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Modified Class of Estimators Using Ranked Set Sampling

Author

Listed:
  • Shashi Bhushan

    (Department of Statistics, University of Lucknow, Lucknow 226007, India
    These authors contributed equally to this work.)

  • Anoop Kumar

    (Department of Statistics, Amity University, Lucknow 226028, India
    These authors contributed equally to this work.)

  • Sana Shahab

    (Department of Business Administration, College of Business Administration, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
    These authors contributed equally to this work.)

  • Showkat Ahmad Lone

    (Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia
    These authors contributed equally to this work.)

  • Salemah A. Almutlak

    (Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

The present article discusses the issue of population mean estimation in the ranked set sampling framework. A modified class of estimators is proffered and compared in the aspect of its efficacious performance with all salient conventional estimators existing to date. Some well-known existing estimators under R S S are recognized as the members of the proffered estimators for appropriately chosen characterizing scalars. The ascendancy of the proposed class of estimators regarding the conventional estimators has been shown through an extensive computational study utilizing some natural and artificially generated populations.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:3921-:d:950283
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    References listed on IDEAS

    as
    1. Cem Kadilar & Yesim Unyazici & Hulya Cingi, 2009. "Ratio estimator for the population mean using ranked set sampling," Statistical Papers, Springer, vol. 50(2), pages 301-309, March.
    2. Shashi Bhushan & Anoop Kumar, 2022. "On optimal classes of estimators under ranked set sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(8), pages 2610-2639, April.
    3. Shashi Bhushan & Anoop Kumar, 2022. "Novel Log Type Class Of Estimators Under Ranked Set Sampling," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(1), pages 421-447, May.
    4. Ehsan Zamanzade & Xinlei Wang, 2018. "Proportion estimation in ranked set sampling in the presence of tie information," Computational Statistics, Springer, vol. 33(3), pages 1349-1366, September.
    5. Nitu Mehta (Ranka) & V. L. Mandowara, 2016. "A modified ratio-cum-product estimator of finite population mean using ranked set sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(2), pages 267-276, January.
    6. Shashi Bhushan & Anoop Kumar, 2022. "Correction to: Novel Log Type Class of Estimators Under Ranked Set Sampling," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(1), pages 448-448, May.
    Full references (including those not matched with items on IDEAS)

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