数学杂志2024,Vol.44Issue(3):195-202,8.
由Chvátal定理引出的关于Weibull分布和Pareto分布的研究
A STUDY ON THE WEIBULL AND PARETO DISTRIBUTIONS MOTIVATED BY CHVÁTAL'S THEOREM
摘要
Abstract
Motivated by Chvátal's theorem,in this paper,we consider the infimum value problem on the probability that a random variable is at most its expectation.By employing the analytical method,the results for a random variable with the Weibull distribution or the Pareto distribution are obtained.关键词
hvátal定理/Weibull分布/Pareto分布Key words
Chvátal's theorem/Weibull distribution/Pareto distribution分类
数理科学引用本文复制引用
李诚,胡泽春,周倩倩..由Chvátal定理引出的关于Weibull分布和Pareto分布的研究[J].数学杂志,2024,44(3):195-202,8.基金项目
Supported by the National Natural Science Foundation of China(12171335,12301603),the Science Development Project of Sichuan University(2020SCUNL201)and the Scientific Foundation of Nanjing University of Posts and Telecommunications(NY221026). (12171335,12301603)