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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Call Number: urn:nbn:de:hebis:04-z2018-05119
Publication Date: 2019-04-24
Date of Acceptance: 2018-09-27
Downloads: 47 (2024), 104 (2023), 98 (2022), 72 (2021), 65 (2020), 34 (2019)
License: https://rightsstatements.org/vocab/InC-NC/1.0/
Access URL: https://archiv.ub.uni-marburg.de/diss/z2018/0511
https://doi.org/10.17192/z2018.0511

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