期望与方差的定义

(X)为随机变量, (p(x))为它的概率密度或质量函数.

期望

[mu = E(X) = int_{-infty}^{{+infty}} x p(x) dx ]

方差

[sigma^2 = D(X) = int_{-infty}^{{+infty}} (x - mu)^2 p(x)dx \= int_{-infty}^{{+infty}} x^2 p(x) dx + int_{-infty}^{{+infty}} mu^2 p(x) dx - 2mu int_{-infty}^{{+infty}} x p(x) = E(X^2) - E^2(X) ]

(sigma)为标准差.

原文地址:https://www.cnblogs.com/dengdan890730/p/6169786.html