Estimation of the finite population covariance using calibration

Estimators of the finite population covariance with several systems of weights are considered. New calibrated estimators of the finite population covariance (variance) are derived, using two and three weighting systems that are defined by various calibration equations and loss functions. The expressions of approximate variance for some of these estimators are presented. The estimators derived are compared by simulation. Finally, it is shown how the calibrated estimators of the covariance may be applied in regression estimation of the finite population total

Estimation of the Finite Population Covariance

Some calibrated estimators of the finite population covariance are presented. The estimators are constructed using different calibration equations and different loss functions. In the most cases the explicit solution of the calibration problem does not exist. The approximate iterative equations for the calibrated weights can be derived