In this article,the Bayesian Minimum Risk Linear Unbiased Estimator(BMRLUE) of parameters is derived in semi-parametric regression model.We studied the superiorities of the BMRLUE over Weighted Least Square Estimator(WLSE) in terms of the Mean Square Error Matrix(MSEM) cerition,Predictive Pitman Closeness(PRPC) criterion and Posterior Pitman Closeness(PPC) criterion.Finally the large sample properties for the BMRLUE of parameters and the Estimator of Nonparametric part are discussed. |