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Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays


 
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1. Title Title of document Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays
 
2. Creator Author's name, affiliation, country Raluca M Balan; University of Ottawa
 
2. Creator Author's name, affiliation, country Sana Louhichi; Universite Paris-sud
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) infinite divisibility, point process, asymptotic independence, weak convergence, extremal index
 
3. Subject Subject classification 60E07; 60G55; 60G10
 
4. Description Abstract In this article, we consider a stationary array of random variables (which satisfy some asymptotic independence conditions), and the corresponding sequence of point processes. Our main result identifies some explicit conditions for the convergence of the sequence of point processes in terms of the probabilistic behavior of the variables in the array.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Natural Sciences and Engineering Research Council of Canada; ANL
 
7. Date (YYYY-MM-DD) 2010-09-30
 
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/1563
 
10. Identifier Digital Object Identifier 10.1214/ECP.v15-1563
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 15
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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