Optimal calibration estimators in survey sampling

Optimal calibration estimators in survey sampling

We show that the model-calibration estimator for the finite population mean, which was proposed by Wu & Sitter (2001) through an intuitive argument, is optimal among a class of calibration estimators. We also present optimal calibration estimators for the finite population distribution function, the population variance, the variance of a linear estimator and other quadratic finite population fu...

Optimal Calibration Estimators under Two-phase Sampling

Calibration approach estimators in stratified sampling

Calibration is commonly used in survey sampling to include auxiliary information to increase the precision of the estimates of population parameter. In this paper, we newly propose various calibration approach ratio estimators and derive the estimator of the variance of the calibration approach ratio estimators in stratified sampling. r 2006 Elsevier B.V. All rights reserved.

Finding Optimal Estimators in Survey Sampling Using Un- Biased Estimators of Zero

Minimum mean squared error linear unbiased estimation of the total of a nite population is investigated utilizing a characterization of such estimators involving unbiased estimators of zero. Several criteria emerging from taking either or both of the design and a model into account are discussed. For each criterion, necessary and su cient conditions for existence of a best estimator and the opt...

Calibration estimation in survey sampling

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 ...