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Limit Skeleton for Critical Crump-Mode-Jagers Branching Processes

  • Serik Sagitov
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 84)

Abstract

Take a critical branching population stemming from an individual with the total progeny size greater than n. Pick up individuals with the total progeny size greater than n. The related genealogical subtree has a limit structure of a special Bellman-Harris branching process as n→ ∞.

Keywords

C-M-J branching model critical branching Dynkin-Lamperti condition genealogical subtree limit skeleton. Key words and phrases. 

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References

  1. [1]
    Jagers, P. Branching processes with biological applications. London: Wiley, 1975, 268 p.zbMATHGoogle Scholar
  2. [2]
    O’Connell, N. Yule process approximation for the skeleton of a branching process, J. Appl. Probab. 1993.Google Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Serik Sagitov
    • 1
  1. 1.Institute of Theoretical & Applied MathematicsPushkin st. 125AlmatyKazakhstan

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