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Modified estimators of population variance in presence of auxiliary information

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  • Rajesh Tailor
  • Balkishan Sharma

Abstract

This paper proposes estimator of population variance using information on known parameters of auxiliary variable. The variances of the proposed estimators are obtained. It has been shown that using modified sampling fraction the proposed estimators are more efficient than the usual unbiased estimator of population variance and usual ratio estimator for population variance under certain given conditions. Empirical study is also carried out to demonstrate the merits of the proposed estimators of population variance over other estimators considered in this paper.

Suggested Citation

  • Rajesh Tailor & Balkishan Sharma, 2012. "Modified estimators of population variance in presence of auxiliary information," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 13(1), pages 37-46, March.
    • Handle: RePEc:csb:stintr:v:13:y:2012:i:1:p:37-46
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    References listed on IDEAS

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    1. A. Cebrián & M. García, 1997. "Variance estimation using auxiliary information: An almost unbiased multivariate ratio estimator," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 45(1), pages 171-178, January.
    2. M. Garcia & A. Cebrian, 1996. "Repeated substitution method: The ratio estimator for the population variance," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 43(1), pages 101-105, December.
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    Cited by:

    1. Etebong P C, 2018. "Improved Family of Ratio Estimators of Finite Population Variance in Stratified Random Sampling," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 5(2), pages 48-53, February.

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