A question of geometry and probability
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Institute of Mathematical Statistics Lecture Notes - Monograph Series

A question of geometry and probability

Richard A. Vitale

Source: Anirban DasGupta, ed., A Festschrift for Herman Rubin (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2004), 337-341.

Abstract

We introduce the Aleksandrov-Fenchel inequality, apply it to a tail bound for Gaussian processes, and speculate on a further connection.

Primary Subjects: 52A40
Secondary Subjects: 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

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.lnms/1196285402
Mathematical Reviews (MathSciNet): MR2126909

Digital Object Identifier: doi:10.1214/lnms/1196285402

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2009 © Institute of Mathematical Statistics

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series