Exponentiated Complementary Kumaraswamy-G Power Series Family of Distributions with Application to Lifetime Data

Abstract

This paper proposed the Exponentiated Complementary Kumaraswamy - G Power (ECK-GP) Series family of distributions which is an extension of the Complementary Kumaraswamy-G Power Series family of distributions. The expressions for its densities, basic statistical properties and parameters estimation using the method of Maximum Likelihood were derived and established. An application of the Exponentiated Complementary Kumaraswamy Exponential Poisson (ECKEP) distribution to a real lifetime dataset clearly reveals its suitability and flexibility in fitting real life dataset.

Keywords

• Exponentiated Kumaraswamy-G;
• Power series family;
• Lifetime dataset;
• Maximum likelihood