2010Journal of Inequalities and ApplicationsOpen access

Complete Convergence for Negatively Dependent Sequences of Random Variables

Qunying Wu

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Abstract

We study the complete convergence for negatively dependent sequences of random variables. As a result, we extend some complete convergence theorems for independent random variables to the case of negatively dependent random variables without necessarily imposing any extra conditions.

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We study the complete convergence for negatively dependent sequences of random variables. As a result, we extend some complete convergence theorems for independent random variables to the case of negatively dependent random variables without necessarily imposing any extra conditions.

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Available abstract

We study the complete convergence for negatively dependent sequences of random variables. As a result, we extend some complete convergence theorems for independent random variables to the case of negatively dependent random variables without necessarily imposing any extra conditions.

Key concepts: Mathematics, Proofs of convergence of random variables, Convergence of random variables, Convergence (economics), Random variable, Sum of normally distributed random variables, Variables, Exchangeable random variables

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