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Structured Nonparametric Curve Estimation

  • Enno MammenEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 208)

Abstract

In this note, we discuss structured nonparametric models. Under a structured nonparametric model, we understand a non- or semiparametric model with several nonparametric components where one of the nonparametric components lies in the focus of statistical interest but where all other nonparametric components are nuisance parameters. In structured nonparametrics, the focus of the statistical analysis is inference on this component whereas the goodness of fit of the whole model is only of secondary interest. This creates new challenging problems in the theory of nonparametrics. We will outline this in this note by discussing two classes of models from structured nonparametrics and by highlighting the theoretical questions arising in these classes of models.

Keywords

Structured nonparametrics Kernel smoothing Nonparametric additive models Chain ladder mode 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Heidelberg UniversityHeidelbergGermany

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