Synthetic and composite estimators for small area estimation under Lahiri – Midzuno sampling scheme
AbstractThis 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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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 22783.
Date of creation: 2006
Date of revision:
Publication status: Published in STATISTICS IN TRANSITION-new series, April 2007.Vol. 8(2007): pp. 111-123
Composite estimators; Synthetic ratio estimators; Small domains; Lahiri – Midzuno sampling design; SICURE model;
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