Abstract
We build an estimator for the evolution of a finite population total between two periods of time when auxiliary information is available. A superpopulation model is introduced in order to explain the relationship between the study and the auxiliary variables. The regression functions are estimated by regression splines and Horvitz–Thompson technique. Finally, an estimator for the evolution is derived and proved to be asymptotically unbiased and consistent and we compute a design-based variance formula. To cite this article: C. Goga, C. R. Acad. Sci. Paris, Ser. I 339 (2004).
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