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Estimation of Population Mean Using Calibrated Weights in Stratified Random Successive Sampling in Presence of Incomplete Data

Author

Listed:
  • G. N. Singh
  • M. K. Pandey
  • A. Bandyopadhyay
  • Mutum Zico Meetei
  • Abdullah A. Zaagan
  • Ali M. Mahnashi
  • Sanaa Al-Marzouki

Abstract

This article proposes a new sampling method to address challenges that often occur in estimation problems when mixed response and nonresponse patterns are observed. It introduces a range of estimators to mitigate the nonresponse effects in survey data. The properties of the proposed estimators are deeply analyzed, and calibrated weights for each stratum are derived. Numerical studies demonstrate the superiority of the proposed estimation approach over the standard conventional methods. Finally, recommendations are made to survey statisticians.

Suggested Citation

  • G. N. Singh & M. K. Pandey & A. Bandyopadhyay & Mutum Zico Meetei & Abdullah A. Zaagan & Ali M. Mahnashi & Sanaa Al-Marzouki, 2025. "Estimation of Population Mean Using Calibrated Weights in Stratified Random Successive Sampling in Presence of Incomplete Data," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:6778010
    DOI: 10.1155/jom/6778010
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    References listed on IDEAS

    as
    1. Kim, Jong-Min & Sungur, Engin A. & Heo, Tae-Young, 2007. "Calibration approach estimators in stratified sampling," Statistics & Probability Letters, Elsevier, vol. 77(1), pages 99-103, January.
    2. Usman Shahzad & Ishfaq Ahmad & Fatimah Alshahrani & Ibrahim M. Almanjahie & Soofia Iftikhar, 2023. "Calibration-Based Mean Estimators under Stratified Median Ranked Set Sampling," Mathematics, MDPI, vol. 11(8), pages 1-21, April.
    3. Jae Kwang Kim & Mingue Park, 2010. "Calibration Estimation in Survey Sampling," International Statistical Review, International Statistical Institute, vol. 78(1), pages 21-39, April.
    4. Giancarlo Diana & Pier Francesco Perri, 2010. "New scrambled response models for estimating the mean of a sensitive quantitative character," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(11), pages 1875-1890.
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