COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM VARIABLES

Title & Authors
COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM VARIABLES
Hu, Tien-Chung; Sung, Soo-Hak; Volodin, Andrei;

Abstract
Under some conditions on an array of rowwise independent random variables, Hu et at. (1998) obtained a complete convergence result for law of large numbers with rate {a$\small{\_}$n/, n $\small{\geq}$ 1} which is bounded away from zero. We investigate the general situation for rate {a$\small{\_}$n/, n $\small{\geq}$ 1) under similar conditions.
Keywords
Arrays;rowwise independence;sums of independent random variables;complete convergence;Rademacher type p Banach space;random elements;
Language
English
Cited by
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