Date of Award
May 2022
Degree Type
Thesis
Degree Name
Master of Science
Department
Mathematics
First Advisor
Daniel Gervini
Committee Members
Wei Wei, David Spade
Keywords
Comedian, Median, scaled median absolute deviation
Abstract
The standard estimators of the parameter of the Ornstein-Uhlenbeck process are vulnerable to contamination in the data sets. In this thesis more robust estimators for the parameter of the Ornstein-Uhlenbeck process are proposed which use medians instead of means. The scaling for these estimators is more complex and numerical methods must be used. A possible numerical implementation is described. The performance of the standard estimators and the proposed robust estimators are compared on data sets with different levels of contamination and different kind of errors. This thesis shows that the proposed robust estimators can be considerably better than the standard estimators on contaminated data sets.
Recommended Citation
Kramer, Timon Sebastian, "Robust Estimation of Ornstein-Uhlenbeck Parameters" (2022). Theses and Dissertations. 2913.
https://dc.uwm.edu/etd/2913