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Some limit results for controlled branching processes with random control function

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Publication:876839
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DOI10.1007/s10958-006-0304-6zbMath1119.60069OpenAlexW1993681014MaRDI QIDQ876839

Manuel Molina, Inés M. del Puerto, Miguel González

Publication date: 19 April 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-006-0304-6

zbMATH Keywords

weak convergencecontrolled branching process


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)




Cites Work

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  • Stochastic difference equations and generalized gamma distributions
  • On population-size-dependent branching processes
  • On some classes of population-size-dependent Galton–Watson processes
  • A counterpart of the Borel-Cantelli lemma
  • Sums of i.i.d. random variables and an application to the explosion criterion for markov branching processes
  • Necessary and sufficient conditions for recurrence and transience of Markov chains, in terms of inequalities
  • On the class of controlled branching processes with random control functions
  • On the geometric growth in controlled branching processes with random control function
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