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Use of an efficient unbiased estimator for finite population mean

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  • Javid Shabbir
  • Ronald Onyango

Abstract

In this study, we propose an improved unbiased estimator in estimating the finite population mean using a single auxiliary variable and rank of the auxiliary variable by adopting the Hartley-Ross procedure when some parameters of the auxiliary variable are known. Expressions for the bias and mean square error or variance of the estimators are obtained up to the first order of approximation. Four real data sets are used to observe the performances of the estimators and to support the theoretical findings. It turns out that the proposed unbiased estimator outperforms as compared to all other considered estimators. It is also observed that using conventional measures have significant contributions in achieving the efficiency of the estimators.

Suggested Citation

  • Javid Shabbir & Ronald Onyango, 2022. "Use of an efficient unbiased estimator for finite population mean," PLOS ONE, Public Library of Science, vol. 17(7), pages 1-13, July.
    • Handle: RePEc:plo:pone00:0270277
    DOI: 10.1371/journal.pone.0270277
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    References listed on IDEAS

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    1. T. J. Rao & A. K. P. C. Swain, 2014. "A Note on the Hartley-Ross Unbiased Ratio Estimator," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(15), pages 3162-3169, August.
    2. Abdul Haq & Manzoor Khan & Zawar Hussain, 2017. "A new estimator of finite population mean based on the dual use of the auxiliary information," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(9), pages 4425-4436, May.
    3. Erum Zahid & Javid Shabbir, 2019. "Estimation of finite population mean for a sensitive variable using dual auxiliary information in the presence of measurement errors," PLOS ONE, Public Library of Science, vol. 14(2), pages 1-17, February.
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