MATHEMATICS COLLOQUIUM
Speaker: Victor Patrangenaru
Title: Central Limit Theorems (CLTs) on Manifolds: Theory
and Applications
Affiliation: Texas Tech
Date: Friday, October 28, 2005.
Place and Time: Room 101 - Love Building, 3:35-4:30 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.
Abstract.
Using the so called "Cramer delta method" we derive CLTs for Frechet
means of distributions on closed submanifolds of Euclidean spaces or on
complete Riemannian manifolds. Based on CLTs we then estimate parameters
of distributions on manifolds, leading to applications in astronomy,
geology, shape and image analysis, face recognition, medical imaging
and bioinformatics.
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