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Concentration of random polytopes around the expected convex hull


 
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1. Title Title of document Concentration of random polytopes around the expected convex hull
 
2. Creator Author's name, affiliation, country Daniel J. Fresen; Yale University; United States
 
2. Creator Author's name, affiliation, country Richard A. Vitale; University of Connecticut; United States
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) random polytope; law of large numbers; log-concave; expected convex hull; floating body
 
3. Subject Subject classification 60D05; 60F05; 60F15; 52A20; 52A22; 52A23; 53A27; 52B11
 
4. Description Abstract We provide a streamlined proof and improved estimates for the weak multivariate Gnedenko law of large numbers on concentration of random polytopes within the space of convex bodies (in a fixed or a high dimensional setting), as well as a corresponding strong law of large numbers.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2014-08-26
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/3376
 
10. Identifier Digital Object Identifier 10.1214/ECP.v19-3376
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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