IDEAS home Printed from https://ideas.repec.org/a/spr/ijsaem/v8y2017i2d10.1007_s13198-017-0609-5.html
   My bibliography  Save this article

Estimation of finite population mean using auxiliary information in systematic sampling

Author

Listed:
  • Surya K. Pal

    (Vikram University)

  • Housila P. Singh

    (Vikram University)

Abstract

In this paper the problem of estimating the population mean $$\bar{Y}$$ Y ¯ of the study variable $$y$$ y using information on auxiliary variable $$x$$ x in systematic sampling has been considered. Taking motivation from Singh et al. (J Sci Res 56:177–182, 2012a; J Reliab Stat Stud 5(1):73–82, 2012b) we have proposed a class of estimators for the population mean $$\bar{Y}$$ Y ¯ . The bias and mean squared error (MSE) of the suggested class of estimators are obtained. Optimum condition is obtained in which the suggested class of estimators has minimum MSE. A numerical study is provided to show that the members of the proposed class of estimators are more efficient than the other existing estimators.

Suggested Citation

  • Surya K. Pal & Housila P. Singh, 2017. "Estimation of finite population mean using auxiliary information in systematic sampling," 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. 8(2), pages 1392-1398, November.
  • Handle: RePEc:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-017-0609-5
    DOI: 10.1007/s13198-017-0609-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13198-017-0609-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s13198-017-0609-5?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sat Gupta & Javid Shabbir, 2008. "On improvement in estimating the population mean in simple random sampling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(5), pages 559-566.
    2. Giancarlo Diana & Marco Giordan & Pier Perri, 2011. "An improved class of estimators for the population mean," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 20(2), pages 123-140, June.
    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. Sardar Hussain & Sohaib Ahmad & Mariyam Saleem & Sohail Akhtar, 2020. "Finite population distribution function estimation with dual use of auxiliary information under simple and stratified random sampling," PLOS ONE, Public Library of Science, vol. 15(9), pages 1-30, September.
    2. Ndlovu N & Mafumbate J & Mafuka A & Brena M, 2017. "The Impact of the Buy Zimbabwe Campaign on Performance of Zimbabwean Companies in the Retail Sector," Journal of Economics and Behavioral Studies, AMH International, vol. 8(6), pages 227-236.
    3. 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.
    4. Singh Housila P. & Pal Surya K., 2016. "A New Family of Estimators of the Population Variance using Information on Population Variance of Auxiliary Variable in Sample Surveys," Statistics in Transition New Series, Statistics Poland, vol. 17(4), pages 605-630, December.
    5. G. N. Singh & D. Majhi, 2014. "Some Chain-type Exponential Estimators of Population Mean in Two-Phase Sampling," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 15(2), pages 221-230, March.
    6. Kumari Priyanka & Pidugu Trisandhya & Richa Mittal, 2018. "Dealing sensitive characters on successive occasions through a general class of estimators using scrambled response techniques," METRON, Springer;Sapienza Università di Roma, vol. 76(2), pages 203-230, August.
    7. Housila P. Singh & Surya K. Pal, 2016. "A New Family Of Estimators Of The Population Variance Using Information On Population Variance Of Auxiliary Variable In Sample Surveys," Statistics in Transition New Series, Polish Statistical Association, vol. 17(4), pages 605-630, December.
    8. Giancarlo Diana & Marco Giordan & Pier Perri, 2011. "An improved class of estimators for the population mean," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 20(2), pages 123-140, June.
    9. Ramkrishna Solanki & Housila Singh, 2015. "Efficient classes of estimators in stratified random sampling," Statistical Papers, Springer, vol. 56(1), pages 83-103, February.
    10. Evangelia Karasmanaki & Spyros Galatsidas & Georgios Tsantopoulos, 2024. "Socioeconomic Factors Driving the Transition to a Low-Carbon Energy System," Energies, MDPI, vol. 17(14), pages 1-15, July.
    11. Giancarlo Diana & Saba Riaz & Javid Shabbir, 2014. "Hansen and Hurwitz estimator with scrambled response on the second call," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(3), pages 596-611, March.

    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:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-017-0609-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.