SOME LAWS OF LARGE NUMBERS FOR DOUBLE ARRAYS OF RANDOM UPPER SEMICONTINUOUS FUNCTIONS

Abstract

In this paper, we introduce some laws of large numbers for double array of level-wise negatively associated random upper semicontinuous functions under various settings. We also establish some maximal inequalities which form
Rosenthal’s type and H¡jek-R†nyi’s type for 2-dimensional structure. Our results are extensions for corresponding ones in the literature .