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Predictive estimation for mean under median ranked set sampling: an application to COVID-19 data

Author

Listed:
  • Sweta Shukla

    (Institute of Applied Sciences and Humanities, GLA University)

  • Abhishek Singh

    (Department of Mathematics & Statistics, Dr. Vishwanath Karad MIT World Peace University)

  • Gajendra K. Vishwakarma

    (Indian Institute of Technology (ISM) Dhanbad)

Abstract

In this manuscript, we have implemented predictive estimators under the median ranked set sampling (MRSS). Alike predictive estimators under simple random sampling (SRS), MRSS has also shown that predictive estimators based on unbiased, ratio and regression estimators are same as natural unbiased, ratio and regression estimators under MRSS. While the predictive estimator based on product estimator is not the same as a natural product estimator under MRSS, although has the same MSE but differs by bias. Predictive estimators under MRSS have clearly lightened superiority over SRS. The efficiency comparisons, Monte-Carlo simulation, and empirical study through COVID-19 pandemic data have also shown supremacy under MRSS.

Suggested Citation

  • Sweta Shukla & Abhishek Singh & Gajendra K. Vishwakarma, 2025. "Predictive estimation for mean under median ranked set sampling: an application to COVID-19 data," Indian Journal of Pure and Applied Mathematics, Springer, vol. 56(1), pages 218-229, March.
    • Handle: RePEc:spr:indpam:v:56:y:2025:i:1:d:10.1007_s13226-023-00470-7
    DOI: 10.1007/s13226-023-00470-7
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    References listed on IDEAS

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    1. A. I. Al‐Omari & C. N. Bouza, 2015. "Ratio estimators of the population mean with missing values using ranked set sampling," Environmetrics, John Wiley & Sons, Ltd., vol. 26(2), pages 67-76, March.
    2. Mool Chandra Agrawal & Dulal Chandra Roy, 1999. "Efficient estimators of population variance with regression-type and ratio-type predictor-inputs," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3-4), pages 169-178.
    3. Al-Omari, Amer Ibrahim, 2012. "Ratio estimation of the population mean using auxiliary information in simple random sampling and median ranked set sampling," Statistics & Probability Letters, Elsevier, vol. 82(11), pages 1883-1890.
    4. S. Srivastava, 1983. "Predictive estimation of finite population mean using product estimator," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 30(1), pages 93-99, December.
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