Small area estimation using design based direct and synthetic logarithmic estimators
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Date
2024-05
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Abstract
In this article, we propose some direct and synthetic logarithmic estimators for estimating the domain mean of
small area based on a simple random sampling design. The mean square error expressions of the proposed direct
and synthetic estimators are obtained to first order approximation. The efficiency conditions are obtained under
which the proposed direct and synthetic estimators dominate their conventional aspirants. The performances
of the suggested direct and synthetic logarithmic estimators are examined by a comprehensive simulation
study carried out on some artificially drawn symmetric and asymmetric populations. Furthermore, a real data
application of the suggested methods is also provided as a case study using the paddy crop acreage data for small
domains, where small domains are the revenue inspector circles (RIC) in Mohanlalganj tehsil, Uttar Pradesh,
India.