BAYESIAN ESTIMATION OF RELIABILITY IN TWOPARAMETER GEOMETRIC DISTRIBUTION

Abstract

Bayesian estimation of reliability of a component, R(t) = P(X ≥ t) , when X follows two-parameter geometric distribution, has been considered. Maximum Likelihood Estimator (MLE), an Unbiased Estimator and Bayesian Estimator have been compared. Bayesian estimation of component reliability R = P ( X ≤ Y ) , arising under stress-strength setup, when Y is assumed to follow independent two-parameter geometric distribution has also been discussed assuming independent priors for parameters under different loss functions.