Abstracts
The Palm theory in space is based on Mecke’s measure and also applies to nonstationary point processes. It retains some features of the theory restricted to the line. The missing result is the “event-time stationarity”: it is not true in general that given an enumeration \( \left\{ {X_{n} } \right\}_{{n \in {\mathbb{N}}}} \) of the points of N, the distribution of N and that of \( N - X_{n} \) with respect to the Palm probability are the same.
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Brémaud, P. (2020). Palm Probability in Space. In: Point Process Calculus in Time and Space. Probability Theory and Stochastic Modelling, vol 98. Springer, Cham. https://doi.org/10.1007/978-3-030-62753-9_8
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DOI: https://doi.org/10.1007/978-3-030-62753-9_8
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-030-62753-9
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