Generalized logistic frailty model

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• 作者：Chin-Diew Lai ; Muhyiddin Izadi
• 关键词：Deceleration ; Gompertz model ; Hazard rate ordering ; Modified bathtub ; Modified unimodal
• 刊名：Statistics and Probability Letters
• 出版年：2012
• 出版时间：November, 2012
• 年：2012
• 卷：82
• 期：11
• 页码：1969-1977
• 全文大小：422 K

文摘

We propose a new reliability model which is a generalization of the logistic frailty model first considered by for fitting human mortality data. Essentially, a shape parameter is added to the existing model providing more flexibility in modeling lifetime data. Several model properties such as the survival function, density and the hazard rate are investigated. In particular, we show that the model is very versatile; able to take a variety of non-monotonic hazard rate shapes. Parameters estimation is also considered. Two well known survival data sets are satisfactorily fitted by the proposed distribution and its goodness-of-fit is compared.