The transmuted exponentiated Weibull geometric distribution: Theory and applications

Authors : Abdus SABOOR, İbrahim ELBATAL, Gauss M CORDEİRO

Pages : 973-987

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Publication Date : 2016-06-01

Article Type : Research Paper

Abstract :A generalization of the exponentiated Weibull geometric model called the transmuted exponentiated Weibull geometric distribution is proposed and studied. It includes as special cases at least ten models. Some of its structural properties including order statistics, explicit expressions for the ordinary and incomplete moments and generating function are derived. The estimation of the model parameters is performed by the maximum likelihood method. The use of the new lifetime distribution is illustrated with an example. We hope that the proposed distribution will serve as a good alternative to other models available in the literature for modeling positive real data in several areas.
Keywords : Exponentiated Weibull geometric distribution, Goodnessoft statistic, Maximum likelihood estimation, Moment, Order statistic, Survival func tion, Transmutation map