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Multitype population size-dependent branching processes with dependent offspring

Author

Listed:
  • González, Miguel
  • Martínez, Rodrigo
  • Mota, Manuel

Abstract

In this paper, the multitype population size-dependent branching process with dependent offspring is introduced and the probability of extinction of such a process is investigated. Sufficient conditions for both almost sure extinction and survival of the process are shown to depend on the Perron-Frobenius eigenvalue of adequate limit matrices. Finally, theoretical results are illustrated with an example.

Suggested Citation

  • González, Miguel & Martínez, Rodrigo & Mota, Manuel, 2004. "Multitype population size-dependent branching processes with dependent offspring," Statistics & Probability Letters, Elsevier, vol. 70(2), pages 145-154, November.
    • Handle: RePEc:eee:stapro:v:70:y:2004:i:2:p:145-154
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