The Complete Convergence And Strong Law Of Large Numbers For PA Random Variables Sequence

In this paper, the strong convergence for PA random variables sequences is discussed.By restricting the covariance structure, some theorems of the complete convergence and strong law of large numbers for PA random variables sequences are obtained by applying the properties and inequalities of PA random variables.This paper includes five chapters. In the first chapter,the relative background of PA random variables sequences is given. The second one introduces the concepts and related properties of PA random variables sequences. In the following two chapters the resultes of PA random variables sequences are obtained. In the last chapter, the main results are given.