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arXiv 2209.08261math.STstat.TH
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脆弱性和恢复力模型的一些随机比较结果

Some stochastic comparison results for frailty and resilience models

Arindam Panja, Pradip Kundu, Biswabrata Pradhan

摘要:

脆弱性和弹性模型提供了一种在危险和反向危险率建模中引入随机效应的方法,通过随机变量(分别称为脆弱性和弹性随机变量)来解释实验单元之间未观察到或无法解释的异质性。基于基线随机变量的老化特性,采用移位随机序方法研究了脆弱性和恢复力随机变量对基线随机变量的影响。文中给出了相关的算例来说明结果。一些结果与现实世界的数据。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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