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Calibration based chain ratio-type estimator of population total under successive sampling

Author

Listed:
  • Shiwani Tiwari

    (GITAM University)

  • Alka

    (Banasthali Vidyapith)

  • Piyush Kant Rai

    (Banaras Hindu University)

Abstract

This article suggests a chain ratio-type estimator of population total based on calibration that takes into account auxiliary variables present on both occasions, and information on the study variable is not available on the first occasion. The optimal composite weights to choose, together with their performance range, are presented along with the bias expression. An empirical and simulation-based study is used to evaluate the effectiveness of the suggested estimator. The studies demonstrate that the proposed estimator outperforms the other estimators for various composite weight selections with varying matched and unmatched sample sizes.

Suggested Citation

  • Shiwani Tiwari & Alka & Piyush Kant Rai, 2024. "Calibration based chain ratio-type estimator of population total under successive sampling," 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. 15(7), pages 3151-3161, July.
    • Handle: RePEc:spr:ijsaem:v:15:y:2024:i:7:d:10.1007_s13198-024-02321-y
    DOI: 10.1007/s13198-024-02321-y
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    References listed on IDEAS

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    1. Veronica I. Salinas & Stephen A. Sedory & Sarjinder Singh, 2022. "Higher order calibrated estimator in two-stage sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(10), pages 3164-3180, May.
    2. Sarjinder Singh, 2012. "On the calibration of design weights using a displacement function," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(1), pages 85-107, January.
    3. Kumari Priyanka & Ajay Kumar & Pidugu Trisandhya, 2021. "Calibration estimators for quantitative sensitive mean estimation under successive sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(6), pages 1341-1361, March.
    4. Sarjinder Singh & Stephen Andrew Sedory, 2016. "Two-step calibration of design weights in survey sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(12), pages 3510-3523, June.
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