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Sample paths of jump-type Fleming-Viot processes with bounded mutation operators

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  • da Silva, Telles Timóteo
  • Fragoso, Marcelo D.

Abstract

The subject matter of this paper is the analysis of some fine properties (some path properties) of a jump-type Fleming-Viot process. It is shown that such processes exhibit sample paths contained in the set of atomic measures, when the mutation operator is bounded.

Suggested Citation

  • da Silva, Telles Timóteo & Fragoso, Marcelo D., 2008. "Sample paths of jump-type Fleming-Viot processes with bounded mutation operators," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1784-1791, September.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:13:p:1784-1791
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    References listed on IDEAS

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    1. da Silva, Telles T. & Fragoso, Marcelo D., 2006. "A note on jump-type Fleming-Viot processes," Statistics & Probability Letters, Elsevier, vol. 76(8), pages 821-830, April.
    2. da Silva, Telles T. & Fragoso, Marcelo D., 2006. "Invariant measures for jump-type Fleming-Viot processes," Statistics & Probability Letters, Elsevier, vol. 76(8), pages 796-802, April.
    3. A. Dawson, Donald & Feng, Shui, 2001. "Large deviations for the Fleming-Viot process with neutral mutation and selection, II," Stochastic Processes and their Applications, Elsevier, vol. 92(1), pages 131-162, March.
    4. Dawson, Donald A. & Feng, Shui, 1998. "Large deviations for the Fleming-Viot process with neutral mutation and selection," Stochastic Processes and their Applications, Elsevier, vol. 77(2), pages 207-232, September.
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    Cited by:

    1. da Silva, Telles Timóteo & Fragoso, Marcelo Dutra, 2012. "Absolutely continuous measure for a jump-type Fleming–Viot process," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 557-564.

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