An exponentiated exponential binomial distribution with application

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• 作者：Hassan S. Bakouch^a ; ^{hnbakouch@yahoo.com} ; Miroslav M. Ristić ; ^b ; ^{miristic@ptt.rs} ; A. Asgharzadeh^c ; ^{a.asgharzadeh@umz.ac.ir} ; L. Esmaily^c ; ^{esmaily.laila@gmail.com} ; Bander M. Al-Zahrani^a ; ^{bmalzahrani@kau.edu.sa}
• 关键词：62E99
• 刊名：Statistics and Probability Letters
• 出版年：2012
• 期刊代码：56_01677152
• 类别：mt
• 出版时间：June, 2012
• 卷：82
• 期：6
• 页码：1067-1081
• 文件大小：887 K

摘要

A new continuous distribution is introduced by compounding exponentiated exponential and binomial distributions, named as exponentiated exponential binomial (EEB) distribution. This distribution has the ability to model lifetime data with increasing, decreasing and upside-down bathtub shaped failure rates. Moreover, the zero-truncated binomial distribution used in compounding is overdispersed. Some properties of the distribution are investigated. Estimation and inference procedure for the distribution parameters are discussed. An application to real data demonstrates that the EEB distribution can provide a better fit than a recent class of lifetime distributions.