Poisson approximation for point processes via monotone couplings
Brown, Timothy C. ; Greig, Darryl
Ann. Appl. Probab., Tome 6 (1996) no. 1, p. 545-560 / Harvested from Project Euclid
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Monotonicity properties of certain classes of point processes with respect to the Palm measure are exploited to derive upper and lower bounds on the total variation distance away from Poisson of these processes. The results obtained are applied to new better than used and new worse than used renewal processes and to a Cox process with rates given by a two state Markov chain.
Publié le : 1996-05-14
Classification:  Poisson approximation,  monotone couplings,  Cox process,  NBU,  NWU renewal process,  60G55,  60K05,  60J25 
@article{1034968143,
     author = {Brown, Timothy C. and Greig, Darryl},
     title = {Poisson approximation for point processes via monotone
		 couplings},
     journal = {Ann. Appl. Probab.},
     volume = {6},
     number = {1},
     year = {1996},
     pages = { 545-560},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1034968143}
}

Brown, Timothy C.; Greig, Darryl. Poisson approximation for point processes via monotone
		 couplings. Ann. Appl. Probab., Tome 6 (1996) no. 1, pp.  545-560. http://gdmltest.u-ga.fr/item/1034968143/