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.

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: Composite estimators, Synthetic ratio estimators, Small domains, Lahiri – Midzuno sampling design, SICURE model
• Subjects: C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General; C - Mathematical and Quantitative Methods > C8 - Data Collection and Data Estimation Methodology ; Computer Programs > C81 - Methodology for Collecting, Estimating, and Organizing Microeconomic Data ; Data Access; C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics

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