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

Krishan Pandey () and G.C. Tikkiwal

MPRA Paper from University Library of Munich, Germany

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.

Keywords: Composite estimators; Synthetic ratio estimators; Small domains; Lahiri – Midzuno sampling design; SICURE model (search for similar items in EconPapers)
JEL-codes: C13 C4 C81 (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Published in STATISTICS IN TRANSITION-new series, April 2007.Vol. 8(2007): pp. 111-123

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