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In this paper we defined a new lifetime model called the the Exponentiated additive Weibull (EAW) distribution. The proposed distribution has a number of well-known lifetime distributions as special sub-models, such as the additive Weibull, exponentiated modified Weibull, exponentiated Weibull and generalized linear failure rate distributions among others. We obtain quantile, moments, moment generating functions, incomplete moment, residual life and reversed Failure Rate Functions, mean deviations, Bonferroni and Lorenz curves. The method of maximum likelihood is used for estimating the model parameters. Applications illustrate the potentiality of the proposed distribution.


Exponentiated additive Weibull Moments Modified Weibull Distribution Maximum likelihood estimation.

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Author Biography

Ibrahim Elbatal, 1. Department of Mathematics and Statistics, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia 2. Institute of Statistical Studies and Research Department of Mathematical Statistics, Cairo University, Egypt

Professor of Mathematical Statistics Department
How to Cite
Aljouiee, A., Elbatal, I., & Al-Mofleh, H. (2018). A New Five - Parameter Lifetime Model: Theory and Applications. Pakistan Journal of Statistics and Operation Research, 14(2), 403-420.