Weighted Quasi Lindley Distribution with Properties and Applications

Abstract

In this paper a three-parameter weighted quasi Lindley distribution which includes two-parameter quasi Lindley distribution, weighted Lindley distribution and gamma distribution and one parameter Lindley and exponential distributions as particular cases has been proposed and its statistical properties including moments and moments based measures, hazard rate function, and mean residual life function have been discussed. Maximum likelihood estimation has been discussed for estimating its parameters. Applications of the distribution have explained with two real failure time data and the goodness of fit shows quite satisfactory fit over other lifetime distributions.