论文标题
来自依赖和异源修饰的比例危害率观察的二阶统计的随机比较
Stochastic Comparisons of Second-Order Statistics from Dependent and Heterogenous Modified Proportional Hazard Rate Observations
论文作者
论文摘要
在本手稿中，我们研究了具有修改的比例危害率模型的依赖或独立观察的二阶统计数据的随机比较。首先，我们从依赖和异构观察结果中建立了二阶统计的常规随机顺序。其次，从独立观察结果的二阶统计数据的危险率顺序中提供了足够的条件。然后，我们研究了两组独立的多层修改的比例危害率观察结果引起的二阶统计量的危险率顺序。最后，给出了一些数值示例来说明理论发现。
In this manuscript, we study stochastic comparisons of the second-order statistics from dependent or independent observations with modified proportional hazard rates models. First, we establish the usual stochastic order of the second-order statistics from dependent and heterogeneous observations. Second, sufficient conditions are provided in the hazard rate order of the second-order statistics from independent observations. Then, we investigate the hazard rate order of the second-order statistics arising from two sets of independent multiple-outlier modified proportional hazard rates observations. Finally, some numerical examples are given to illustrate the theoretical findings.
