Exponentiated Transmuted Power Function Distribution: Theory & Applications

Authors : Rana USMAN, Muhammad Ahsan Ul HAQ, Nurbanu BURSA, Gamze ÖZEL

Pages : 660-675

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Publication Date : 2018-06-01

Article Type : Research Paper

Abstract :This paper introduces a new generalization of Transmuted Power Function distribution named as Exponentiated Transmuted Power Function distribution with its fundamental properties. The expressions of failure and survival rate functions on the basis of their graphs are provided. We compute moments, moment generating function, quantile function. Then, Rényi entropy is discussed and the expressions of the order statistics are derived.  Parameters of the proposed distribution are estimated using the maximum likelihood method. Real lifetime data application shows the flexibility of the proposed distribution and its better fit as compared to some existing models.
Keywords : Transmuted power function distribution, power function distribution, Rényi entropy, maximum likelihood estimation