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Article #9

Statistics Colloquium: Decomp. theorem for dist. on symmetric cones

#9
From: Ruth Croxford
Date: Mon, 13 Nov 1989 22:39
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Colloquium, Department of Statistics, University of Toronto

Topic:    An exact decomposition theorem for distributions on symmetric cones.
Speaker:  Helene Massam, York University
Date:     Thursday, November 23, 1989   4:00 - 5:00
Place:    Room 1085, Sidney Smith Hall, 100 St. George St., U of T
Abstract:
     Given a sample (x1, x2, ..., xn) from the normal, gamma, or the inverse
gaussian distribution, the joint probability density of (x1, x2, ..., xn) can
be decomposed into the product of densities of n independent quantities.  The
splitting is done in such a way that the data points are incorporated into 
the successive quantities one at a time.  We show this property holds true for 
a general class of distributions on symmetric cones, including the Wishart
distribution.  Moreover, the splitting is "transmitted" through the process
of conditioning on the unit orbit in the symmetric cone.
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Newsgroups: utstat.general,ont.events,sci.math.stat
Path: arc1-ca.pugleaf.net!utzoo!utstat!ruth
From: ruth@utstat.uucp (Ruth Croxford)
Subject: Statistics Colloquium: Decomp. theorem for dist. on symmetric cones
Message-ID: <1989Nov13.223923.10523@utstat.uucp>
Organization: Statistics, U. of Toronto
Distribution: ont
Date: Mon, 13 Nov 89 22:39:23 GMT