CONVEX BODIES AND GAUSSIAN PROCESSES

CONVEX BODIES AND GAUSSIAN PROCESSES

For several decades, the topics of the title have had a fruitful interaction. This survey will describe some of these connections, including the GB/GC classification of convex bodies, Ito-Nisio singularities from a geometric viewpoint, Gaussian representation of intrinsic volumes, theWills functiona...

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Bibliographic Details
Main Author: Richard A Vitale
Format: Article
Language:English
Published: Slovenian Society for Stereology and Quantitative Image Analysis 2011-05-01
Series:Image Analysis and Stereology
Subjects:
convex body
Gaussian process
intrinsic volume
random convex body
strong law of large numbers for random convex bodies
Wills functional
Online Access:http://www.ias-iss.org/ojs/IAS/article/view/864
Description
Summary:For several decades, the topics of the title have had a fruitful interaction. This survey will describe some of these connections, including the GB/GC classification of convex bodies, Ito-Nisio singularities from a geometric viewpoint, Gaussian representation of intrinsic volumes, theWills functional in a Gaussian context, and inequalities.
ISSN:1580-3139
1854-5165

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