Simulation-Cum-Regression (SICURE) Method of Estimation for the Small Domains

Abstract

When we talk about small domain problems, the sample regression method is extensively used to build up Small Area Statistics. It is brought out that this method is a special case of the Theory of Successive Sampling. This paper defines and discusses Simulation-Cum-Regression (SICURE) model approach to meet the scarcity of small area statistics. We also demonstrated the gain in efficiency due to this method and the details of its application to obtain the average yield per hectare of the crops for small areas. Also, we compared the performances of these estimators in terms of absolute relative bias and simulated relative standard errors which are computed by a simulation study of crop yield simulated data at Tehsil levels considered as the small domain.