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.

Keywords

• Application
• Exponential distribution
• Family of distribution
• Generating function
• Lindley distribution
• Maximum likelihood estimation