Nonparametric regression techniques provide an e ective way of identifying and examiningstructure in regression data The standard approaches to nonparametric regression suchas local polynomial and smoothing spline estimators are sensitive to unusual observations and alternatives designed to be...

In this paper we consider the estimation of a density f on the basis of random sample from a weighted distribution G with density g given by g(x) = w(x)f(x)/ Atilde; Acirc;micro;w, where w(u)gt;0 for all u and Atilde; Acirc;micro;w = Atilde;cent;Acirc; Acirc;laquo; w(u)f(u)du lt; Atilde;cent;Acirc; Acirc; . A...

An improved AIC-based criterion is derived for model selection in general smoothing-basedmodeling, including semiparametric models and additive models. Examples areprovided of applications to goodness-of-fit, smoothing parameter and variable selectionin an additive model and semiparametric...