The Efficiency of a Ratio Product Estimator in the Estimation of the Finite Population Coefficient of Variation

Abstract

Ratio product estimators have been proposed by several authors for the estimation of the population mean and population variance, but very few authors have proposed ratio product estimators for the estimation of the population coefficient of variation. In this paper, we propose a ratio product estimator for the estimation of the population coefficient of variation. The mean square error of the proposed estimator was obtained up to the first order of approximation using the Taylor series technique. A 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