ESTIMATING POPULATION COEFFICIENT OF VARIATION USING A SINGLE AUXILIARY VARIABLE IN SIMPLE RANDOM SAMPLING

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Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics , Statistics & Probability

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VOLUME 20 , ISSUE 4 (December 2019) > List of articles

ESTIMATING POPULATION COEFFICIENT OF VARIATION USING A SINGLE AUXILIARY VARIABLE IN SIMPLE RANDOM SAMPLING

Rajesh Singh / Madhulika Mishra *

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

Citation Information : Statistics in Transition New Series. Volume 20, Issue 4, Pages 89-111, DOI: https://doi.org/10.21307/stattrans-2019-036

License : (CC BY-NC-ND 4.0)

Received Date : 28-August-2018 / Published Online: 13-December-2019

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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.

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