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Branching Processes with Local Dependencies

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Classical and Modern Branching Processes

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

Abstract

This paper is an overview of results for branching processes with dependencies that are local in the family tree. We illustrate principal problems by giving some simple examples of Galton-Watson processes with sibling dependencies. Results for general (Crump-Mode-Jagers) processes are stated and discussed without proofs.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Chalmers Institute of Technology, Göteborg, S-412 96, Sweden

    Peter Olofsson

Authors
  1. Peter Olofsson
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, Iowa State University, Ames, IA, 50011, USA

    Krishna B. Athreya

  2. School of Mathematics and Computing Science, Chalmers University of Technology, Gothenburg University, Gothenburg, S-412 96, Sweden

    Peter Jagers

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© 1997 Springer Science+Business Media New York

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Olofsson, P. (1997). Branching Processes with Local Dependencies. In: Athreya, K.B., Jagers, P. (eds) Classical and Modern Branching Processes. The IMA Volumes in Mathematics and its Applications, vol 84. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1862-3_19

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  • DOI: https://doi.org/10.1007/978-1-4612-1862-3_19

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7315-8

  • Online ISBN: 978-1-4612-1862-3

  • eBook Packages: Springer Book Archive

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