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| Untersuchte Arbeit: Seite: 93, Zeilen: 7-12 |
Quelle: Daley VereJones 2003 Seite(n): 184, Zeilen: 4-7, 21-24 |
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| The events immigrants arrive according to a Poisson process at the constant rate μ, while the offspring arise as elements of a finite Poisson process that is associated with some point already constructed.
An important task is to find conditions that ensure the existence of stationary in this process, i.e., of realizations of point sets {ti} on the whole space T = IR having structure above and with distribution invariant under translation. |
Immigrants {yj}, say, arrive according to a Poisson process at constant rate μc, while the offspring arise as elements of a finite Poisson process that is associated with some point already constructed. [...]
An important task is to find conditions that ensure the existence of a stationary Hawkes process (i.e. of realizations of point sets {xi} on the whole space X = IRd having the structure above and with distributions invariant under translation). |
Auf S. 91 findet sich folgender Hinweis auf die Quelle: "The results shown in the next section are based on first volume of Daley and Vere-Jones (2003)." Wörtliche Zitate sind damit aber nicht abgedeckt. Die folgende Proposition 4.3.7. findet sich dann auch sehr ähnlich in der Quelle (Seite 203) |
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