Bayesian estimation for the reliability function of two parameter exponential distribution under different loss functions.

This paper deals with obtaining the best estimator for the reliability function of a two-parameter exponential distribution using the Bayesian estimation method under four different loss functions: squared error loss function, precautionary loss function, and entropy loss function. The exponential distribution prior and Gamma distribution have been assumed as the priors for the scale γ and location δ parameters, respectively. In Bayesian estimation, maximum likelihood estimators have been used as the initial estimators for the two unknown parameters, and the Tierney-Kadane approximation has been effectively employed. The estimators were compared using the Monte-Carlo simulation method based on the integral mean squared error (IMSE). [ABSTRACT FROM AUTHOR]