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Efficient Searls predictive estimators for the computation of mean under ranked set sampling: an application to COVID-19 data

Author

Listed:
  • S. K. Yadav

    (Babasaheb Bhimrao Ambedkar University (A Central University))

  • Gajendra K. Vishwakarma

    (Indian Institute of Technology (ISM) Dhanbad)

  • Abhishek Singh

    (Dr. Vishwanath Karad MIT WPU)

Abstract

This study proposes an effective method for estimating the population mean of a primary variable through known subsidiary variable parameters in ranked set sampling (RSS) for predictive estimation. Utilizing a modified Searls technique, it achieves efficient estimation while analyzing sampling properties like bias and mean squared errors (MSE) up to an order-one approximation. Optimal Searls constants are determined, pinpointing the minimum MSE for the proposed estimator based on these optimized scalars. Theoretical evaluations compare the efficiencies of this estimator with competitors based on predictive estimation and MSE. Conditions for its superior efficiency over competing estimators are outlined. Additionally, numerical comparisons via Monte-Carlo simulations on synthetic data using R Studio, and application to COVID-19 data, validate the reliability of the proposed Searls ranked set predictive estimators.

Suggested Citation

  • S. K. Yadav & Gajendra K. Vishwakarma & Abhishek Singh, 2025. "Efficient Searls predictive estimators for the computation of mean under ranked set sampling: an application to COVID-19 data," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 16(3), pages 1040-1057, March.
    • Handle: RePEc:spr:ijsaem:v:16:y:2025:i:3:d:10.1007_s13198-024-02673-5
    DOI: 10.1007/s13198-024-02673-5
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    References listed on IDEAS

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    1. Cem Kadilar & Yesim Unyazici & Hulya Cingi, 2009. "Ratio estimator for the population mean using ranked set sampling," Statistical Papers, Springer, vol. 50(2), pages 301-309, March.
    2. 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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