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Title: A Note on the Extinction Problem for Controlled Multitype Branching Processes
Authors: Gonzalez, Miguel
Martinez, Rodrigo
Mota, Manuel
Keywords: Controlled multitype branching processes
random control
homogeneous mutitype Markov chains
Issue Date: 2005
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 17, No 1, (2005), 85p-96p
Abstract: In this paper we consider a discrete time controlled multitype branching process with random control in discrete time. We provide sufficient conditions for the almost sure extinction of the process as well as for its indefinite growth with a positive probability. Moreover an illustrative example is shown and some simulations are given.
Description: 2000 Mathematics Subject Classification: 60J80, 60J10.
ISSN: 0204-9805
Appears in Collections:2005 Volume 17

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