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Exterior Differential Systems and the Method of Equivalence |
| May 05, 2008 to May 09, 2008 |
| Organized By: Jeanne Clelland, William F. Shadwick (Chair) and George Wilkens |
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| Return to Workshop Description |
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The Geometry of Probability Distributions: A New Central Limit Theorem
Tuesday May 6, 2008
09:30AM - 10:30AM
Speakers:
Ana Cascon
William Shadwick
Abstract:
Abstract for Cascon Shadwick talk "The Geometry of Probability Distributions: A New Central Limit Theorem"
Omega functions are a recently discovered way of representing probability distributions with finite first moment. The geometry of omega functions and the equivalence problem for the affine group reveals remarkable structure in the space of such distributions. This includes a natural measure of dispersion about the mean, improvements on the Markov and Chebychev inequalities, a new affine invariant and a new central limit theorem.
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