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Non-local Branching Superprocesses and Some Related Models

Author

Listed:
  • Donald A. Dawson

    (School of Mathematics and Statistics, Carleton University)

  • Luis G. Gorostiza

    (Department of Mathematics, Beijing Normal University)

Abstract

A new formulation of non-local branching superprocesses is given from which we derive as special cases the rebirth, the multitype, the mass-structured, the multilevel and the age-reproduction-structured superprocesses and the superprocesscontrolled immigration process. This uni ed treatment simpli es considerably the proof of existence of the old classes of superprocesses and also gives rise to some new ones.

Suggested Citation

  • Donald A. Dawson & Luis G. Gorostiza, 2001. "Non-local Branching Superprocesses and Some Related Models," RePAd Working Paper Series lrsp-TRS363, Département des sciences administratives, UQO.
    • Handle: RePEc:pqs:wpaper:0072005
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    File URL: http://www.repad.org/ca/on/lrsp/TRS363.pdf
    File Function: First version, 2001
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    More about this item

    Keywords

    superprocess; non-local branching; rebirth; multitype; mass-structured; multilevel; age-reproduction-structured; superprocess-controlled immigration.;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General

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