论文标题
PHR和PRHR分布的一般家族的随机比较研究
Stochastic comparison study of the general family of PHR and PRHR distributions
论文作者
论文摘要
在本文中,我们已经获得了参数的条件,这些参数导致分散订购和星星顺序从比例危害率和比例反转危险率家族的两组随机变量组中。属于多进出模型的观测值下的N非依赖性随机变量作为推论。获得的条件涉及与衰老相对应的参数和生命分布类别之间的简单不平等。还通过改变位置参数来研究了基于Archimedean Copula的样品最小和最大依赖性的一些随机排序结果。
In this paper, we have obtained conditions on parameters that result in dispersive ordering and star ordering among two unequal sets of random variables from Proportional hazard rate and Proportional reversed hazard rate family of distributions. The n-independent random variables under observation belonging to a multiple-outlier model are given as corollary. The conditions obtained involve simple inequalities among the parameters and class of life distribution corresponding to ageing. Some stochastic ordering results for sample minimum and maximum with dependency based on Archimedean copula has also been studied by varying the location parameters.