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A simulation study: Improved ratio-in-regression type variance estimator based on dual use of auxiliary variable under simple random sampling

Author

Listed:
  • Sohaib Ahmad
  • Sardar Hussain
  • Kalim Ullah
  • Erum Zahid
  • Muhammad Aamir
  • Javid Shabbir
  • Zubair Ahmad
  • Huda M Alshanbari
  • Wejdan Alajlan

Abstract

In this article, we proposed an improved finite population variance estimator based on simple random sampling using dual auxiliary information. Mathematical expressions of the proposed and existing estimators are obtained up to the first order of approximation. Two real data sets are used to examine the performances of a new improved proposed estimator. A simulation study is also recognized to assess the robustness and generalizability of the proposed estimator. From the result of real data sets and simulation study, it is examining that the proposed estimator give minimum mean square error and percentage relative efficiency are higher than all existing counterparts, which shown the importance of new improved estimator. The theoretical and numerical result illustrated that the proposed variance estimator based on simple random sampling using dual auxiliary information has the best among all existing estimators.

Suggested Citation

  • Sohaib Ahmad & Sardar Hussain & Kalim Ullah & Erum Zahid & Muhammad Aamir & Javid Shabbir & Zubair Ahmad & Huda M Alshanbari & Wejdan Alajlan, 2022. "A simulation study: Improved ratio-in-regression type variance estimator based on dual use of auxiliary variable under simple random sampling," PLOS ONE, Public Library of Science, vol. 17(11), pages 1-14, November.
    • Handle: RePEc:plo:pone00:0276540
    DOI: 10.1371/journal.pone.0276540
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    References listed on IDEAS

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    1. 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.
    2. Zamanzade, Ehsan & Vock, Michael, 2015. "Variance estimation in ranked set sampling using a concomitant variable," Statistics & Probability Letters, Elsevier, vol. 105(C), pages 1-5.
    3. 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.
    4. Jesse Frey & Timothy Feeman, 2013. "Variance estimation using judgment post-stratification," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(3), pages 551-569, June.
    5. M. Mahdizadeh & Ehsan Zamanzade, 2020. "Estimating asymptotic variance of M-estimators in ranked set sampling," Computational Statistics, Springer, vol. 35(4), pages 1785-1803, December.
    6. Usman Shahzad & Ishfaq Ahmad & Ibrahim Mufrah Almanjahie & Nursel Koyuncu & Muhammad Hanif, 2022. "Variance estimation based on L-moments and auxiliary information," Mathematical Population Studies, Taylor & Francis Journals, vol. 29(1), pages 31-46, January.
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