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Limiting distribution for subcritical controlled branching processes with random control function

Author

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  • González, M.
  • Molina, M.
  • del Puerto, I.

Abstract

This paper concerns the controlled branching process with random control function introduced by Yanev (Theor. Prob. Appl. 20 (1976) 421). Some relationships between its probability generating functions are established and the convergence in distribution of the population size to a nondegenerate and finite random variable is investigated.

Suggested Citation

  • González, M. & Molina, M. & del Puerto, I., 2004. "Limiting distribution for subcritical controlled branching processes with random control function," Statistics & Probability Letters, Elsevier, vol. 67(3), pages 277-284, April.
    • Handle: RePEc:eee:stapro:v:67:y:2004:i:3:p:277-284
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    Cited by:

    1. Sriram, T.N. & Bhattacharya, A. & González, M. & Martínez, R. & del Puerto, I., 2007. "Estimation of the offspring mean in a controlled branching process with a random control function," Stochastic Processes and their Applications, Elsevier, vol. 117(7), pages 928-946, July.
    2. Miguel González & Inés M. Puerto, 2012. "Diffusion Approximation of an Array of Controlled Branching Processes," Methodology and Computing in Applied Probability, Springer, vol. 14(3), pages 843-861, September.

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