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Estimation of finite population mean in a complex survey sampling

Author

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  • Mohsin Abbas
  • Muhammad Ahmed Shehzad
  • Mahwish Rabia
  • Haris Khurram
  • Muhammad Ijaz

Abstract

Accurate estimation of the finite population mean is a fundamental challenge in survey sampling, especially when dealing with large or complex populations. Traditional methods like simple random sampling may not always provide reliable or efficient estimates in such cases. Motivated by this, the current study explores complex sampling techniques to improve the precision and accuracy of mean estimators. Specifically, we employ two-stage and three-stage cluster sampling methods to develop unbiased estimators for the finite population mean. Building upon these, the next phase of the study formulates unbiased mean estimators using stratified two- and three-stage cluster sampling. To further enhance the precision of these estimators, a ranked-set sampling strategy is applied to the secondary and tertiary sampling stages. Additionally, unbiased variance estimators corresponding to the proposed mean estimators are derived. Real-world datasets are utilized to demonstrate the application of these complex survey sampling methodologies, with results showing that the mean estimates derived using ranked set sampling are more accurate than those obtained via simple random sampling.

Suggested Citation

  • Mohsin Abbas & Muhammad Ahmed Shehzad & Mahwish Rabia & Haris Khurram & Muhammad Ijaz, 2025. "Estimation of finite population mean in a complex survey sampling," PLOS ONE, Public Library of Science, vol. 20(5), pages 1-24, May.
    • Handle: RePEc:plo:pone00:0324559
    DOI: 10.1371/journal.pone.0324559
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    References listed on IDEAS

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    1. 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.
    2. Shashi Bhushan & Anoop Kumar & Sana Shahab & Showkat Ahmad Lone & Salemah A. Almutlak, 2022. "Modified Class of Estimators Using Ranked Set Sampling," Mathematics, MDPI, vol. 10(21), pages 1-13, October.
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