Bayesian Estimation of Parameters under Two-Parameter Extended Marshall-Olkin Family of Distributions based on Different Loss Functions

Estimation of different parameters from two parameters extended marshall-olkin distribution was performed based on lindly approximation and mcmc method under loss functions including square error, linex, modified linex, square error in logarithm and entropy. for producing samples from complete conditional distribution parameters, the metropolis-hastings algorithm was used. and we have used various informative prior distributions and uninformative prior. based on the observations of the present study, it was observed that the lindley approximation method has provided more appropriate estimates from the view of mse reduction by the mcmc method, and as a result, compatible estimations have been produced. the optimality of the proposed model is described by using a practical example..