Unequal probability sampling and repeated surveys
Résumé This document is divided into two parts. The first part revolves around the properties of some unequal probability survey sampling designs, and the second part deals with repeated surveys. While the topics developed in these two parts appear to be largely different, they are in fact related. The first part is devoted to the study of properties of two sampling designs with fixed size. In a first chapter we show that maximum entropy sampling with fixed size is more efficient than sampling with replacement. In a second chapter we prove that systematic sampling is a minimum support design. We also give some results on the variance of the Horvitz-Thompson estimator for maximum entropy and for minimum support designs. The second part begins with a case study of the estimation of variance of evolutions in the Swiss panel on value added. In a second chapter, we give covariance estimators for rotating panels with unequal inclusion probabilities. Finally, we describe a coordination method of maximum entropy samples that was developed for the Swiss Federal Statistical Office.
Mots-clés Maximal entropy ; Sample coordination ; Variance, Systematic ; sampling design
Citation Qualité, L. (2009). Unequal probability sampling and repeated surveys, Université de Neuchâtel, Neuchâtel.
Type Thèse (Anglais)
Année 2009
Departement academique Institut de Statistique
Université Université de Neuchâtel (Neuchâtel)
URL http://doc.rero.ch/lm.php?url=1000,40,4,20090707141632-EV...