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| 服从Cauchy分布的随机变量的随机比较 | |
| 引用本文： | 梁青. 服从Cauchy分布的随机变量的随机比较[J]. 海南师范大学学报(自然科学版), 2012, 25(4): 370-373 |
| 作者姓名： | 梁青 |
| 作者单位： | 海南师范大学数学与统计学院,海南海口,571158 |
| 摘 要： | 给出了两个相互独立的服从Cauchy分布,但分布所含参数不同的随机变量的随机比较,其中包括一般随机序,危险率序和似然比序,也给出了两组相互独立服从Cauchy分布但分布所含参数不同的随机变量的极值在一般随机序下的大小关系. |
| 关 键 词： | 随机序 似然比序 危险率序 Schur凹 |
Stochastic Comparisons of Random Variables from Cauchy Distribution |
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| LIANG Qing. Stochastic Comparisons of Random Variables from Cauchy Distribution[J]. Journal of Hainan Normal University:Natural Science, 2012, 25(4): 370-373 | |
| Authors: | LIANG Qing |
| Affiliation: | LIANG Qing ( College of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China ) |
| Abstract: | Two independent random variables from Cauchy distribution whose parameters are different are compared in the usual stochastic order, likelihood ratio order and hazard ratio order. We also give the relationship of the order statistics in the usual stochastic order sense that come from two groups of independent random variables from Cauchy distribution whose parameters are different. |
| Keywords: | stochastic order likelihood ratio order hazard ratio order Schur concave |
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