A study of weighted Lindley distribution: Bayesian approach

A weighted version of Lindley Distribution has been presented in this paper, offering a new single-parameter lifetime distribution. The expressions for the moment generating function (mgf), cumulant (cgf), characteristic function, moments, reliability and hazard rate functions distribution have also obtained. Tierney Kadane approximation method used to derive Bayes estimators its parameter (θ), R(t), h(t) under three priors namely uniform, exponential gamma. findings illustrated using various randomly produced data sets from proposed model simulation technique, with each sample replicated 10,000 times. Risks estimated Squared Error Loss Function (SELF). Two real life further illustrate utility. It is finally concluded that gamma prior outperforms uniform computing estimates θ, R(t)