A New Life Time Distribution: Burr III Modified Weibull Distribution And Its Application in Burn in Process

Abstract

In burn-in analysis, models with a bathtub-shaped hazard rate and a bimodal density function are inevitable.This work focusses on a new five parameter distribution called Burr III Modified Weibull distribution which can be used to design burn-in procedures and preventative maintenance for incurable devices. The statistical properties such as quantile function, hazard rate function and order statistics have been discussed.The model parameters are estimated using the maximum likelihood estimation technique, and the performance of the proposed model is evaluated using the simulation technique. Finally, a real data set is presented to demonstrate the model’s utility and its application in the burn-in process.