Bayesian Estimation for Two Parameters of Exponential Distribution under Different Loss Functions

In this paper, two parameters for the Exponential distribution were estimated using theBayesian estimation method under three different loss functions: Squared error function,the Precautionary function, and Entropy function. The priorand Gamma have been assumed as priors of scale γ location δ parametersrespectively. Bayesian estimation, Maximum likelihood estimators used initialestimators, Tierney-Kadane approximation has effectively. Based on MonteCarlosimulation method, those compared depending mean squared errors (MSEs).The results showed that function,assuming locationparameters, respectively, is best estimator parameter. methodfor function in case a small value ofthe (say < 1). incase relatively large >