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


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  • Pandey, Krishan
  • Tikkiwal, G.C.


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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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 22783.

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Date of creation: 2006
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Publication status: Published in STATISTICS IN TRANSITION-new series, April 2007.Vol. 8(2007): pp. 111-123
Handle: RePEc:pra:mprapa:22783

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Keywords: Composite estimators; Synthetic ratio estimators; Small domains; Lahiri – Midzuno sampling design; SICURE model;

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