Chen, Anyue (2002) Uniqueness and extinction properties of generalised Markov branching processes. Journal of Mathematical Analysis and Applications, 274 (2). pp. 482-494. ISSN 0022-247X (doi:https://doi.org/10.1016/S0022-247X(02)00251-2)

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Abstract

This paper focuses on the basic problems regarding uniqueness and extinction properties for generalised Markov branching processes. The uniqueness criterion is firstly established and a differential–integral equation satisfied by the transition functions of such processes is derived. The extinction probability is then obtained. A closed form is presented for both the mean extinction time and the conditional mean extinction time. It turns out that these important quantities are closely related to the elementary gamma function.

Item Type:	Article
Uncontrolled Keywords:	Markov branching processes (MBP), generalised Markov branching processes (GMBP), uniqueness, differential–integral equation, extinction probability, mean extinction time, conditional mean extinction time
Subjects:	Q Science > QA Mathematics
Pre-2014 Departments:	School of Computing & Mathematical Sciences
Related URLs:	Publisher
Last Modified:	14 Oct 2016 09:01
URI:	http://gala.gre.ac.uk/id/eprint/605

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