Extended exponentiated Nadarajah-Haghighi model: Mathematical properties, characterizations and applications

Abstract

In this article, a new four-parameter model is introduced which can be used in modeling survival data and fatigue life studies. Its failure rate function can be increasing, decreasing, upside down and bathtub-shaped depending on its parameters. We derive explicit expressions for some of its statistical and mathematical quantities. Some useful characterizations are presented. Maximum likelihood method is used to estimate the model parameters. The censored maximum likelihood estimation is presented in the general case of the multi-censored data. We demonstrate empirically the importance and flexibility of the new model in modeling a real data set.