ABSTRACT In this paper, relative stochastic comparisons of weighted frailty models with respect to relative hazard rate and relative mean residual life orders are considered. Some closure properties of the model in two relative stochastic orders sense are presented. Under some appropriate assumptions, we show how the variation of the frailty variable and the variation of the baseline variable translate into these two relative stochastic orders between the overall population variables.

中文翻译：

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加权衰弱模型的相对随机阶数

摘要在本文中，考虑了加权衰弱模型在相对危险率和相对平均剩余寿命顺序方面的相对随机比较。给出了模型在两个相对随机阶次意义上的一些闭合特性。在一些适当的假设下，我们展示了脆弱性变量的变化和基线变量的变化如何转化为总体人口变量之间的这两个相对随机顺序。