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.