Abstract:
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. The synthetic estimator under L-M
scheme is unbiased and consistent if the assumption of synthetic estimator is
satisfied. Further, this paper compares performance of the synthetic and
composite estimators empirically under L-M and SRSWOR schemes for
estimating crop acreage for small domains. The study shows that both the
estimators perform better under L-M scheme as having comparatively smaller
absolute relative biases and relative standard errors.
