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General branching processes conditioned on extinction are still branching processes


 
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1. Title Title of document General branching processes conditioned on extinction are still branching processes
 
2. Creator Author's name, affiliation, country Peter Jagers; Chalmers University of Technology and University of Gothenburg
 
2. Creator Author's name, affiliation, country Andreas Nordvall Lagerås; Department of Mathematics, Stockholm University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) supercritical; subcritical; extinction; multi-type branching process; general branching process; Crump-Mode-Jagers process
 
3. Subject Subject classification 60J80
 
4. Description Abstract It is well known that a simple, supercritical Bienaymé-Galton-Watson process turns into a subcritical such process, if conditioned to die out. We prove that the corresponding holds true for general, multi-type branching, where child-bearing may occur at different ages, life span may depend upon reproduction, and the whole course of events is thus affected by conditioning upon extinction.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Swedish Research Council; the Science Faculty of the University of Gothenburg
 
7. Date (YYYY-MM-DD) 2008-10-19
 
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/1419
 
10. Identifier Digital Object Identifier 10.1214/ECP.v13-1419
 
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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