Calibration Estimation in Survey Sampling
Kim, Jae Kwang
Calibration estimation, where the sampling weights are adjusted to make certain estimators match known population totals, is commonly used in survey sampling. The generalized regression estimator is an example of a calibration estimator. Given the functional form of the calibration adjustment term, we establish the asymptotic equivalence between the functional-form calibration estimator and an instrumental variable calibration estimator where the instrumental variable is directly determined from the functional form in the calibration equation. Variance estimation based on linearization is discussed and applied to some recently proposed calibration estimators. The results are extended to the estimator that is a solution to the calibrated estimating equation. Results from a limited simulation study are presented.
This is a manuscript of an article published as Kim, Jae Kwang, and Mingue Park. "Calibration estimation in survey sampling." International Statistical Review 78, no. 1 (2010): 21-39. doi:10.1111/j.1751-5823.2010.00099.x. Posted with permission.