Abstract
We introduce the Aleksandrov-Fenchel inequality, apply it to a tail bound for Gaussian processes, and speculate on a further connection.
Information
Published: 1 January 2004
First available in Project Euclid: 28 November 2007
zbMATH: 1268.52006
MathSciNet: MR2126909
Digital Object Identifier: 10.1214/lnms/1196285402
Subjects:
Primary:
52A40
Secondary:
52A05
,
52A39
,
60D05
,
60G15
Keywords:
Aleksandrov-Fenchel inequality
,
Brunn-Minkowski inequality
,
convex body
,
Gaussian process
,
intrinsic volume
,
Isoperimetric inequality
,
mean width
,
Steiner formula
,
tail bound
Rights: Copyright © 2004, Institute of Mathematical Statistics