连续随机变量函数定理的推广  

Promotion of the Continuous RandomVariable Function Theorem

作　　者：王凡彬[1] 

机构地区：[1]内江师范学院数学与信息科学学院//四川省高等学校数值仿真重点实验室,四川内江641100

出　　处：《内江师范学院学报》2013年第10期18-20,共3页Journal of Neijiang Normal University

基　　金：国家级数学与应用数学专业综合改革项目(O1249-1);省级数值仿真与数学实验教学示范中心项目(O1247);四川省高等学校数值仿真重点实验室重点科研项目(09NJZZ001)

摘　　要：分析了现有的一个连续随机变量函数定理的优缺点.在此基础上,对该定理进行推广,得到的新定理克服了原定理需要函数是严格单调的这一苛刻条件,推广到逐段单调函数,由此拓广了应用范围.为求解连续随机变量的函数的密度函数,提供了一个新的工具.A probe is made into the continuous random variable function theorem about its advantages and disadvanta- ges, on basis of which, the theorem is promoted, and the new theorem thus produced successfully solves the problem that the original theorem is long blamed for its rigid demand of its functions being a strictly monotonic harsh one and thus helps generalize the theorem to piecewise monotone functions, whereby the range of applications has been greatly broadened, and it finds us a new tool for solving the density function of a continuous random variable function.

关 键 词：连续随机变量 定理 密度函数 推广 

分 类 号：O211.5[理学—概率论与数理统计]