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On the geometric growth in controlled branching processes with random control function

  • M. González (a1), M. Molina (a1) and I. del Puerto (a1)

Abstract

The limit behaviour of a controlled branching process with random control function is investigated. A necessary condition and a sufficient condition for the geometric growth of such a process are established by considering the L 1-convergence. Finally, taking into account the classical X log+ X criterion in branching processes, a necessary and sufficient condition is provided.

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Postal address: Departamento de Matemáticas, Facultad de Ciencias, 06071 Badajoz, Spain
∗∗ Email address: idelpuerto@unex.es

References

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González, M., Molina, M., and del Puerto, I. (2002). On the class of controlled branching process with random control functions. J. Appl. Prob. 39, 804815.
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Journal of Applied Probability
  • ISSN: 0021-9002
  • EISSN: 1475-6072
  • URL: /core/journals/journal-of-applied-probability
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