Generalized Class Of Synthetic Estimators In Small Domains - A Simulation Study

Abstract

This paper defines and discusses a generalized class of synthetic estimator for small domain, using auxiliary information, under simple random sampling and stratified random sampling schemes. The generalized class of synthetic estimator, among others, includes the simple, ratio and product synthetic estimators. The proposed class of synthetic estimators gives consistent estimators if the synthetic assumption holds. Further, it demonstrates the use of the generalized synthetic and ratio synthetic estimators for estimating crop acreage for small domain and also compares their relative performance with direct estimators, empirically, through a simulation study.