Shuhe Hu, Xinghui Wang

Publication date: 10 June 2016

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2013.879140

zbMATH Keywords

uniform integrabilityweak law of large numbersNOD sequencemartingale differencepair-wise NQD sequence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) (L^p)-limit theorems (60F25)

Related Items (10)

Convergence properties for the partial sums of widely orthant dependent random variables under some integrable assumptions and their applications ⋮ Limiting behaviour for arrays of rowwise widely orthant dependent random variables under conditions of R − h-integrability and its applications ⋮ Moment Inequalities for $m$-NOD Random Variables and Their Applications ⋮ Weak and strong laws of large numbers for arrays of rowwise END random variables and their applications ⋮ Moment inequalities for \(m\)-negatively associated random variables and their applications ⋮ Laws of large numbers and complete convergence for WOD random variables and their applications ⋮ Bump detection in the presence of dependency: does it ease or does it load? ⋮ Limit behaviors for ANA random variables under R-h-integrability and SR-h-integrability ⋮ Some convergence properties for the maximum of partial sums of \(m\)-negatively associated random variables ⋮ Conditional mean convergence theorems of conditionally dependent random variables under conditions of integrability

Cites Work

• Unnamed Item
• Unnamed Item
• Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables
• Complete convergence of weighted sums under negative dependence
• Mean convergence theorems and weak laws of large numbers for weighted sums of dependent random variables
• Cesàro \(\alpha\)-integrability and laws of large numbers. II
• Mean convergence theorems for weighted sums of arrays of residually \(h\)-integrable random variables concerning the weights under dependence assumptions
• On the weak laws of large numbers for arrays of random variables
• Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
• The weak law of large numbers for arrays
• A note on the almost sure convergence of sums of negatively dependent random variables
• On the weak law of large numbers for arrays
• Cesàro \({\alpha}\)-integrability and laws of large numbers. I
• Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability
• Negative association of random variables, with applications
• Weak law of large numbers for arrays of random variables
• On the weak laws for arrays of random variables
• Some strong limit theorems of weighted sums for negatively dependent generalized Gaussian random variables
• L₁-Convergence for Weighted Sums of Some Dependent Random Variables
• A strong law of large numbers for arrays of rowwise negatively dependent random variables
• The Strong Law of Large Numbers for Negatively Dependent Generalized Gaussian Random Variables
• WEAK LAWS OF LARGE NUMBERS FOR ARRAYS UNDER A CONDITION OF UNIFORM INTEGRABILITY
• Some Concepts of Dependence

This page was built for publication: Weak laws of large numbers for arrays of dependent random variables