Logarithmic type Direct and Synthetic Estimators using Bivariate Auxiliary Information with an Application to Real Data
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Authors
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Shashi Bhushan
University of Lucknow, Lucknow
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Anoop Kumar
Amity University, Lucknow
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Rohini Pokhrel
Dr. Shakuntala Misra National Rehabilitation University, Lucknow
Keywords:
Domain means; Direct and synthetic estimators; Auxiliary information; Simple random sampling.Abstract
This research work addresses bivariate auxiliary information-based logarithmic type direct and synthetic estimators for domain means in simple
random sampling (SRS). The mean square error (MSE) of the suggested estimators is obtained, approximately to the first order. The efficiency
standards by which the superiority of the suggested estimators is asserted are established. To demonstrate the superiority of the suggested estimators,
a simulation investigation employing an artificially constructed normal population through the R programming language is also conducted. The
analysis of real data from Swedish municipalities and the paddy crop acreage in the Mohanlal Ganj tehsil, Uttar Pradesh, India, also provides some
applicability for the suggested estimators.
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References
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