论文标题

脆弱和弹性模型的一些随机比较结果

Some stochastic comparison results for frailty and resilience models

论文作者

Panja, Arindam, Kundu, Pradip, Pradhan, Biswabrata

论文摘要

脆弱和弹性模型提供了一种通过随机变量(分别称为脆弱和弹性随机变量)引入危险和逆转危险率建模的方法,以说明实验单元之间无法观察或无法解释的异质性。本文根据基线随机变量的某些衰老特性,研究了脆弱和弹性随机变量对基线随机变量的影响。提供相关示例以说明结果。一些结果用现实数据进行了说明。

Frailty and resilience models provide a way to introduce random effects in hazard and reversed hazard rate modeling by random variables, called frailty and resilience random variables, respectively, to account for unobserved or unexplained heterogeneity among experimental units. This paper investigates the effects of frailty and resilience random variables on the baseline random variables using some shifted stochastic orders based on some ageing properties of the baseline random variables. Relevant examples are provided to illustrate the results. Some results are illustrated with real-world data.

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