The Strong Law of Large Numbers for Negatively Dependent Generalized Gaussian Random Variables

摘要

In this paper we study the strong law of large numbers for the weighted sums T{sub}n = ∑(a{sub}(nk)X{sub}k)(k from 1 to ∞) where {X{sub}n, n ≥ 1} is a sequence of negative dependent generalized Gaussian random variables under the condition that E[X{sub}n||J{sub}(n-l)] = 0, F{sub}n = υ(X{sub}1, ....,X{sub}n) and a{sub}(nk) is an array of nonnegative real numbers such that for each n ≥ 1, A{sub}n = ∑((a{sub}(nk)){sup}2)<∞ (k from 1 to ∞).