| 摘要: |
| 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. |
| 关键词: Chvátal定理 Weibull分布 Pareto分布 |
| DOI： |
| 分类号:O211 |
| 基金项目: |
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| A STUDY ON THE WEIBULL AND PARETO DISTRIBUTIONS MOTIVATED BY CHVÁTAL'S THEOREM |
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LI Cheng1, HU Ze-chun1, ZHOU Qian-qian2
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1.College of Mathematics, Sichuan University, Chengdu 610065, China;2.School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
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| 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. |
| Key words: Chvátal's theorem Weibull distribution Pareto distribution |
