Weibull Quasi Lindley Distribution and its Statistical Properties with Applications to Lifetime Data

Abstract

In this article, a new four-parameter lifetime model named the Weibull quasi Lindley distribution based on the Weibull G-family is introduced. It is more flexible than several recently introduced lifetime distributions. Various structural properties of the new distribution are derived including moments, moment generating function, quantile function, reliability, hazard rate function and mean residual life. Expressions for the R´enyi, q-entropies and density function of order statistics are also obtained. The model parameters are estimated by the method of maximum likelihoodand the observed information matrix is determined. Two real data sets are presented to illustrate the advantage of the new distribution. In fact, the new model provides a better fit to this data than some of the most important distributions.