Almost Sure Convergence of Weighted Sums for Negatively Associated Random Variables

DOI10.1080/03610926.2013.841921zbMath1316.60043OpenAlexW2035437476MaRDI QIDQ2876233

Yu Miao, Shou-Fang Xu

Publication date: 18 August 2014

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2013.841921

zbMATH Keywords

almost sure convergenceweighted sumsnegatively associated random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (4)

Strong law of large numbers for weighted sums of random variables and its applications in EV regression models ⋮ Strong convergence for weighted sums of WOD random variables and its application in the EV regression model. ⋮ On the strong convergence properties for weighted sums of negatively orthant dependent random variables ⋮ Some types of convergence for negatively dependent random variables under sublinear expectations

Cites Work

• A remark on almost sure convergence of weighted sums
• A note on the almost sure convergence of sums of negatively dependent random variables
• Limiting behavior of weighted sums of independent random variables
• Complete convergence and almost sure convergence of weighted sums of random variables
• Moment inequalities and weak convergence for negatively associated sequences
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• The law of iterated logarithm for negatively associated random variables
• Complete convergence for weighted sums of NA sequences
• Negative association of random variables, with applications
• Almost sure convergence theorems of weighted sums of random variables
• On the convergence of moving average processes under dependent conditions
• Some Convergence Theorems for Independent Random Variables

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