Publication details for Jochen EinbeckEinbeck, 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.
- Publication type: Conference Paper
- ISSN/ISBN: 978-84-690-5943-2
- Keywords: Weighting, Horvitz-Thompson estimator; local polynomials
- Further publication details on publisher web site
Author(s) from Durham
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.