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Research Article Open access CC BY 4.0

Improved Estimators of Population Coefficient of Variation under Simple Random Sampling

Rajesh Singh, Anamika Kumari

Asian Journal of Probability and Statistics · pp. 22–36 · Published 3 Sep 2022

10.9734/ajpas/2022/v19i430474

Abstract

In this article, we suggest some novel estimators of population Coefficient of Variation (CV) of the study variable using the known information on an auxiliary variable like population mean and population variance.  Up to the first order of approximation, formulas for the bias and Mean squared Errors (MSE) of the proposed estimators are obtained. The efficiencies of proposed and competing estimators are evaluated by comparing their MSEs. A real and two simulated data sets are used to verify the efficiency conditions. The results showed that the proposed estimators were more efficient than the other existing estimators considered in the study.

Study variable auxiliary variable bias mean square error coefficient of variation

Cited by 2

Modified Regression-Cum-Ratio Types Estimators of Population Coefficient of Variation in Survey Sampling

Yusuf Ajibola Yahya, Ahmed Audu, Yunusa Mojeed Abiodun · Dutse Journal of Pure and Applied Sciences · 2024

On Modification of Some Estimators using Parameters of Auxiliary Information for the Estimation of the Population Coefficient of Variation

Awwal Adejumobi, Mojeed Abiodun Yunusa, Abdulrahman Rashida · Journal of Technology Innovations and Energy · 2024

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