二维曲线型随机变量函数概率分布的计算  

Calculation of probability distribution of two-dimensional curved random variable′ function

作　　者：涂振坤[1] 宁荣健[1] TU Zhenkun;NING Rongjian(School of Mathematics,Hefei University of Technology,Hefei 230601,China)

机构地区：[1]合肥工业大学数学学院,安徽合肥230601

出　　处：《高师理科学刊》2024年第11期77-80,共4页Journal of Science of Teachers＇College and University

基　　金：安徽省省级一流课程项目(2022xxkc104);安徽省省级教学研究项目(2023jyxm0058);合肥工业大学创新创业教学改革研究项目(JYCX2209)。

摘　　要：利用转换法给出二维曲线型随机变量函数概率分布的求解方法,指出在特殊情形下其与一维连续型随机变量函数概率分布的关系,并举例说明了求解方法的有效性.所给结果为二维曲线型随机变量的相关研究提供了新思路,具有一定的教学参考价值.Using the transformation method,a solution method for the probability distribution of two-dimensional curved random variable′ function is proposed.The relationship between this method and the probability distribution of one-dimensional continuous random variable functions in special cases is pointed out,and the effectiveness of the solution method is illustrated with examples.The results provide new ideas for the related research of two-dimensional curved random variables and have certain teaching reference value.

关 键 词：二维连续型随机变量 二维曲线型随机变量 概率分布 密度函数 曲线积分 

分 类 号：O211.3[理学—概率论与数理统计] G642.0[理学—数学]