General Harris regularity criterion for non-linear Markov branching processes
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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
Full text not available from this repository.Official URL: http://dx.doi.org/10.1016/j.spl.2005.08.014
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 |
| 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 |
| Related URLs: | |
| Last Modified: | 31 Mar 2011 18:20 |
| URI: | http://gala.gre.ac.uk/id/eprint/962 |
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