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:10.1016/j.spl.2005.08.014)Full text not available from this repository.
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.
|Uncontrolled Keywords:||Markov branching process, non-linear Markov branching process, regularity|
|Subjects:||Q Science > QA Mathematics|
|School / Department / Research Groups:||School of Computing & Mathematical Sciences|
School of Computing & Mathematical Sciences > Department of Mathematical Sciences
School of Computing & Mathematical Sciences > Statistics & Operational Research Group
|Last Modified:||31 Mar 2011 18:20|
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