基于连续型随机变量性质的积分运算公式  

Integral Operation Formulas Based on the Properties of Continuous Random Variables

作　　者：许岷 

机构地区：[1]北京工业大学数学统计学与力学学院,北京

出　　处：《应用数学进展》2024年第8期3837-3844,共8页Advances in Applied Mathematics

摘　　要：面向工科类和经济类学生的概率论与数理统计教学实践中,积分运算是教学的难点。本文利用连续型随机变量的性质,推导了基于正态分布、伽马分布和贝塔分布的积分运算公式,解决某些复杂函数的积分运算问题,并将其应用于贝叶斯统计中。In the teaching practice of probability theory and mathematical statistics for engineering and economics students, the integral operation is difficult for students. By using the properties of continuous random variables, this paper derives several common integral operation formulas based on normal, gamma and beta distributions, computes the integrals of complex functions, and applies them to Bayesian statistics.

关 键 词：连续型随机变量 积分运算 贝叶斯统计 

分 类 号：O17[理学—数学]