条件独立的性质

Some properties of Condi it ional indendence

本文引入了条件独立的概念并研究其性质。得到事件之间相互独立的充要条件和随机变量条件独立的充要条件。最后,给出在条件独立的条件下,积的条件期望与和的条件方差的公式。

In this paper, We investigate some properties of Conditional independence. The sufficient and necessary conditions for the independence of events and Conditional independence random Variables, are obtained, respctively. Some examples about the application of conditional independence to conditional expectation and variance are given.