Abstract Details
Activity Number:
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218
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Type:
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Invited
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Date/Time:
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Monday, August 10, 2015 : 2:00 PM to 3:50 PM
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Sponsor:
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IMS
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Abstract #314185
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View Presentation
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Title:
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Shape-Constrained Density Estimation: Past, Present, and Future
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Author(s):
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Richard J. Samworth* and Arlene Kyoung Hee Kim
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Companies:
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University of Cambridge and University of Cambridge
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Keywords:
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Shape constraint ;
Log-concavity ;
Hellinger distance
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Abstract:
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Nonparametric shape constraints such as monotonicity and convexity make for very natural modelling assumptions in many commonly-encountered statistical problems. They have the potential to offer freedom from restrictive parametric assumptions, while still permitting fully automatic procedures, with no tuning parameters to choose. I will describe some of the key recent developments in the context of density estimation, presenting in particular new theoretical results on the global rate of convergence in the central problem of estimating a log-concave density.
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Authors who are presenting talks have a * after their name.
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