Estimation of Quadratic Finite Population Functions Using Calibration

• Authors: Pumputis Dalius , Čiginas Andrius
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

calibrated estimator; penalized calibration; auxiliary variables; approximate variance

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2011
• Volume: 12
• Issue: 2
• Pages: 309-330

Contributors

author

Pumputis Dalius

• Lithuanian University of Educational Sciences

author

Čiginas Andrius

• Vilnius University

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