随机变量的统计收敛性

Statistical convergence of random variables

将FRIDY J A关于实数序列的统计收敛的概念推广到了随机变量序列上,并给出了a.s.收敛,依概率收敛,依分布收敛相对应的统计收敛的定义,给出了统计a.s.收敛、统计依概率收敛的充要条件或充分条件.

The concept of statistical convergence in FRIDY J A et al to the random variables was generated. And the concepts of statistical a.s. convergence, statistical convergence in probability, and statistical convergence in distribution respect to a. s. convergence, convergence in probability, and convergence in distribution was given. And some sufficient and/or necessary conditions are also given.