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Analysis of a Recurrence Related to Critical Nonhomogeneous Branching Processes  (Make Corrections)  
Michael Drmota Guy Louchard Nickolay M. Yanev June 23, 2004



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Abstract: Some classes of controlled branching processes (with nonhomogeneous migration or with nonhomogeneous state-dependent immigration) lead in the critical case to a recurrence for the extinction probabilities. Under some additional conditions it is known that this recurrence depends on some parameter and converges for 0 < < 1: Now we show that the above recurrence does converge for all positive values of the parameter which leads to an extension of some limit theorems for the corresponding... (Update)

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BibTeX entry:   (Update)

@misc{ guy-analysis,
  author = "Michael Drmota Guy",
  title = "Analysis of a Recurrence Related to Critical Nonhomogeneous Branching Processes",
  url = "citeseer.ist.psu.edu/635869.html" }
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