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A Markov Property for Set-Indexed Processes

Author

Listed:
  • R. M. Balan

    (University of Ottawa)

  • B. G. Ivanoff

    (University of Ottawa)

Abstract

We consider a type of Markov property for set-indexed processes which is satisfied by all processes with independent increments and which allows us to introduce a transition system theory leading to the construction of the process. A set-indexed generator is defined such that it completely characterizes the distribution of the process.

Suggested Citation

  • R. M. Balan & B. G. Ivanoff, 2002. "A Markov Property for Set-Indexed Processes," Journal of Theoretical Probability, Springer, vol. 15(3), pages 553-588, July.
    • Handle: RePEc:spr:jotpro:v:15:y:2002:i:3:d:10.1023_a:1016296330187
    DOI: 10.1023/A:1016296330187
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    References listed on IDEAS

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    1. Balan, R. M., 2001. "A strong Markov property for set-indexed processes," Statistics & Probability Letters, Elsevier, vol. 53(2), pages 219-226, June.
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    Cited by:

    1. Paul Balança, 2015. "An Increment-Type Set-Indexed Markov Property," Journal of Theoretical Probability, Springer, vol. 28(4), pages 1271-1310, December.

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