IDEAS home Printed from https://ideas.repec.org/a/taf/lstaxx/v46y2017i9p4425-4436.html
   My bibliography  Save this article

A new estimator of finite population mean based on the dual use of the auxiliary information

Author

Listed:
  • Abdul Haq
  • Manzoor Khan
  • Zawar Hussain

Abstract

When a sufficient correlation between the study variable and the auxiliary variable exists, the ranks of the auxiliary variable are also correlated with the study variable, and thus, these ranks can be used as an effective tool in increasing the precision of an estimator. In this paper, we propose a new improved estimator of the finite population mean that incorporates the supplementary information in forms of: (i) the auxiliary variable and (ii) ranks of the auxiliary variable. Mathematical expressions for the bias and the mean-squared error of the proposed estimator are derived under the first order of approximation. The theoretical and empirical studies reveal that the proposed estimator always performs better than the usual mean, ratio, product, exponential-ratio and -product, classical regression estimators, and Rao (1991), Singh et al. (2009), Shabbir and Gupta (2010), Grover and Kaur (2011, 2014) estimators.

Suggested Citation

  • Abdul Haq & Manzoor Khan & Zawar Hussain, 2017. "A new estimator of finite population mean based on the dual use of the auxiliary information," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(9), pages 4425-4436, May.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:9:p:4425-4436
    DOI: 10.1080/03610926.2015.1083112
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03610926.2015.1083112
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03610926.2015.1083112?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sohail Muhammed Umair & Shabbir Javid & Sohil Fariha, 2019. "Imputation Of Missing Values By Using Raw Moments," Statistics in Transition New Series, Polish Statistical Association, vol. 20(1), pages 21-40, March.
    2. Ayesha Khalid & Aamir Sanaullah & Mohammed M. A. Almazah & Fuad S. Al-Duais, 2023. "An Efficient Ratio-Cum-Exponential Estimator for Estimating the Population Distribution Function in the Existence of Non-Response Using an SRS Design," Mathematics, MDPI, vol. 11(6), pages 1-15, March.
    3. Muhammed Umair Sohail & Javid Shabbir & Farinha Sohil, 2019. "Imputation Of Missing Values By Using Raw Moments," Statistics in Transition New Series, Polish Statistical Association, vol. 20(1), pages 21-40, March.

    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:taf:lstaxx:v:46:y:2017:i:9:p:4425-4436. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/lsta .

    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.