Abstract
Previous chapters 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 chapter extends the use of sample-path analysis to characterize the complete frequency distributions of a process with an imbedded point process, rather than just the marginal distributions. We define sample-path analogues of the time-stationary and eventstationary (Palm) probability measures for the processes in question, and then derive sample-path versions of the Palm transformation and inversion formulas.
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© 1999 Springer Science+Business Media New York
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El-Taha, M., Stidham, S. (1999). Sample-Path Approach to Palm Calculus. In: Sample-Path Analysis of Queueing Systems. International Series in Operations Research & Management Science, vol 11. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5721-0_8
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DOI: https://doi.org/10.1007/978-1-4615-5721-0_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7620-0
Online ISBN: 978-1-4615-5721-0
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