Generalized exponential distribution: Existing results and some recent developments
- 作者：Rameshwar D. Gupta ; Debasis Kundu
- 关键词：Bayes estimator ; Density function ; Fisher information ; Hazard function ; Maximum likelihood estimator ; Order statistics ; Stress-Strength model
- 刊名：Journal of Statistical Planning and Inference
- 出版年：2007
- 期刊代码：36_03783758
- 类别：mt
- 出版时间：1 November 2007
- 卷：137
- 期：11
- 页码：3537-3547
- 文件大小：194 K
摘要
Mudholkar and Srivastava [1993. Exponentiated Weibull family for analyzing bathtub failure data. IEEE Trans. Reliability 42, 299–302] introduced three-parameter exponentiated Weibull distribution. Two-parameter exponentiated exponential or generalized exponential distribution is a particular member of the exponentiated Weibull distribution. Generalized exponential distribution has a right skewed unimodal density function and monotone hazard function similar to the density functions and hazard functions of the gamma and Weibull distributions. It is observed that it can be used quite effectively to analyze lifetime data in place of gamma, Weibull and log-normal distributions. The genesis of this model, several properties, different estimation procedures and their properties, estimation of the stress-strength parameter, closeness of this distribution to some of the well-known distribution functions are discussed in this article.