Design-based Estimators Calibrated on Estimated Totals from Multiple Surveys

Alessio Guandalini & Yves Tillé

Résumé The use of auxiliary variables to improve the efficiency of estimators is a well-known strategy in survey sampling. Typically, the auxiliary variables used are the totals of appropriate measurement that are exactly known from registers or administrative sources. Increasingly, however, these totals are estimated from surveys and are then used to calibrate estimators and improve their efficiency. We consider different types of survey structures and develop design-based estimators that are calibrated on known as well as estimated totals of auxiliary variables. The optimality properties of these estimators are studied. These estimators can be viewed as extensions of the Montanari generalised regression estimator adapted to the more complex situations. The paper studies interesting special cases to develop insights and guidelines to properly manage the survey-estimated auxiliary totals.
Citation Guandalini, A., & Tillé, Y. (2017). Design-based Estimators Calibrated on Estimated Totals from Multiple Surveys. International Statistical Review, 85(2), 250-269.
Type Article de périodique (Anglais)
Date de publication 1-8-2017
Nom du périodique International Statistical Review
Volume 85
Numéro 2
Pages 250-269
URL http://onlinelibrary.wiley.com/doi/10.1111/insr.12160/abs...
Liée au projet Convention Université de Neuchâtel/Office fédéral de la s...