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A Two-Parameter Distribution Obtained by Compounding the Generalized Exponential and Exponential Distributions
Authors:Popović  Božidar V  Ristić  Miroslav M  Cordeiro  Gauss M
Institution:1.Faculty of Philosophy, University of Montenegro, Nikšić, Montenegro
;2.Faculty of Sciences and Mathematics, University of Niš, Niš, Serbia
;3.Departamento de Estatística, Universidade Federal de Pernambuco, Recife, PE, Brazil
;
Abstract:

We introduce a new two-parameter lifetime distribution obtained by compounding the generalized exponential and exponential distributions. We assume that the shape parameter of the generalized exponential distribution is a random variable having the exponential distribution. The shapes of the density and hazard rate functions are derived. The model parameters are estimated by maximum likelihood, and an application of the proposed distribution is presented.

Keywords:
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