A study of the effect of the loss function on Bayes Estimate, Posterior risk and hazard function for Lindley distribution

Abstract

In this paper, mathematical properties of Lindley distribution via Bayesian approach are derived under different loss functions. These properties include: Bayes Estimators, posterior risks and failure rate function for simulation scheme. Elicitation of hyperparameters is also discussed. A real life application to waiting time data at the bank is also described for the developed procedures (also using WinBUGS). Results are compared on the basis of posterior risk. © 2012 Elsevier Inc.