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Yule process sample path asymptotics


 
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1. Title Title of document Yule process sample path asymptotics
 
2. Creator Author's name, affiliation, country Arnaud de La Fortelle; Mines Paris
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Large deviations, random trees, branching process, fluid limit, Yule process, martingale, change of measure
 
3. Subject Subject classification 60F10
 
4. Description Abstract This paper presents two results on sample paths for the Yule process: one fluid limit theorem and one sample path large deviation result. The main interest is to understand the way large deviation occurs in the case of non-homogeneous processes. There are indeed two new phenomena. First there is no ``typical'' speed of large deviation. Second, the large deviation event is concentrated on a finite interval of time.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2006-09-14
 
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/1215
 
10. Identifier Digital Object Identifier 10.1214/ECP.v11-1215
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 11
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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