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Galindo, C. D. and Kauermann, Göran and Liang, H. and Carroll, R. J. (2000): Bootstrap Confidence Intervals For Local Likelihood, Local Estimating Equations And Varying Coefficient Models. Collaborative Research Center 386, Discussion Paper 205




Four powerful generalizations of the usual local polynomial nonparametric regression methodology are (a) local polynomial methods in generalized linear models; (b) varying coefficient generalized linear models, where the possibly multivariate coefficients in a generalized linear model are estimated nonparametrically; (c) local likelihood methods; and (d) local estimating equations, which generalize nonparametric regression to the estimating equation context. We construct bootstrap confidence intervals for the nonparametrically estimated functions in all four contexts.