关于任意随机序列级数的强收敛性

Strong Convergence Theorems for Arbitrary Stochastic Sequence Series

为了建立一类任意随机序列级数的强极限定理,利用鞅差序列级数收敛定理主要讨论了在p≥t(1≤t≤2)下任意随机序列级数的强收敛性,进一步完善了该序列的一个强极限定理.作为推论得到了p≥2下一类任意随机序列级数的强收敛性,推广了某些经典的鞅差序列级数收敛性的一个结果.

The paper studys the strong convergence theorems for the arbitrary stochastic sequences by the convergence theorem for martingale-difference sequences. As the conditional p≥t（1≤t≤2）, A strong limit theorem is obtained . As corollaries, We obtained the result on some classical martingale-difference sequence convergence which has been known as the particular case of the result of this paper.