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Stochastic comparisons and ageing properties of residual lifetime mixture models
Mathematical Methods of Operations Research ( IF 0.9 ) Pub Date : 2021-08-13 , DOI: 10.1007/s00186-021-00750-0
Arijit Patra 1 , Chanchal Kundu 1
Affiliation  

In this article, we enhance the study of stochastic comparisons and ageing properties of residual lifetime mixture models. To this aim, first we perform stochastic comparisons of two different mixture models under likelihood ratio, hazard rate, mean residual life and variance residual life orders having different baseline distributions as well as two different mixing distributions. Then, we develop some sufficient conditions which lead to the stochastic comparisons of these mixture models based on reversed hazard rate, mean inactivity time and variance inactivity time orders. Furthermore, we show that increasing likelihood ratio, increasing failure rate, decreasing mean residual life, increasing variance residual life and decreasing variance residual life classes are preserved under the formation of the model. Few applications in reliability engineering are also investigated.



中文翻译:

剩余寿命混合模型的随机比较和老化特性

在本文中,我们加强了对剩余寿命混合模型的随机比较和老化特性的研究。为此,首先我们在似然比、风险率、平均剩余寿命和方差剩余寿命顺序下对具有不同基线分布以及两种不同混合分布的两种不同混合模型进行随机比较。然后,我们开发了一些充分条件,导致基于反向风险率、平均不活动时间和方差不活动时间顺序对这些混合模型进行随机比较。此外,我们表明,在模型的形成下,增加似然比、增加故障率、减少平均剩余寿命、增加方差残余寿命和减少方差残余寿命类别。

更新日期:2021-08-17
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