Abstract
The situation is that of sections 6, 7, 8 and 9. The main features of interest in the present section are the existence of a stationary point process (N, θt, P) where \( N = \sum\limits_{n \in Z/} {{\delta _{{T_n}}}} \) and of a sequence of marks (Un, n ∈ Z/) where \( {U_n} = \left( {{X_{n - 1}},{{\tilde \sigma }_{n - 1}},{X_n},{{\hat Y}_n}} \right) \in G \times S \times G \times (\mathop \pi \limits_{s \in S} {\hat M_s}){\kern 1pt} \). Recall that Xn = X(Tn) is the state at time Tn, and σ̃n-1 is the site of A(Xn-1) which triggers the transition Xn-1 → Xn, i.e. \( {X_{n - 1}}\mathop \to \limits^{{{\tilde \sigma }_{n - 1}}} {X_n} \).
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© 1987 Springer-Verlag Berlin Heidelberg
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Baccelli, F., Brémaud, P. (1987). Poisson Streams. In: Palm Probabilities and Stationary Queues. Lecture Notes in Statistics, vol 41. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7561-0_18
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DOI: https://doi.org/10.1007/978-1-4615-7561-0_18
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96514-7
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