publication . Thesis . 2005

Generalized Markov branching models

Li, Junping;
Open Access English
  • Published: 01 Oct 2005
  • Publisher: University of Greenwich,
  • Country: United Kingdom
Abstract
In this thesis, we first considered a modified Markov branching process incorporating both state-independent immigration and resurrection. After establishing the criteria for regularity and uniqueness, explicit expressions for the extinction probability and mean extinction time are presented. The criteria for recurrence and ergodicity are also established. In addition, an explicit expression for the equilibrium distribution is presented.\ud \ud We then moved on to investigate the basic properties of an extended Markov branching model, the weighted Markov branching process. The regularity and uniqueness criteria of such general structures are first established. T...
Subjects
free text keywords: QA
Related Organizations

3.6. Non-linear Markov Branching Processes ........"""""""""""""("91) 3.7. Examples ............................................. """"""(101) 3.8. Notes ..................................................... -(109) 0.

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