A New Generalized Exponential Geometric Distribution

作者：Bidram Hamid^*; Behboodian Javad; Towhidi Mina

来源：Communications in Statistics - Theory and Methods, 2013, 42(3): 528-542.

DOI：10.1080/03610926.2011.579703

• Bathtub failure rate
• Compound distribution
• Extended exponential-geometric distribution
• Goodness of fit
• Maximum likelihood estimation

In this article, another version of the generalized exponential geometric distribution different to that of Silva et al. () is proposed. This new three-parameter lifetime distribution with decreasing, increasing, and bathtub failure rate function is created by compounding the generalized exponential distribution of Gupta and Kundu () with a geometric distribution. Some basic distributional properties, moment-generating function, rth moment, and Renyi entropy of the new distribution are studied. The model parameters are estimated by the maximum likelihood method and the asymptotic distribution of estimators is discussed. Finally, an application of the new distribution is illustrated using the two real data sets.

• 出版日期2013-2-1