Title: Estimating peppermint oil yields with auxiliary variable information

Authors: S.K. Yadav; Dinesh K. Sharma; Kate Brown

Addresses: Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, UP, India ' Department of Business, Management and Accounting, University of Maryland Eastern Shore, Princess Anne, MD 21853, USA ' Department of Business, Management and Accounting, University of Maryland Eastern Shore, Princess Anne, MD 21853, USA

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.

DOI: 10.1504/IJOR.2022.123027

International Journal of Operational Research, 2022 Vol.44 No.1, pp.122 - 139

Received: 31 Mar 2019
Accepted: 25 Jul 2019
Published online: 23 May 2022 *

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