Ramesh, N ORCID: 0000-0001-6373-2557 , 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:	Publisher Organisation
Last Modified:	27 Oct 2020 14:50
URI:	http://gala.gre.ac.uk/id/eprint/962

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