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Applied Mathematics
Article . 2013 . Peer-reviewed
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Applied Mathematics
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arXiv.org e-Print Archive
Preprint . 2012
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https://dx.doi.org/10.48550/ar...
Article . 2012
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https://dx.doi.org/10.4236/am....
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Decomposition of Supercritical Linear-Fractional Branching Processes

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2013Embargo end date: 01 Jan 2012Publisher:Scientific Research Publishing, Inc.Journal:Applied Mathematics, volume 4, pages 352-359 (issn: 2152-7385, eissn: 2152-7393, Copyright policy )
Authors: Sagitov, Serik; Shaimerdenova, Altynay;

doi: 10.4236/am.2013.42054 , 10.48550/arxiv.1211.4613

arXiv: 1211.4613

Decomposition of Supercritical Linear-Fractional Branching Processes

Abstract

It is well known that a supercritical single-type Bienyam��-Galton-Watson process can be viewed as a decomposable branching process formed by two subtypes of particles: those having infinite line of descent and those who have finite number of descendants. In this paper we analyze such a decomposition for the linear-fractional Bienyam��-Galton-Watson processes with countably many types.

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Keywords

Probability (math.PR), FOS: Mathematics, Mathematics - Probability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
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