连续型随机变量函数的期望和方差的近似计算

The Approximate Calculation of the Expectation and Variance of Continuous Random Variable Functions

本文利用泰勒公式将连续型随机变量函数的期望和方差的计算 ,由积分运算转化为求导运算。给出了近似计算公式 ,从而解决了可 (偏 )

The calculation of the expectation and variance of continuous random variable functions is traditionally completed through integral operations. This paper holds that the integral operation can be transformed into differential operation to serve the same purpose by employing Taylor's formula. It presents the corresponding formula for approximate calculation and has solved the problem of the calculation of the expectation and variance of derivative/partially derivative continuous random functions.