Alpha Power Transformed Weibull-G Family of Distributions: Theory and Applications

Abstract

This paper considers three special cases: Exponential, Rayleigh and Lindley of a family of generalized distributions, called alpha power Weibull G (APW-G) family.Some essential and valuable statistical properties of the family of distributions are obtained.The proposed distributions are very flexible and can be used to model data with decreasing, increasing or bathtub-shaped hazard rates.Model parameters estimation and a simulation study is carried out to evaluate the behaviors of the parameters.We consider two worthwhile data sets to illustrate the finding of the paper.

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