Bernoulli

  • Bernoulli
  • Volume 11, Number 3 (2005), 559-570.

On the unlimited growth of a class of homogeneous multitype Markov chains

Miguel González, Rodrigo Martínez, and Manuel Mota

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Abstract

We consider a homogeneous multitype Markov chain whose states have non-negative integer coordinates, and give criteria for deciding whether or not the chain grows indefinitely with positive probability. The results are applied to study the extinction problem in a general class of controlled multitype branching processes.

Article information

Source
Bernoulli, Volume 11, Number 3 (2005), 559-570.

Dates
First available in Project Euclid: 5 July 2005

Permanent link to this document
https://projecteuclid.org/euclid.bj/1120591189

Digital Object Identifier
doi:10.3150/bj/1120591189

Mathematical Reviews number (MathSciNet)
MR2147775

Zentralblatt MATH identifier
1073.60069

Keywords
homogeneous multitype Markov chains multitype branching processes unlimited growth

Citation

González, Miguel; Martínez, Rodrigo; Mota, Manuel. On the unlimited growth of a class of homogeneous multitype Markov chains. Bernoulli 11 (2005), no. 3, 559--570. doi:10.3150/bj/1120591189. https://projecteuclid.org/euclid.bj/1120591189


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References

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