由Chvátal定理引出的关于Weibull分布和Pareto分布的研究OACSTPCD
A STUDY ON THE WEIBULL AND PARETO DISTRIBUTIONS MOTIVATED BY CHVÁTAL'S THEOREM
受Chvátal定理的启发,本文研究了随机变量不超过其期望的概率的下确界问题.利用分析的方法,我们得到了当随机变量的分布为Weibull分布或Pareto分布时该随机变量不超过其期望的概率的下确界.
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.
李诚;胡泽春;周倩倩
四川大学数学学院,四川成都 610065南京邮电大学理学院,江苏南京 210023
数学
hvátal定理Weibull分布Pareto分布
Chvátal's theoremWeibull distributionPareto distribution
《数学杂志》 2024 (003)
195-202 / 8
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).
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