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General linear-frac...
General linear-fractional branching processes with discrete time.
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- Lindo, Alexey, 1987 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology,Göteborgs universitet,University of Gothenburg
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- Sagitov, Serik, 1956 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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(creator_code:org_t)
- 2017-08-02
- 2018
- Engelska.
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Ingår i: Stochastics. - : Informa UK Limited. - 1744-2508 .- 1744-2516. ; 90:3, s. 364-378
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Abstract
Ämnesord
Stäng
- We study a linear-fractional Bienayme-Galton-Watson process with a general type space. The corresponding tree contour process is described by an alternating random walk with the downward jumps having a geometric distribution. This leads to the linear-fractional distribution formula for an arbitrary observation time, which allows us to establish transparent limit theorems for the subcritical, critical and supercritical cases. Our results extend recent findings for the linear-fractional branching processes with countably many types.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Crump-Mode-Jagers process
- Bienayme-Galton-Watson process with a general type space
- General linear-fractional distribution
- general Markov chains and irreducible kernels
- General linear-fractional distribution
- general Markov chains and irreducible kernels
- Bienayme-
- trees
- Mathematics
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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