Une projection de processus ponctuels

Summary In this paper we characterize the, what we call, visible projection of a point process on an arbitrary space as a Radon-Nikodym-derivative in the same manner the dual previsible projection of a process on ₊ is defined by Dellacherie and Meyer 1]; this visible projection turns out to coïncide with the conditional intensity as defined by Papangelou 3]; a neat behaviour is imposed to the point process by only one intuïtively clear condition, which is proved to be equivalent to the classical smoothnessconditions () and (*).

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Ces recherches ont été subventionées par l'Organisation Néerlandaise pour le Développement de la Recherche Scientifique (Z.W.O.; n de bourse 62–138) et partiellement par le Centre National de la Recherche Scientifique