Vinod KumarFartyal, Sakshi2022-10-122022-10-122022-07https://krishikosh.egranth.ac.in/handle/1/5810188841The present study proposes and investigates the distributional features of a new lifetime distribution known as the weighted Lindley distribution which has a single parameter θ. The Newton-Raphson method has been used to derive the maximum likelihood estimates of the parameter. The formulas for the moment generating function (mgf), cumulant generating function (cgf), characteristic function, moments, and several such features of the new weighted Lindley distribution have also been obtained. Tierney and Kadane approximation method has been used to derive Bayes estimators for its parameter (θ), reliability function R(t), and hazard rate function h(t) under three priors, uniform, exponential and gamma. The resulting findings have been demonstrated using various randomly produced data sets from the proposed model using simulation technique, with each sample replicated 10,000 times. The Bayes Risks have been estimated under Squared Error Loss Function (SELF). Two real life data sets have further been used to demonstrate its utility. It is finally concluded that gamma prior outperforms uniform prior and exponential prior for computing the Bayes estimates of the parameter θ, reliability function R(t) and hazard rate function h(t) of the proposed weighted Lindley distribution.EnglishThesis