Bayes Estimator for the Scale Parameter of Laplace distribution under a Suggested Loss Function

In the present paper, we propose a new loss function, and obtained Bayesian estimation of the Scale parameter for the Laplace distribution under the proposed loss function with assuming that, the location parameter is unknown and estimated its by median. We considered Non- informative prior for the Scale parameter using Jefferys prior information and Informative prior represented by Gamble Type II prior. All these estimators are compared empirically using Monte Carlo simulation. The performance of these estimators is compared depending on the mean square errors (MSE’s).