(dt. Nichtparametrische Statistik)
|Level, degree of commitment in original study programme||Advanced module, compulsory elective module|
|Forms of teaching and learning,
|Lecture (3 SWS), recitation class (1 SWS), |
180 hours (60 h attendance, 120 h private study)
Course requirement: Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written or oral examination
|German oder English,The grading is done with 0 to 15 points according to the examination regulations for study course M.Sc. Business Mathematics.|
|Original study programme||M.Sc. Wirtschaftsmathematik / Mathematische Vertiefungs- und Praxismodule|
|One semester, |
Regelmäßig im Wechsel mit anderen advanced moduleen
|Person in charge of the module's outline||Prof. Dr. Markus Bibinger, Prof. Dr. Hajo Holzmann|
- Non-parametric density estimation, core estimator, projection estimator, upper barriers for point by point, uniform and integrated risk
- Lower bounds and optimal rates
- Lepski's scheme and adaptivity
- Nonparametric regression, local polynomial estimators
- Model in white noise, Pinsker estimation and Pinsker constant
- Wavelet estimation
The students shall
- get an insight into a current research area of nonparametric statistics,
- acquire the basic techniques within the field of nonparametric statistics,
- practice mathematical methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof methods),
- improve their oral communication skills in the recitation classes by practicing free speech in front of an audience and during discussion.
None. The competences taught in the following modules are recommended: either Foundations of Mathematics and Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis, Mathematical Statistics.
- Tsybakov, A. (2009) Introduction to nonparametric estimation. Springer
- Johnstone, I. (2013) Gaussian estimation: Sequence and wavelet models.
This page describes a module according to the latest valid module guide in Wintersemester 2020/21. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:
- WiSe 2016/17 (no corresponding element)
- SoSe 2018 (no corresponding element)
- WiSe 2018/19
- WiSe 2019/20
- WiSe 2020/21
- SoSe 2021
- WiSe 2021/22
- WiSe 2022/23
The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.
The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.