A New Generalization of Power Lindley Distribution and Its Applications

Abstract

In this paper, a new distribution for modelling the lifetime data has been introduced named as type II generalized Topp Leone-power Lindley (TIIGTL-PLindley) distribution by modifying the cumulative distribution function of power Lindley distribution depending on type II generalized Topp Leone family. Furthermore, main statistical properties of the proposed model such as the reliability function, hazard rate function, probability weighted moments, moments, moment generating function, Renyi entropy, order statistics etc. are determined. For the estimation of unknown parameters, maximum likelihood estimation method is performed. An attempt has been made to fit the TIIGTL-PLindley distribution.  In order to illustrate the goodness of fit, flexibility and usefulness, we have included a real life application of this proposed three parameter distribution. Two real data sets are fitted for a range of distributions and compared the performance with the proposed distribution.