17746

Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables.

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Let {X } n be a sequence of arbitrary random variables with EXn = 0 and EX^2 n < (infinity) , for every n >= 1 and {ank} be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums (sigma)n j=1 anj Xj,under some conditions on a nj and sequence {X n, n>= 1}.

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