Burr–Hatke Exponential Distribution: A Decreasing Failure Rate Model, Statistical Inference and Applications

Abstract

In this paper, we introduce a new one-parameter lifetime distribution as an alternative to exponential distribution named as Burr–Hatke exponential (BHE) distribution. Classical and Bayesian estimation procedure for the estimation of BHE model parameter are discussed using on the Type-II hybrid censored data. The Monte Carlo simulations are performed to compare the performances of the obtained estimators in mean square error sense. Two real data sets are analyzed for the illustrative purpose of the considered study. Additionally, a new log-location regression model based on the new distribution is introduced and studied. © 2022 Elsevier B.V., All rights reserved.