Vikadirdalh reliability compared to a specimen Lindley stress and durability study

Abstract

In this research the estimation of Reliability ofthe Stress-strength Model for Lindley Distribution has been made by using two important methods ,the first method is the Maximum Likelihood Method which consists the Bootstrap technique to solve the non-linear equations ,the second methods is the Standard Bayes method by using natural conjugate prior and Squared Error, Entropy loss functions , the Bayes Method includes using Markov Chain Monte Carlo approximate method to find the posterior,s complex integrations.A comparison has been made between the MLE and Bayes methods in the experimental aspect to find the best method through simulation by using the Monte Carlo Method. Several experimentations have been made by using the Mean Square Error (MSE), the finding results shows comparative advantage for StandardBayes method .