Uniform convergence rates and uniform adaptive estimation in mixtures of regressions

In this thesis, we develop theoretical tools to examine estimators in non-parametric regression models in regard of uniform convergence rates and uniform adaptivity with respect to the smoothness of the parameter functions. Subsequently, those are applied to non-parametric regression models with Höl...

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Bibliografiska uppgifter
Huvudupphovsman: Werner, Heiko
Övriga upphovsmän: Holzmann, Hajo (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Materialtyp: Dissertation
Språk:engelska
Publicerad: Philipps-Universität Marburg 2018
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Sammanfattning:In this thesis, we develop theoretical tools to examine estimators in non-parametric regression models in regard of uniform convergence rates and uniform adaptivity with respect to the smoothness of the parameter functions. Subsequently, those are applied to non-parametric regression models with Hölder-smooth parameter functions. One model is a mixture of Gaussian regressions and the other model is a mixture model with two components and an unspecified symmetric error distribution.
Fysisk beskrivning:166 Seiten
DOI:10.17192/z2019.0100