Small Area Estimation by Splitting the Sampling Weights

Toky Randrianasolo & Yves Tillé

Résumé A new method is proposed for small area estimation. The prin-
ciple is based upon the splitting of the sampling weights between the areas. A matrix of weights is defined. Each column of this matrix enables us to estimate the total of the variables of interest at the level of an area. This method automatically satisfies the coherence property between the local estimates and the overall estimate. Moreover, the local estimators are calibrated on auxiliary information available at the level of the small areas. This methodology also enables the use of composite estimators that are weighted means between a direct estimator and a synthetic estimator. Once the weights are computed, the estimates can be easily computed for any variable of interest. A set of simulations shows the interest of the proposed method.
Mots-clés Indirect estimator, matrix calibration, weights.
Citation Randrianasolo, T., & Tillé, Y. (2013). Small Area Estimation by Splitting the Sampling Weights. Electronic Journal of Statistics, 7, 1835-1855.
Type Article de périodique (Anglais)
Date de publication 1-7-2013
Nom du périodique Electronic Journal of Statistics
Volume 7
Pages 1835-1855
URL http://projecteuclid.org/DPubS?service=UI&version=1.0&ver...
Liée au projet Convention Université de Neuchâtel/Office fédéral de la s...