ALMOST SURE CONVERGENCE FOR WEIGHTED SUMS OF NEGATIVELY ORTHANT DEPENDENT RANDOM VARIABLES

Abstract

For weighted sum of a sequence {X, X<TEX>$\_{n}$</TEX>, n <TEX>$\geq$</TEX> 1} of identically distributed, negatively orthant dependent random variables such that |r| > 0, has a finite moment generating function, a strong law of large numbers is established.