seminars:datasci:031423 [Department of Mathematics and Statistics, Binghamton University]

This page is read only. You can view the source, but not change it. Ask your administrator if you think this is wrong.
<WRAP centeralign>##Data Science Seminar##\\ Hosted by the Department of Mathematics and Statistics</WRAP>

  * Date: Tuesday, March 14, 2023
  * Time: 12:00pm -- 1:00pm
  * Room: Zoom
  * Speaker: Dr. Holger Dette (Ruhr-Universitaet Bochum)
  * Title: Functional data analysis on Banach spaces.

<WRAP center box 80%>
<WRAP centeralign>**//Abstract//**</WRAP>
 \\
Functional data analysis is typically conducted within the L2-Hilbert
space framework. In this talk we go one step further and develop data
analysis methodology for functional time series in the space of all
continuous functions. The work is motivated by the fact that objects
with rather different shapes may still have a small L2-distance and are
therefore identified as similar when using an L2-metric. However, in
applications it is often desirable to use metrics reflecting the
visualization of the curves in the statistical analysis.
We develop two-sample tests as well as confidence bands, as these
procedures appear do be conducive to the proposed setting. Particular
interest is put on relevant differences; that is, on not trying to test
for exact equality, but rather for pre-specified deviations under the
null hypothesis.  The procedures are justified through large-sample
theory. To ensure practicability, non-standard bootstrap procedures are
developed and investigated addressing particular features that arise in
the problem of testing relevant hypotheses.  If time permits, we will
extend these results to the  function on function linear model using
an RKHS approach.
 \\
 

Biography of the speaker: Dr. Dette is a leading researcher in mathematical statistics, in
particular in optimal experimental design, time series analysis,
functional data, nonparametric statistics and biostatistics. Most of his
research is motivated by concrete applications and he is collaborating
with several pharmaceutical companies and with the European Medicines
Agency (EMA) and the Food and Drug Administration (FDA).
Until today he has supervised about 55 PhD students in all areas of
statistics has published more than 380 publications in peer reviewed
journals. He is a fellow of the American Statistical Association, a
fellow of the Institute of Mathematical Statistics, an elected member of
the International Statistical Institute and was and is editor of several
leading journals in the field.

</WRAP>