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General Proportional Reversed Hazard Rate Frailty Model and It's Applications in the Analysis of Lung Cancer Data
Jafar Ahmadi , Fatemeh Hooti
Abstract:   (72 Views)
In survival studies‎, ‎frailty models are used to explain the unobserved heterogeneity hazards‎. ‎In most cases‎, ‎they are usually considered as the product of the function of the frailty random variable and baseline hazard rate‎. ‎Which is useful for right censored data‎. ‎In this paper‎, ‎the frailty model is explained as the product of the frailty random variable and baseline reversed hazard rate‎, ‎which can be used for left censored data‎. ‎The general reversed hazard rate frailty model is introduced and the distributional properties of the proposed model and lifetime random variables are studied‎. ‎Some dependency properties between lifetime random variable and frailty random variable are investigated‎. ‎It is shown that some stochastic orderings preserved from frailty random variables to lifetime variables‎. ‎Some theorems are used to obtain numerical results‎. ‎The application of the proposed model is discussed in the analysis of left censored data‎. ‎The results are used to model lung cancer data‎. 
Keywords: ‎Frailty Models‎, ‎Reversed Hazard Rate Model‎, ‎Left Censored‎, ‎Stochastic Orders‎, ‎Likelihood Function.
Full-Text [PDF 6258 kb]   (16 Downloads)    
Type of Study: Research | Subject: Reliability
Received: 2018/06/18 | Accepted: 2019/01/8
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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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