This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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558
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Type:
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Invited
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Date/Time:
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Wednesday, August 4, 2010 : 2:00 PM to 3:50 PM
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Sponsor:
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IMS
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Abstract - #306162 |
Title:
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Theory and Applications for Multivariate Spacings Based on Data Depth
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Author(s):
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Jun Li*+ and Regina Liu and Juan A. Cuesta Albertos
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Companies:
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University of California, Riverside and Rutgers University and University of Cantabria
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Address:
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Department of Statistics, University of California, Riverside, CA, 92521,
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Keywords:
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Data depth ;
multivariate spacings ;
order statistics
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Abstract:
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In this talk, we introduce and study multivariate spacings. The spacings are developed using the order statistics derived from data depth. These multivariate spacings can be viewed as a data-driven realization of the so-called ``statistically equivalent blocks". These spacings assume a form of center-outward layers of ``shells" (``rings" in the two-dimensional case), where the shapes of the shells follow closely the underlying probabilistic geometry. The properties and applications of these spacings are studied.
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