Exponentiated Transmuted Power Function Distribution: Theory & Applications

Year 2018, Volume: 31 Issue: 2, 660 - 675, 01.06.2018

Rana Usman Muhammad Ahsan Ul Haq Nurbanu Bursa Gamze Özel

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

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