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Department of Mathematical Sciences

Academic Staff

Publication details for Jochen Einbeck

Einbeck, Jochen, Augustin, Thomas & Singer, Julio M. (2007), Smoothing, Sampling, and Basu's elephants, in del Castillo, Joan, Espinal, Anna & Puig, Pere eds, Proceedings of the IWSM 22nd International Workshop on Statistical Modelling. Barcelona, Spain., IDESCAT, Barcelona, 245-248.

Author(s) from Durham

Abstract

We investigate design-weighted local smoothing and show that the optimal (bias-minimizing) weights have similar form and interpretation as the optimal weights given by the Horvitz-Thompson theorem known from sampling theory. We set forth that the hazards in using bias-minimizing weights apply to kernel smoothing, too, suggesting to be cautious with the application of bias-minimizing weights in general.