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A New Family of Estimators of the Population Variance using Information on Population Variance of Auxiliary Variable in Sample Surveys

Author

Listed:
  • Singh Housila P.

    (School of Studies in Statistics, Vikram University, Ujjain, - 456010, M.P., India)

  • Pal Surya K.

    (School of Studies in Statistics, Vikram University, Ujjain, - 456010, M.P., India)

Abstract

This paper proposes a family of estimators of population variance S2y of the study variable y in the presence of known population variance S2x of the auxiliary variable x. It is identified that in addition to many, the recently proposed classes of estimators due to Sharma and Singh (2014) and Singh and Pal (2016) are members of the proposed family of estimators. Asymptotic expressions of bias and mean squared error (MSE) of the suggested family of estimators have been obtained. Asymptotic optimum estimator (AOE) in the family of estimators is identified. Some subclasses of estimators of the proposed family of estimators have been identified along with their properties. We have also given the theoretical comparisons among the estimators discussed in this paper.

Suggested Citation

  • 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, Polish Statistical Association, vol. 17(4), pages 605-630, December.
    • Handle: RePEc:vrs:stintr:v:17:y:2016:i:4:p:605-630:n:6
    DOI: 10.21307/stattrans-2016-043
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    References listed on IDEAS

    as
    1. Housila P. Singh & Surya K. Pal, 2016. "An efficient class of estimators of finite population variance using quartiles," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(10), pages 1945-1958, August.
    2. 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.
    3. 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.
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