Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/65347
Authors: 
Horowitz, Joel L.
Mammen, Enno
Year of Publication: 
2002
Series/Report no.: 
Discussion Papers, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes 2002,63
Abstract: 
This paper describes an estimator of the additive components of a nonparametric additive model with a known link function. When the additive components are twice continuously differentiable, the estimator is asymptotically normally distributed with a rate of convergence in probability of n -2/5 . This is true regardless of the (finite) dimension of the explanatory variable. Thus, in contrast to the existing asymptotically normal estimator, the new estimator has no curse of dimensionality. Moreover, the asymptotic distribution of each additive component is the same as it would be if the other components were known with certainty.
Subjects: 
nonparametric regression
additive models
multivariate curve estimation
kernel estimates
orthogonal series estimator
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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