Munich Personal RePEc Archive

Synthetic and composite estimators for small area estimation under Lahiri – Midzuno sampling scheme

Pandey, Krishan and Tikkiwal, G.C. (2006): Synthetic and composite estimators for small area estimation under Lahiri – Midzuno sampling scheme. Published in: STATISTICS IN TRANSITION-new series, , Vol. Vol. 8, No. April 2007 (April 2007): pp. 111-123.

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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.

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