Structured nonparametric curve estimation

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 c...

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Bibliographische Detailangaben
1. Verfasser: Mammen, Enno (VerfasserIn)
Dokumenttyp: Kapitel/Artikel
Sprache:Englisch
Veröffentlicht: Cham Springer 2016
In: Modern Problems of Stochastic Analysis and Statistics
Year: 2016, Pages: 335-345
DOI:10.1007/978-3-319-65313-6_14
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1007/978-3-319-65313-6_14
Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-319-65313-6_14
Cover: https://swbplus.bsz-bw.de/bsz497165902cov.jpg
Volltext
Verfasserangaben:Enno Mammen
Beschreibung
Zusammenfassung: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.
Beschreibung:First online: 22 November 2017
Gesehen am 15.01.2018
Beschreibung:Online Resource
ISBN:9783319653136
DOI:10.1007/978-3-319-65313-6_14