Estimating the Scale Parameter for the Lindley Distribution - A Comparative Study of Waiting Time Analysis

Abstract

This research deals with estimating the scale parameter for Lindley distribution by using the maximum likelihood method (ML) and standard Bayes method (SB), then a comparison was done between these estimators depending on the mean square error (MSE) criteria which depends on different simulation experiments . The results proved the priority of Bayes estimator when the samples sizes was small , vice versa in the case of medium and large samples size. The best estimator was invested for studying and analyzing the waiting time for AL-Rasheed Bank / AL- Mustansiriya University clients