The property in convergence of sequence of number was imported to convergence in probability and proved it in this paper.

主要把数列收敛的一些性质引进到随机变量依概率收敛中来，并加以证明。

youdao

The paper gives four kinds of convergence of sequence of random variables in probability theory, proves the relations between them.

给出了概率论中所用到的随机变量列的四种收敛性，证明了它们之间的关系。

youdao

This paper studies the concept of infinitesimal and infinity, and discusses the convergence of sequence, function and series with the estimation of the orders.

文章通过对无穷小量与无穷大量的阶的概念研究，用阶的估计讨论数学分析中数列、函数及级数收敛问题，也为收敛问题深入研究提供了一种方法。

youdao