Abstract
In this paper, we introduced a new extension model of distribution. This model is the Power weighted Gompertz distribution (PWG), it is generated by the power transformation method. We obtained some statistical properties of the new model, including moments, moment generating function, some types of entropies, rsidual life and reversed residual life functions, and Bonferroni and Lorenz curves. Estimation of the parameters of extended distribution is obtained by the method of maximum likelihood. To check the usefulness of new model, we applied two real data set and used some goodness of fit statistics. We illustrated the versatility of proposed model to fit and model data and confirmed that this model provide a better fit than some other very well-known distributions.
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