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General branching p...
General branching processes conditioned on extinction are still branching processes
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- Jagers, Peter, 1941 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematisk statistik,Department of Mathematical Sciences, Mathematical Statistics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- Lagerås, Andreas Nordvall (author)
- Stockholms universitet,Matematiska institutionen,Matematisk statistik
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(creator_code:org_t)
- 2008
- 2008
- English.
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In: Electronic Communications in Probability. - 1083-589X. ; 13, s. 540-547
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Keyword
- supercritical
- subcritical
- multi-type branching process
- general branching process
- Crump-Mode-Jagers process
- subcritical
Publication and Content Type
- ref (subject category)
- art (subject category)
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