Enhanced direct and synthetic estimators for domain mean with simulation and applications
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Date
2024-07
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Abstract
This article considers the issue of domain mean estimation utilizing bivariate auxiliary information
based enhanced direct and synthetic logarithmic type estimators under simple random sampling
(SRS). The expressions of mean square error (MSE) of the proposed estimators are provided
to the 1𝑠𝑡 order approximation. The efficiency criteria are derived to exhibit the dominance of
the proposed estimators. To exemplify the theoretical results, a simulation study is conducted
on a hypothetically drawn trivariate normal population from 𝑅 programming language. Some
applications of the suggested methods are also provided by analyzing the actual data from the
municipalities of Sweden and acreage of paddy crop in the Mohanlal Ganj tehsil of the Indian state
of Uttar Pradesh. The findings of the simulation and real data application exhibit that the proposed
direct and synthetic logarithmic estimators dominate the conventional direct and synthetic mean,
ratio, and logarithmic estimators in terms of least MSE and highest percent relative efficiency.