Poisson Cluster process as a model for teletraffic arrivals and its ...
Poisson Cluster process as a model for teletraffic arrivals and its ...
Poisson Cluster process as a model for teletraffic arrivals and its ...
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Statistical issues<br />
To fit a cluster <strong>model</strong> to data it useful to know<br />
the stationary (Palm) distribution of the interarrival<br />
times. This can be computed explicitly:<br />
exp<br />
F0(t) =: P0(T1 > t) =<br />
1<br />
EK + 1<br />
�<br />
−λ(t + EK<br />
(1 + EKP(X > t))<br />
� t<br />
0<br />
�<br />
P(X > x) dx)<br />
.<br />
13
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