This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
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Activity Number:
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3
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Type:
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Invited
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Date/Time:
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Sunday, August 1, 2010 : 2:00 PM to 3:50 PM
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Sponsor:
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General Methodology
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| Abstract - #306008 |
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Title:
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Limit Theory for Multivariate Shape Constraints: Partial Results, Open Problems, and Conjectures
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Author(s):
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Jon A. Wellner*+
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Companies:
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University of Washington
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Address:
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Statistics, Seattle, WA, 98195-4322,
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Keywords:
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shape constrained ;
multivariate ;
estimation ;
monoton ;
convex
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Abstract:
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Asymptotic theory for shape constrained curve estimation in one-dimension has developed rapidly in the last 10-15 years, with results available for monotone, convex, and k-monotone function estimates. On the other hand, asymptotic theory for shape constrained function estimation in several dimensions has seen relatively little activity and presents a large number of challenging open problems. In this talk I will review several different problems involving shape constrained function estimation in the case in which the unknown function to be estimated isa function of d real variables with d at least 2. I will discuss some partial results, review a few of the many open problems, and state conjectures in several cases of particular interest.
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The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
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