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General Harris regularity criterion for non-linear Markov branching processes

General Harris regularity criterion for non-linear Markov branching processes

Ramesh, N, Chen, A and Li, J (2006) General Harris regularity criterion for non-linear Markov branching processes. Statistics & Probability Letters, 76. pp. 446-452. ISSN 0167-7152 (doi:https://doi.org/10.1016/j.spl.2005.08.014)

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Abstract

We extend the Harris regularity condition for ordinary Markov branching process to a more general case of non-linear Markov branching process. A regularity criterion which is very easy to check is obtained. In particular, we prove that a super-linear Markov branching process is regular if and only if the per capita offspring mean is less than or equal to I while a sub-linear Markov branching process is regular if the per capita offspring mean is finite. The Harris regularity condition then becomes a special case of our criterion.

Item Type: Article
Uncontrolled Keywords: Markov branching process, non-linear Markov branching process, regularity
Subjects: Q Science > QA Mathematics
Pre-2014 Departments: School of Computing & Mathematical Sciences
School of Computing & Mathematical Sciences > Department of Mathematical Sciences
School of Computing & Mathematical Sciences > Statistics & Operational Research Group
Related URLs:
Last Modified: 14 Oct 2016 09:02
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/962

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