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An efficient class of estimators of finite population variance using quartiles

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  • Housila P. Singh
  • Surya K. Pal

Abstract

In this paper, we have proposed a class of estimators of finite population variance using known values of parameters related to an auxiliary variable such as quartiles and its properties are studied in simple random sampling. The suggested class of ratio-type estimators has been compared with the usual unbiased, ratio estimators and the class of ratio-type estimators due to Singh et al. [ Improved estimation of finite population variance using quartiles , Istatistik -- J. Turkish Stat. Assoc. 6(3) (2013), pp. 166--121] and Solanki et al. [ Improved ratio-type estimators of finite population variance using quartiles , Hacettepe J. Math. Stat. 44(3) (2015), pp. 747--754]. An empirical study is also carried out to judge the merits of the proposed estimator over other existing estimators of population variance using natural data set. It is found that the proposed class of ratio-type estimators ‘ ’ is superior to the usual unbiased estimator and the estimators recently proposed by Singh et al. [ Improved estimation of finite population variance using quartiles , Istatistik -- J. Turkish Stat. Assoc. 6(3) (2013), pp. 166--121] and Solanki et al. [ Improved ratio-type estimators of finite population variance using quartiles , Hacettepe J. Math. Stat. 44(3) (2015), pp. 747--754].

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:43:y:2016:i:10:p:1945-1958
    DOI: 10.1080/02664763.2015.1125865
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    Cited by:

    1. 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.
    2. 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.

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