数学杂志2024，Vol.44Issue(4)：309-316,8.
由Chvátal定理引出的关于一些无穷可分分布的概率函数的下确界
THE INFIMUM VALUES OF THE PROBABILITY FUNCTIONS FOR SOME INFINITELY DIVISIBLE DISTRIBUTIONS MOTIVATED BY CHVÁTAL'S THEOREM
摘要
Abstract
Motivated by Chvátal's theorem,in this paper,we consider the infimum value of the probability P(X ≤ κE[X]),where κ is a positive real number,and X is a random variable.By employing the analytical method,the results for a random variable whose distribution belongs to some infinitely divisible distributions including the inverse Gaussian,log-normal,Gumbel and logistic distributions are obtained.关键词
Chvátal定理/无穷可分分布/逆高斯分布/对数正态分布/Gumbel分布/Logistic分布Key words
Chvátal's theorem/infinitely divisible distribution/inverse gaussian distribu-tion/log-normal distribution/gumbel distribution/logistic distribution分类
数理科学引用本文复制引用
胡泽春,陆鹏,周倩倩,周兴旺..由Chvátal定理引出的关于一些无穷可分分布的概率函数的下确界[J].数学杂志,2024,44(4):309-316,8.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）
