On Exponential Negative-Binomial-X Family of Distributions

Abstract

This paper introduces a new family of distributions using exponential negative binomial distribution. The proposed family of distributions generalizes the Marshall–Olkin, Complementary exponential G-geometric, Complementary Beta G-geometric and Complementary Kumaraswamy G-geometric families of distribution. Explicit expressions of statistical and reliability properties of the proposed family of distributions are derived. Some special cases of this family of distributions are presented in detail. Suitability of the suggested family of distributions is established by using real life data sets from different areas of application. The empirical results indicate that the proposed family performs better than already existing families of distributions.