A Two-Parameter Distribution Obtained by Compounding the Generalized Exponential and Exponential Distributions

被引:0
作者
Božidar V. Popović
Miroslav M. Ristić
Gauss M. Cordeiro
机构
[1] University of Montenegro,Faculty of Philosophy
[2] University of Niš,Faculty of Sciences and Mathematics
[3] Universidade Federal de Pernambuco,Departamento de Estatística
来源
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词
Compounding model; Exponential distribution; Generalized exponential distribution; Identifiability; 62E15; 62P10; 62F10;
D O I
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中图分类号
学科分类号
摘要
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.
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页码:2935 / 2949
页数:14
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