A Monotone and Non-Monotone Hazard Rate Model: Its Application in Real Scenario

Abstract

In this article, alpha power new logarithmic transformation (APNLT) is proposed to get the new lifetime distributions using some baseline distribution in order to get flexible and superior distributions in terms of fitting to the real data. For the application point of view, we have considered exponential distribution as an appropriate baseline distribution which has constant hazard rate function and thus we have obtained alpha power new logarithmic transformed exponential (APNLTE) distribution. It has increasing, decreasing and upside-down bathtub shapes of failure rate function. Several statistical properties of APNLTE distribution have also been studied. A real dataset is taken to compare this new distribution with some existing distributions.