SEMINARS |
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Spring 2008
STATISTICS
COLLOQUIUM
Wednesday, January 30, 2008
3:30-4:00—Refreshments, Yost 327
4:00-5:00—Talk,
Yost, Room 101
Jiayang Sun, PhD
Statistics Department
Case Western Reserve University
Tube Method and Its Applications
In this talk, we first review the tube method as to how it connects to probability, statistics and a little bit of differential geometry, and present its applications to large deviations and to a great array of statistical problems. We then show our new general simultaneous confidence regions (SCR) for the mean response surface from a spatially-correlated Negative Binomial (NB) regression model. The motivation for the SCR for a NB model came from analyzing neuronal imaging data which are often overdispersed, heterogeneous, and spatially correlated. Some numerical studies and real data applications will also be presented.
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