onr:"swepub:oai:gup.ub.gu.se/77532"
Search: onr:"swepub:oai:gup.ub.gu.se/77532" > General branching p...
- 1 of 1
- Previous record
- Next record
- To hitlist
General branching processes in discrete time as random trees.
-
- 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
-
- Sagitov, Serik, 1956 (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
- (creator_code:org_t)
- 2008
- 2008
- English.
- In: Bernoulli. - 1350-7265. ; 14:4, s. 949-962
- Journal article (peer-reviewed)
Abstract
Subject headings
Close
- The simple Galton-Watson process describes populations where individuals live one season and are then replaced by a random number of children. It can also be viewed as a way of generating random trees, each vertex being an individual of the family tree. This viewpoint has led to new insights and a revival of classical theory. We show how a similar reinterpretation can shed new light on the more interesting forms of branching processes that allow repeated bearings and, thus, overlapping generations. In particular, we use the stable pedigree law to give a transparent description of a size-biased version of general branching processes in discrete time. This allows us to analyse the xlog x condition for exponential growth of supercritical general processes, and also the relation between simple Galton-Watson and more general branching processes.
Subject headings
- NATURVETENSKAP -- Biologi -- Annan biologi (hsv//swe)
- NATURAL SCIENCES -- Biological Sciences -- Other Biological Topics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Keyword
- random trees
- size-biased distributions
- Galton-Watson
- Crump-Mode-Jagers
- size-biased distributions
Publication and Content Type
- ref (subject category)
- art (subject category)
- 1 of 1
- Previous record
- Next record
- To hitlist
Find more in SwePub
- By the author/editor
- Jagers, Peter, 1 ...
- Sagitov, Serik, ...
- About the subject
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Biological Scien ...
- and Other Biological ...
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Mathematics
- and Probability Theo ...
- Articles in the publication
- Bernoulli
- By the university
- University of Gothenburg
- Chalmers University of Technology
Search outside SwePub
- Extend your search to:
- Google Book Search
- Google Scholar
Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.
- Copyright © LIBRIS - National Library Systems
- LIBRIS.kb.se
