A note on the complete convergence for arrays of dependent random variables

DOI10.1186/1029-242X-2011-76zbMath1276.60035WikidataQ59268216 ScholiaQ59268216MaRDI QIDQ357694

Soo Hak Sung

Publication date: 13 August 2013

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

zbMATH Keywords

complete convergencenegatively associated random variablesnegatively dependent random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items

Complete convergence and strong law of large numbers for arrays of random variables under sublinear expectations, Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications, On the complete convergence of weighted sums for widely orthant dependent random variables, An approach to complete convergence theorems for dependent random fields via application of Fuk-Nagaev inequality, Convergence properties for weighted sums of NSD random variables, A note on the rate of strong convergence for weighted sums of arrays of rowwise negatively orthant dependent random variables, Complete convergence and complete moment convergence for extended negatively dependent random variables, Complete moment convergence forweighted sums of extended negatively dependent random variables, Exponential probability inequalities for WNOD random variables and their applications

Cites Work

• A note on complete convergence for arrays
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• Negative association of random variables, with applications
• More on complete convergence for arrays
• On complete convergence for arrays
• On the Strong Rates of Convergence for Arrays of Rowwise Negatively Dependent Random Variables
• Some Concepts of Dependence
• Complete Convergence and the Law of Large Numbers
• On a Theorem of Hsu and Robbins