Survival and lifetime data analysis with a flexible class of distributions |
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Authors: | Francisco J Rubio Yili Hong |
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Institution: | 1. Department of Statistics, University of Warwick, Coventry, UK;2. Department of Statistics, Virginia Tech, Blacksburg, VA, USA |
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Abstract: | We introduce a general class of continuous univariate distributions with positive support obtained by transforming the class of two-piece distributions. We show that this class of distributions is very flexible, easy to implement, and contains members that can capture different tail behaviours and shapes, producing also a variety of hazard functions. The proposed distributions represent a flexible alternative to the classical choices such as the log-normal, Gamma, and Weibull distributions. We investigate empirically the inferential properties of the proposed models through an extensive simulation study. We present some applications using real data in the contexts of time-to-event and accelerated failure time models. In the second kind of applications, we explore the use of these models in the estimation of the distribution of the individual remaining life. |
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Keywords: | AFT model composite models hazard function logarithmic transformation remaining life |
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