On the Efficiency of Ratio-product Estimator for Estimation of Finite Population Coefficient of Variation

¹ Department of Statistics, Ahmadu Bello University, Zaria, Nigeria
² Department of Mathematics, Usmanu Danfodiyo University, Sokoto
³ State College of Basic and Remedial Studies, Sokoto, Nigeria
⁴ Department of Statistics, Binyaminu Usman Polytechnic, Hadejia, Nigeria
⁵ Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

Academic Editor: Santosh Kumar

Published: 15 November 2023 by MDPI in The 4th International Electronic Conference on Applied Sciences session Applied Physical Science

https://doi.org/10.3390/ASEC2023-16263

Abstract:

Ratio product estimators have been proposed by several authors for the estimation of population mean, and population variance, but very few authors have proposed ratio product estimators for the estimation of population coefficient of variation. In this paper, we proposed a ratio product estimator for the estimation of the population coefficient of variation. The mean square error of the proposed estimator has been obtained up to the first order of approximation using the Taylor series technique. The numerical analysis was conducted and the results show that the proposed ratio product estimator is more efficient.

Keywords: Estimator; MSE; Coefficient of variation; Study variable; Finite population

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