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Corners and Records of the Poisson Process in Quadrant


 
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1. Title Title of document Corners and Records of the Poisson Process in Quadrant
 
2. Creator Author's name, affiliation, country Alexander Gnedin; Utrecht University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) $k$-records, $k$-corners, self-similar Poisson process, Ignatov's theorem
 
3. Subject Subject classification 60G70
 
4. Description Abstract The scale-invariant spacings lemma due to Arratia, Barbour and Tavaré establishes the distributional identity of a self-similar Poisson process and the set of spacings between the points of this process. In this note we connect this result with properties of a certain set of extreme points of the unit Poisson process in the positive quadrant
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2008-04-09
 
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/1351
 
10. Identifier Digital Object Identifier 10.1214/ECP.v13-1351
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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