Confidence sets for change-point problems in nonparametric regression

Confidence sets for change-point problems in nonparametric regression

In this thesis, confidence sets for different nonparametric regression problems with change-points are developed. Uniform and pointwise asymptotic confidence bands for the jump-location-curve in a boundary fragment model using methods from M-estimation and Gaussian approximation are constructed for...

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Bibliographic Details
Main Author: Bengs,Viktor
Contributors: Holzmann, Hajo (Prof. Dr.) (Thesis advisor)
Format: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2018
Subjects:
image processing
Mathematik
Lepski’s method
confidence bands
change-point estimation
jump detection
nonpa
M-Estimation
limit theorems
Adaptive estimation
Mathematics
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