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SUMMARY:Log-concave distributions: definitions\, properties\, and conseque
 nces - Jon A. Wellner\, University of Washington
DTSTART:20120502T140000Z
DTEND:20120502T150000Z
UID:TALK37907@talks.cam.ac.uk
CONTACT:Richard Samworth
DESCRIPTION:In this talk I will review some results concerning log-concave
  distributions on one and higher dimensional Euclidean spaces\, with empha
 sis on preservation results\, strong log-concavity for both discrete and c
 ontinuous distributions\, and connections with questions arising from stat
 istics.   \n                \nI will sketch a proof of the log-concavity o
 f Chernoff's distribution\, and briefly mention further problems.     \n\n
 Some background material for this talk is given in the book 'Unimodality\,
  Convexity and Applications' by S. Dharmadhikari and K. Joag-dev\, Academi
 c Press\, 1988. 
LOCATION:MR5\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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