Estimating population coefficient of variation using a single auxiliary variable in simple random sampling

Rajesh Singh; Madhulika Mishra

doi:10.21307/stattrans-2019-036

Estimating population coefficient of variation using a single auxiliary variable in simple random sampling

Rajesh Singh Department of Statistics, Banaras Hindu University, Varanasi-221005, India ORCID:http://orcid.org/0000-0002-9274-8141 , Madhulika Mishra Department of Statistics, Banaras Hindu University, Varanasi-221005, India ORCID:http://orcid.org/0000-0002-6408-0746 Statistics in Transition new series, vol. 20, 2019, 4, pages: 89-111 Published online: 10 December 2019 DOI 10.21307/stattrans-2019-036

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ABSTRACT

This paper proposes an improved estimation method for the population coefficient of variation, which uses information on a single auxiliary variable. The authors derived the expressions for the mean squared error of the proposed estimators up to the first order of approximation. It was demonstrated that the estimators proposed by the authors are more efficient than the existing ones. The results of the study were validated by both empirical and simulation studies.

KEYWORDS

coefficient of variation, simple random sampling, auxiliary variable, mean square error

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