Show Summary Details

Page of

PRINTED FROM OXFORD HANDBOOKS ONLINE ( © Oxford University Press, 2018. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a title in Oxford Handbooks Online for personal use (for details see Privacy Policy and Legal Notice).

date: 22 August 2019

Abstract and Keywords

Much applied research in statistics, economics, and other fields is concerned with estimating a conditional mean or quantile function. Often it is assumed that this function is known up to a finite-dimensional parameter that can be estimated by least squares or other familiar methods. However, a parametric model is usually arbitrary and can be highly misleading if it is misspecified. Fully nonparametric estimation is an alternative approach that essentially eliminates the possibility of misspecification, but the curse of dimensionality makes nonparametric estimation infeasible with samples of practical size when the explanatory variable is multidimensional. This chapter reviews methods for estimating a class of models, called nonparametric additive models, that make assumptions that are stronger than those of fully nonparametric methods but much weaker than those of parametric methods. Under mild assumptions, nonparametric additive models avoid the curse of dimensionality but are more flexible than parametric models. This makes nonparametric additive models attractive for applied research. This chapter explains what nonparametric additive models are and describes methods for estimating them. The usefulness of these models is illustrated with an empirical example.

Keywords: nonparametric estimation, curse of dimensionality, dimension reduction

Access to the complete content on Oxford Handbooks Online requires a subscription or purchase. Public users are able to search the site and view the abstracts and keywords for each book and chapter without a subscription.

Please subscribe or login to access full text content.

If you have purchased a print title that contains an access token, please see the token for information about how to register your code.

For questions on access or troubleshooting, please check our FAQs, and if you can''t find the answer there, please contact us.