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Difference-Cum-Ratio Estimators for Estimating Finite Population Coefficient of Variation in Simple Random Sampling

Ahmed Audu, Mojeed Abiodun Yunusa, O. O. Ishaq, M. K. Lawal, A. Rashida, AA Muhammad, A. B. Bello, M. U. Hairullahi, Jamiu Olasunkanmi Muili

2021Asian Journal of Probability and Statistics17 citationsDOIOpen Access PDF

Abstract

In this paper, three difference-cum-ratio estimators for estimating finite population coefficient of variation of the study variable using known population mean, population variance and population coefficient of variation of auxiliary variable were suggested. The biases and mean square errors (MSEs) of the proposed estimators were obtained. The relative performance of the proposed estimators with respect to that of some existing estimators were assessed using two populations’ information. The results showed that the proposed estimators were more efficient than the usual unbiased, ratio type, exponential ratio-type, difference-type and other existing estimators considered in the study.

Topics & Concepts

EstimatorStatisticsMathematicsRatio estimatorCoefficient of variationPopulationEfficiencyMean squared errorPopulation varianceSimple random sampleVariance (accounting)Variable (mathematics)Population meanBias of an estimatorMinimum-variance unbiased estimatorMathematical analysisDemographyBusinessSociologyAccountingSurvey Sampling and Estimation Techniques