Nonparametric estimation and testing in survival models

  • The aim of this paper is to demonstrate that nonparametric smoothing methods for estimating functions can be an useful tool in the analysis of life time data. After stating some basic notations we will present a data example. Applying standard parametric methods to these data we will see that this approach fails - basic features of the underlying functions are not reflected by their estimates. Our proposal is to use nonparametric estimation methods. These methods are explained in section 2. Nonparametric approaches are better in the sense that they are more flexible, and misspecifications of the model are avoided. But, parametric models have the advantage that the parameters can be interpreted. So, finally, we will formulate a test procedure to check whether a parametric or a nonparametric model is appropriate.

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Metadaten
Author details:Henning Läuter, Hannelore Liero
URN:urn:nbn:de:kobv:517-opus-51586
Publication series (Volume number):Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint (2004, 05)
Publication type:Preprint
Language:English
Publication year:2004
Publishing institution:Universität Potsdam
Release date:2011/03/29
RVK - Regensburg classification:SI 990
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
DDC classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
License (German):License LogoKeine öffentliche Lizenz: Unter Urheberrechtsschutz
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