On Synthetic and Composite Estimators for Small Area Estimation Under Lahiri–Midzuno Sampling Scheme

This paper studies performance of synthetic ratio estimator and composite estimator, which is a weighted sum of direct and synthetic ratio estimators, under Lahiri–Midzuno (L-M) sampling scheme. Both the estimators under L-M scheme are unbiased and consistent if the assumption of synthetic estimator is satisfied. Further, this paper compares performance of the estimators empirically under L-M and SRSWOR schemes for estimating crop acreage for small domains. The study suggests that both the estimators under L-M scheme perform better than, under SRSWOR scheme, as having smaller absolute relative biases and relative standard errors