数学
威布尔分布
自然指数族
应用数学
指数函数
估计员
指数分布
指数族
伽马分布
广义贝塔分布
分布(数学)
费希尔信息
最大似然
指数威布尔分布
统计
配电装置
数学分析
作者
Gauss M. Cordeiro,Edwin M. M. Ortega,Artur J. Lemonte
标识
DOI:10.1080/00949655.2013.797982
摘要
In this paper, we propose a new three-parameter model called the exponential–Weibull distribution, which includes as special models some widely known lifetime distributions. Some mathematical properties of the proposed distribution are investigated. We derive four explicit expressions for the generalized ordinary moments and a general formula for the incomplete moments based on infinite sums of Meijer's G functions. We also obtain explicit expressions for the generating function and mean deviations. We estimate the model parameters by maximum likelihood and determine the observed information matrix. Some simulations are run to assess the performance of the maximum likelihood estimators. The flexibility of the new distribution is illustrated by means of an application to real data.
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