Estimating peppermint oil yields with auxiliary variable information

S.K. Yadav, Dinesh K. Sharma and Kate Brown

International Journal of Operational Research, 2022, vol. 44, issue 1, 122-139

Abstract: In this article, we propose an improved method for estimation of the population mean using an auxiliary variable and apply it to the peppermint oil yield for a block level in the Barabanki District of Uttar Pradesh State in India. We consider a new family of estimators for the population mean, using the area of the peppermint field as the auxiliary variable. We study the sampling properties of the proposed family, through the bias and the mean squared error (MSE) to the first order approximation. We compare the suggested estimators with competing estimators theoretically and verify the conditions under which they outperform the competing estimators with actual data collected from the Siddhaur Block of the Barabanki District.

Keywords: study variable; auxiliary variable; regression-cum-ratio estimator; bias; mean squared error; MSE; percentage relative efficiency; PRE. (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:44:y:2022:i:1:p:122-139

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