2010•Journal of Inequalities and ApplicationsOpen access

A Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables

Qunying Wu

Abstract

Applying the moment inequality of negatively dependent random variables which was obtained by Asadian et al. (2006), the strong limit theorem for weighted sums of sequences of negatively dependent random variables is discussed. As a result, the strong limit theorem for negatively dependent sequences of random variables is extended. Our results extend and improve the corresponding results of Bai and Cheng (2000) from the i.i.d. case to ND sequences.

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Key concepts: Mathematics, Random variable, Limit (mathematics), Central limit theorem, Moment (physics), Exchangeable random variables, Combinatorics, Convergence of random variables