A new distribution with monotone and non-monotone shaped failure rate

Abstract

In the present paper, we propose to use a transformation to get a new class of distribution by using some baseline distribution. We have considered Lindley distribution as baseline model which is a popular model used in the field of reliability and engineering. The proposed model includes various shapes like increasing, decreasing and bathtub failure rates. We have studied its statistical properties along with the maximum likelihood estimation procedure for the estimation of parameters of the proposed model. Lastly, three real data sets are used to compare the suitability of the proposed model over seven other existing models. © 2020, ISOSS Publications. All rights reserved.