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2 results

  • A sample-path approach to Palm probabilities

  • Part of
  • Shaler Stidham, Jr.
  • Journal:
    Journal of Applied Probability / Volume 31 / Issue 2 / June 1994
    Published online by Cambridge University Press:
    14 July 2016, pp. 430-437
    Print publication:
    June 1994

  • Previous papers have established sample-path versions of relations between marginal time-stationary and event-stationary (Palm) state probabilities for a process with an imbedded point process. This paper extends the use of sample-path analysis to provide relations between frequencies for arbitrary (measurable) sets in function space, rather than just marginal (one-dimensional) frequencies. We define sample-path analogues of the time-stationary and event-stationary (Palm) probability measures for a process with an imbedded point process, and then derive sample-path versions of the Palm transformation and inversion formulas.

  • H = λG and the Palm transformation

  • Part of
  • Ward Whitt
  • Journal:
    Advances in Applied Probability / Volume 24 / Issue 3 / September 1992
    Published online by Cambridge University Press:
    01 July 2016, pp. 755-758
    Print publication:
    September 1992
    • Article
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  • We show that the stationary version of the queueing relation H = λG is equivalent to the basic Palm transformation for stationary marked point processes.