The asymptotic composition of supercritical, multi-type branching populations

  • Peter Jagers
  • Olle Nerman
Part of the Lecture Notes in Mathematics book series (LNM, volume 1626)


The life, past and future are described of a typical individual in an old, non-extinct branching population, where individuals may give birth as a point process and have types in an abstract type space. The type, age and birth-rank distributions of the typical individual are explicitly given, as well as the Markov renewal type process that describes her history. The convergence of expected and actual compositions towards stable, asymptotic compositions is proved.


Typical Individual Transition Kernel Life Career Life Space Population Space 
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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Peter Jagers
    • 1
  • Olle Nerman
    • 1
  1. 1.Department of MathematicsChalmers University of Technology and Gothenburg UniversityGöteborgSweden

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