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.

picture of the candidate

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.

Trial lecture

9th of September, time: 10:15 pm, room 720 and Zoom.  

"Statistics for SPDEs"
  • 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.

Adjudication committee

  • Professor Markus Riedle, King´s College London
  • Professor Markus Bibinger, University of Würzburg 
  • Professor Tom Lindstrøm, University of Oslo

Supervisors

Chair of defence

Professor Nadia S. Larsen

Host of the session

Professor Tom Lindstrøm

 

Organizer

Department of Mathematics
Published Aug. 26, 2022 9:40 AM - Last modified Aug. 29, 2022 8:42 AM