B值随机变量阵列加权和完全收敛性的某些结果

A Result on the Complete Convergence for Weighted sums of Arrays of B-valued Random Variables

设{Xni:i≥1,n≥1)为行间独立的B值r.v.阵列,g(x)是指数为1/p的正则变化函数,r>1,{ani:i≥1,n≥1}为实数阵列,本文得到了使成立的条件。

let {Ani : i≥1,n ≥ 1} be an array of rowwise independent B-valued random variables and let g(x) be a regular varying function with index 1/p(p > 0). Let {ani : i ≥ 1,n ≥ 1} be an array of real numbers. Let r > 1. The sufficient conditions such that are obtained.