Disputation: Dennis Schroers
Doctoral candidate Dennis Schroers at the Department of Mathematics will be defending the thesis New Topics in Nonlinear Functional Data Analysis for the degree of Philosophiae Doctor.
Doctoral candidate Dennis Schroers
The PhD defence will be partially digital, in room 720, Niels Henrik Abels hus and streamed directly using Zoom. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.
Ex auditorio questions: the chair of the defence will invite the audience to ask questions ex auditorio at the end of the defence. If you would like to ask a question, click 'Raise hand' and wait to be unmuted.
Join the disputation
The webinar opens for participation just before the disputation starts, participants who join early will be put in a waiting room.
9th of September, time: 10:15 pm, room 720 and Zoom.
Join the trial lecture
The webinar opens for participation just before the trial lecture starts, participants who join early will be put in a waiting room.
Main research findings
Functional data analysis (FDA) comprises statistical methods for data that can be considered as partial or full observations of random curves, surfaces, or related smooth objects. Although much progress has been made in the last decades, a majority of these methods is linear and many important techniques remain absent from this infinite-dimensional branch of statistics.
In this dissertation, two key concepts from nonlinear multivariate statistics are introduced to the FDA toolbox: copulas and power variations. Both offer entirely new nonparametric ways to analyse dependence structures of various infinite-dimensional random objects and have immediate applications in fields such as mathematical finance or physics.
Due to the intrinsic infinite dimensionality, however, there are significant differences to their corresponding multivariate counterparts which give rise to various mathematical challenges that are addressed in this work.
- Professor Markus Riedle, King´s College London
- Professor Markus Bibinger, University of Würzburg
- Professor Tom Lindstrøm, University of Oslo
Chair of defence
Professor Nadia S. Larsen
Host of the session
Professor Tom Lindstrøm