Abstract Details
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Activity Number:
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15
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Type:
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Topic Contributed
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Date/Time:
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Sunday, August 4, 2013 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Nonparametric Statistics
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| Abstract - #308543 |
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Title:
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Global Minimax Bounds for Estimating Log-Concave Densities
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Author(s):
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Arlene K.H. Kim*+ and Richard Samworth
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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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Minimax bounds ;
Log-concavity ;
Assouad's lemma ;
Global loss
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Abstract:
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We obtain the optimal minimax rates of convergence for estimating multi-dimensional log-concave densities. We show that the minimax rate is the same as for estimating densities with two bounded derivatives.
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Authors who are presenting talks have a * after their name.
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