Extremal versus additive Matérn point processes.

Abstract : In the simplest Matérn point processes one retains certain points of a Poisson point process in such a way that no pairs of points are at distance less than a threshold. This condition can be reinterpreted as a threshold condition on an extremal shot-noise field associated with the Poisson point process. This paper is focused on the case where one retains points that satisfy a threshold condition based on an additive shot-noise field of the Poisson point process. We provide an analytical characterization of the intensity of this class of point processes and we compare the packing obtained by the extremal and additive schemes and certain combinations thereof.
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Article dans une revue
Queueing Systems, Springer Verlag, 2012, 71 (1-2), pp.179-197. 〈10.1007/s11134-012-9280-3〉
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Contributeur : Fabien Mathieu <>
Soumis le : samedi 1 février 2014 - 18:44:38
Dernière modification le : vendredi 31 août 2018 - 09:12:06

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François Baccelli, Paola Bermolen. Extremal versus additive Matérn point processes.. Queueing Systems, Springer Verlag, 2012, 71 (1-2), pp.179-197. 〈10.1007/s11134-012-9280-3〉. 〈hal-00940540〉

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