The exponential alpha power-G family of distributions : Properties and applications

Abstract

This article introduces a class of generating family of distributions called the exponential alpha power-G (EAP-G) distribution for generating new flexible distributions. Some of its special models characteristics with their shapes were investigated. These characteristics include the survival rate and hazard rate functions. The Bernstein method of generating the EAP-G model was also proposed. The bivariate and Bayes methods of the proposed model were examined. The parameters of the proposed model were obtained by maximum likelihood method. A Monte Carlo simulation was used to examine the flexibility and performance of the proposed model. A real-life data was used to examine the goodness-of-fit test statistics of the empirical nature of the proposed model. The results of the goodness-of-fit show that the EAP-G model performs favourably well when compared to some existing models in literature.

Subject Classification:

• 60E05
• 62E10
• 62E15

Keywords:

• Alpha power distribution
• Bernstein functions
• Bivariate models
• Exponential alpha power
• Exponential distribution
• Maximum likelihood function