An Extension of the Chen Distribution: Properties, Simulation Study and Applications to Data

Abstract

In this study, a new three parameter extension of the Chen distribution was proposed and called the New Extended Chen distribution. Some statistical properties of the proposed distribution are presented. The proposed distribution exhibits varied complex and hazard shapes. Parameters of the distribution are estimated using the maximum likelihood estimation method and a simulation study is conducted to evaluate the performance of the estimators. The New Extended Chen distribution is applied to two real data set and compared to other modifications of the Chen distribution to emphasise the applicability of the the distribution.