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COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF SEQUENCES OF NEGATIVELY DEPENDENT RANDOM VARIABLES

COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF SEQUENCES OF NEGATIVELY DEPENDENT RANDOM VARIABLES

This paper is a theoretical contribution on the complete convergence of partial sums. Let $ \lbrace X_n, n \geq 1 \rbrace$ be a sequence of non negatively dependent random, which is stochastically dominated by a random variable $X$ and $\lbrace \ \Psi_{ni} ; 1\leq i \leq n, n\geq 1\rbrace $ …