Strong laws of large numbers for weighted sums of extended negatively dependent random variables under sub-linear expectations

摘要

In this paper, we study strong laws of large numbers for weighted sums of extended negatively dependent random variables under sub-linear expectation space. As an application, several results on strong laws of large numbers of Sigma(kn)(i=1) a(ni)X(i) with the condition of k(n) up arrow infinity and k(n) = infinity for the double arrays of positive real numbers {a(ni); 1 <= i < k(n), n >= 1} and sequences of extended negatively dependent random variables have been established in sub-linear expectations. The main results obtained in this article are the extensions of strong laws of large numbers for weighted sums of negatively dependent random variables under the traditional probability space.

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