Complete convergence and complete moment convergence for negatively associated sequences of random variables

DOI10.1186/s13660-016-1107-zzbMath1339.60025OpenAlexW2429723949WikidataQ59467054 ScholiaQ59467054MaRDI QIDQ300539

Yuanying Jiang, Qunying Wu

Publication date: 28 June 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1107-z

zbMATH Keywords

complete convergencenegatively associated random variablescomplete moment convergence

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (15)

A note on complete moment convergence for coordinatewise negatively associated random vectors in Hilbert spaces ⋮ Complete integral convergence for arrays of row-wise extended independent random variables under Sub-linear expectations ⋮ Probability inequalities for sums of NSD random variables and applications ⋮ Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation ⋮ The complete moment convergence for CNA random vectors in Hilbert spaces ⋮ Complete q-th moment convergence for the maximum of partial sums of m-negatively associated random variables and its application to the EV regression model^* ⋮ Complete integral convergence for weighted sums of widely negative dependent random variables under the sub-linear expectations ⋮ Complete convergence theorems for arrays of row-wise extended negatively dependent random variables under sub-linear expectations ⋮ On the complete convergence of weighted sums for widely orthant dependent random variables ⋮ Complete convergence for END random variables under sublinear expectations ⋮ Some types of convergence for negatively dependent random variables under sublinear expectations ⋮ Theorems of complete convergence and complete integral convergence for END random variables under sub-linear expectations ⋮ Complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations ⋮ Complete convergence for arrays of row-wise ND random variables under sub-linear expectations ⋮ Equivalent conditions of complete moment convergence for extended negatively dependent random variables

Cites Work

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• Further study of complete convergence for weighted sums of PNQD random variables
• An intermediate Baum-Katz theorem
• A note on the almost sure convergence of sums of negatively dependent random variables
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• Sufficient and necessary conditions of complete convergence for weighted sums of PNQD random variables
• Negative association of random variables, with applications
• Complete moment convergence for i.i.d. random variables
• On complete convergence for arrays of rowwise AANA random variables
• Complete Convergence and the Law of Large Numbers

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