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Synthetic estimators using auxiliary information in small domains

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  • K. K. Pandey
  • P. K. Rai

Abstract

In the present article we discuss the generalized class of synthetic estimators for estimating the population mean of small domains under the information of two auxiliary variables, and describe the special cases under the different values of the constant beta involved in the proposed generalized class of synthetic estimator. In addition we have taken a numerical illustration for the two auxiliary variables and compared the result for the synthetic ratio estimator under single and two auxiliary variables.

Suggested Citation

  • K. K. Pandey & P. K. Rai, 2013. "Synthetic estimators using auxiliary information in small domains," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 14(1), pages 31-44, March.
    • Handle: RePEc:csb:stintr:v:14:y:2013:i:1:p:31-44
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    File URL: http://index.stat.gov.pl/repec/files/csb/stintr/csb_stintr_v14_2013_i1_n3.pdf
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    References listed on IDEAS

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    1. PANDEY, KRISHAN & Tikkiwal, G.C., 2010. "Generalized class of synthetic estimators for small areas under systematic sampling scheme," MPRA Paper 37161, University Library of Munich, Germany.
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    Cited by:

    1. Brij Behari Khare & Ashutosh Ashutosh & Piyush Kant Rai, 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, Polish Statistical Association, vol. 22(2), pages 189-200, June.
    2. Ashutosh, 2023. "Estimation of Domain Mean Using Conventional Synthetic Estimator with Two Auxiliary Characters," Annals of Data Science, Springer, vol. 10(1), pages 153-166, February.
    3. 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, Polish Statistical Association, vol. 22(2), pages 189-200, June.

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