(1) Subfaculteit Wiskunde, Universiteit Leiden, Wassenaarseweg 80, 2333 AL Leiden, Nederland
Abstract:
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 (*).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