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Estimating Population Coefficient Of Variation Using A Single Auxiliary Variable In Simple Random Sampling

Author

Listed:
  • Singh Rajesh

    (Department of Statistics, Banaras Hindu University, Varanasi, - 221005, India .)

  • Mishra Madhulika

    (Department of Statistics, Banaras Hindu University, Varanasi, - 221005, India .)

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.

Suggested Citation

  • Singh Rajesh & Mishra Madhulika, 2019. "Estimating Population Coefficient Of Variation Using A Single Auxiliary Variable In Simple Random Sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 20(4), pages 89-111, December.
  • Handle: RePEc:vrs:stintr:v:20:y:2019:i:4:p:89-111:n:5
    DOI: 10.21307/stattrans-2019-036
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    References listed on IDEAS

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    1. Breunig, Robert, 2001. "An almost unbiased estimator of the coefficient of variation," Economics Letters, Elsevier, vol. 70(1), pages 15-19, January.
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