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Estimation of quadratic finite, Population functions using calibration

Author

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  • Dalius Pumputis
  • Andrius Čiginas

Abstract

Since the quadratic finite population functions can be expressed as totals over a synthetic population consisting of some ordered pairs of elements of the initial population, the traditional and penalized calibration technique is used to derive some calibrated estimators of the quadratic finite population functions. A linear combination of estimators discussed is considered as well. A comparison of approximate variances of the calibrated estimators is also presented. A simulation study is performed to analyze the empirical properties of the calibrated estimators of the finite population variance and covariance which appear as special cases of the quadratic functions. It is shown also how the calibrated estimators of the population covariance (variance) can be applied in regression estimation of the finite population total.

Suggested Citation

  • Dalius Pumputis & Andrius Čiginas, 2011. "Estimation of quadratic finite, Population functions using calibration," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 12(2), pages 309-330, October.
    • Handle: RePEc:csb:stintr:v:12:y:2011:i:2:p:309-330
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    References listed on IDEAS

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    1. Sitter R.R. & Wu C., 2002. "Efficient Estimation of Quadratic Finite Population Functions in the Presence of Auxiliary Information," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 535-543, June.
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