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Is The Sample Coefficient Of Variation A Good Estimator For The Population Coefficient Of Variation?

Author

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  • Mahmoudvand, Rahim
  • Hassani, Hossein
  • Wilson, Rob

Abstract

In this paper, we obtain bounds for the population coefficient of variation (CV) in Bernoulli, Discrete Uniform, Normal and Exponential distributions. We also show that the sample coefficient of variation (cv) is not an accurate estimator of the population CV in the above indicated distributions. Finally we provide some suggestions based on the Maximum Likelihood Estimation to improve the population CV estimate.

Suggested Citation

  • Mahmoudvand, Rahim & Hassani, Hossein & Wilson, Rob, 2007. "Is The Sample Coefficient Of Variation A Good Estimator For The Population Coefficient Of Variation?," MPRA Paper 6106, University Library of Munich, Germany, revised 2007.
    • Handle: RePEc:pra:mprapa:6106
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    File URL: https://mpra.ub.uni-muenchen.de/6106/1/MPRA_paper_6106.pdf
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    Cited by:

    1. Usman Shahzad & Ishfaq Ahmad & Amelia V. García-Luengo & Tolga Zaman & Nadia H. Al-Noor & Anoop Kumar, 2023. "Estimation of Coefficient of Variation Using Calibrated Estimators in Double Stratified Random Sampling," Mathematics, MDPI, vol. 11(1), pages 1-17, January.

    More about this item

    Keywords

    Coefficient of Variation (CV); Estimator; Maximum Likelihood Estimation (MLE);
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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