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Exploring mixture estimators in stratified random sampling

Author

Listed:
  • Kanwal Iqbal
  • Syed Muhammad Muslim Raza
  • Tahir Mahmood
  • Muhammad Riaz

Abstract

Advancements in sensor technology have brought a revolution in data generation. Therefore, the study variable and several linearly related auxiliary variables are recorded due to cost-effectiveness and ease of recording. These auxiliary variables are commonly observed as quantitative and qualitative (attributes) variables and are jointly used to estimate the study variable’s population mean using a mixture estimator. For this purpose, this work proposes a family of generalized mixture estimators under stratified sampling to increase efficiency under symmetrical and asymmetrical distributions and study the estimator’s behavior for different sample sizes for its convergence to the Normal distribution. It is found that the proposed estimator estimates the population mean of the study variable with more precision than the competitor estimators under Normal, Uniform, Weibull, and Gamma distributions. It is also revealed that the proposed estimator follows the Cauchy distribution when the sample size is less than 35; otherwise, it converges to normality. Furthermore, the implementation of two real-life datasets related to the health and finance sectors is also presented to support the proposed estimator’s significance.

Suggested Citation

  • Kanwal Iqbal & Syed Muhammad Muslim Raza & Tahir Mahmood & Muhammad Riaz, 2024. "Exploring mixture estimators in stratified random sampling," PLOS ONE, Public Library of Science, vol. 19(9), pages 1-21, September.
    • Handle: RePEc:plo:pone00:0307607
    DOI: 10.1371/journal.pone.0307607
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    References listed on IDEAS

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    1. Maria Javed & Muhammad Irfan & Sajjad Haider Bhatti & Ronald Onyango & Niansheng Tang, 2021. "A Simulation-Based Study for Progressive Estimation of Population Mean through Traditional and Nontraditional Measures in Stratified Random Sampling," Journal of Mathematics, Hindawi, vol. 2021, pages 1-16, December.
    2. Shashi Bhushan & Anoop Kumar & Sana Shahab & Showkat Ahmad Lone & Md Tanwir Akhtar & Jia-Bao Liu, 2022. "On Efficient Estimation of the Population Mean under Stratified Ranked Set Sampling," Journal of Mathematics, Hindawi, vol. 2022, pages 1-20, October.
    3. Sohaib Ahmad & Sardar Hussain & Muhammad Aamir & Uzma Yasmeen & Javid Shabbir & Zubair Ahmad & Firdous A. Shah, 2021. "Dual Use of Auxiliary Information for Estimating the Finite Population Mean under the Stratified Random Sampling Scheme," Journal of Mathematics, Hindawi, vol. 2021, pages 1-12, November.
    4. Maria M & Ibrahim M Almanjahie & Muhammad Ismail & Ammara Nawaz Cheema, 2023. "Partial stratified ranked set sampling scheme for estimation of population mean and median," PLOS ONE, Public Library of Science, vol. 18(2), pages 1-10, February.
    5. Tolga Zaman, 2021. "An efficient exponential estimator of the mean under stratified random sampling," Mathematical Population Studies, Taylor & Francis Journals, vol. 28(2), pages 104-121, April.
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