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An occupation time approach for convergence of measure-valued processes, and the death process of a branching system

Author

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  • Gorostiza, L. G.
  • Lopez-Mimbela, J. A.

Abstract

An occupation time approach for weak convergence of measure-valued processes is given, and it is exemplified by proving convergence of a branching particle system to a Dawson-Watanabe superprocess. The limiting death process of the branching particle system is shown to coincide with the occupation time of the Dawson-Watanabe superprocess, which explains a remark of Dawson (1992) and yields a new interpretation of the superprocess.

Suggested Citation

  • Gorostiza, L. G. & Lopez-Mimbela, J. A., 1994. "An occupation time approach for convergence of measure-valued processes, and the death process of a branching system," Statistics & Probability Letters, Elsevier, vol. 21(1), pages 59-67, September.
    • Handle: RePEc:eee:stapro:v:21:y:1994:i:1:p:59-67
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    Cited by:

    1. D. A. Dawson & L. G. Gorostiza & A. Wakolbinger, 2001. "Occupation Time Fluctuations in Branching Systems," Journal of Theoretical Probability, Springer, vol. 14(3), pages 729-796, July.

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