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Functional limiting theorem for branching processes with immigration

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Cybernetics and Systems Analysis Aims and scope

Abstract

A special case of branching processes with immigrants at random instants of time is considered. The process parameters are close to critical ones. A sequence of such processes normalized in a certain way is proved to converge to a diffusion process in uniform topology. As a consequence, the limiting behavior of integral functionals is studied.

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References

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    E. A. Lebedev & V. V. Semenov

Authors
  1. E. A. Lebedev
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  2. V. V. Semenov
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Corresponding author

Correspondence to E. A. Lebedev.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 152–161, May–June 2010.

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Lebedev, E.A., Semenov, V.V. Functional limiting theorem for branching processes with immigration. Cybern Syst Anal 46, 485–493 (2010). https://doi.org/10.1007/s10559-010-9223-0

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  • DOI: https://doi.org/10.1007/s10559-010-9223-0

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