IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0278619.html
   My bibliography  Save this article

Optimized inferences of finite population mean using robust parameters in systematic sampling

Author

Listed:
  • Nazia Shaheen
  • Muhammad Nouman Qureshi
  • Osama Abdulaziz Alamri
  • Muhammad Hanif

Abstract

In this article, we have proposed a generalized estimator for mean estimation by combining the ratio and regression methods of estimation in the presence of auxiliary information using systematic sampling. We incorporated some robust parameters of the auxiliary variable to obtain precise estimates of the proposed estimator. The mathematical expressions for bias and mean square error of proposed the estimator are derived under large sample approximation. Many other generalized ratio and product-type estimators are obtained from the proposed estimator using different choices of scalar constants. Some special cases are also discussed in which the proposed generalized estimator reduces to the usual mean, classical ratio, product, and regression type estimators. Mathematical conditions are obtained for which the proposed estimator will perform more precisely than the challenging estimators mentioned in this article. The efficiency of the proposed estimator is evaluated using four populations. Results showed that the proposed estimator is efficient and useful for survey sampling in comparison to the other existing estimators.

Suggested Citation

  • Nazia Shaheen & Muhammad Nouman Qureshi & Osama Abdulaziz Alamri & Muhammad Hanif, 2023. "Optimized inferences of finite population mean using robust parameters in systematic sampling," PLOS ONE, Public Library of Science, vol. 18(1), pages 1-11, January.
    • Handle: RePEc:plo:pone00:0278619
    DOI: 10.1371/journal.pone.0278619
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0278619
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0278619&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0278619?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. S. Srivastava, 1983. "Predictive estimation of finite population mean using product estimator," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 30(1), pages 93-99, December.
    2. Mursala Khan & Rajesh Singh, 2015. "Estimation of Population Mean in Chain Ratio-Type Estimator under Systematic Sampling," Journal of Probability and Statistics, Hindawi, vol. 2015, pages 1-5, November.
    3. M. Singh, 1967. "Ratio cum product method of estimation," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 12(1), pages 34-42, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nirmala Sawan & Rajesh Singh & Manoj Kumar & Pankaj Chauhan & Florentin Smarandache, 2011. "A general family of dual to ratio-cum-product estimator in sample surveys," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 12(3), pages 587-594, December.
    2. S. K. Yadav & Gajendra K. Vishwakarma & Abhishek Singh, 2025. "Efficient Searls predictive estimators for the computation of mean under ranked set sampling: an application to COVID-19 data," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 16(3), pages 1040-1057, March.
    3. Narendra K. Jatwa & Rajesh Tailor & Housila P. Singh, 2013. "A Ratio-Cum-Product Estimator of Finite Population Mean in Systematic Sampling," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 14(3), pages 391-398, September.
    4. Giancarlo Diana & Pier Francesco Perri, 2007. "Estimation of finite population mean using multi-auxiliary information," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 99-112.
    5. Mool Chandra Agrawal & Dulal Chandra Roy, 1999. "Efficient estimators of population variance with regression-type and ratio-type predictor-inputs," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3-4), pages 169-178.
    6. Sweta Shukla & Abhishek Singh & Gajendra K. Vishwakarma, 2025. "Predictive estimation for mean under median ranked set sampling: an application to COVID-19 data," Indian Journal of Pure and Applied Mathematics, Springer, vol. 56(1), pages 218-229, March.
    7. repec:exl:29stat:v:20:y:2019:i:3:p:81-96 is not listed on IDEAS
    8. Khare B. B. & Sinha R. R., 2019. "Estimation Of Product Of Two Population Means By Multi-Auxiliary Characters Under Double Sampling The Non-Respondents," Statistics in Transition New Series, Statistics Poland, vol. 20(3), pages 81-95, September.
    9. B. B. Khare & R. R. Sinha, 2019. "Estimation Of Product Of Two Population Means By Multi-Auxiliary Characters Under Double Sampling The Non-Respondents," Statistics in Transition New Series, Polish Statistical Association, vol. 20(3), pages 81-95, September.
    10. Housila Singh & Ramkrishna Solanki, 2013. "A new procedure for variance estimation in simple random sampling using auxiliary information," Statistical Papers, Springer, vol. 54(2), pages 479-497, May.
    11. Housila Singh & R. Biradar, 1992. "Almost unbiased ratio-cum-product estimators for the finite population mean," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 1(1), pages 19-29, December.
    12. A. K. P. C. Swain, 2012. "On classes of modified ratio type and regression-cum-ratio type estimators in sample surveys using two auxiliary variables," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 13(3), pages 473-494, December.
    13. Rajesh Singh & Rohan Mishra, 2023. "Ratio-cum-product Type Estimators for Rare and Hidden Clustered Population," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 33-53, May.
    14. Khare Brij Behari & Ashutosh & Rai Piyush Kant, 2021. "A comparative study of a class of direct estimators for domain mean with a direct ratio estimator for domain mean using auxiliary character," Statistics in Transition New Series, Statistics Poland, vol. 22(2), pages 189-200, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0278619. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.