The Poisson Transmuted-G Family of Distributions: Its Properties and Applications

Abstract: In this paper introduces a new family of continuous distributions namely the Poison transmuted-G family of distribution is proposed by inducing two addition parameter on the base line G distribution. Some of its mathematical properties including explicit expressions for the moments generating function, order statistics, Probability weighted moments, stress-strength reliability, residual life, reversed residual life, R\'enyi entropy and mean deviation are derived. Some special models of the new family are listed. Estimation of the model parameters by the maximum likelihood method is discussed. The advantage of the proposed family in data fitting is illustrated by means of two applications to failure time data set.