IX: 06, 226-236, LNM 465 (1975)
CHOU, Ching Sung;
MEYER, Paul-André
Sur la représentation des martingales comme intégrales stochastiques dans les processus ponctuels (
General theory of processes)
Dellacherie has studied in
405 the filtration generated by a point process with one single jump. His study is extended here to the filtration generated by a discrete point process. It is shown in particular how to construct a martingale which has the previsible representation property
Comment: In spite or because of its simplicity, this paper has become a standard reference in the field. For a general account of the subject, see He-Wang-Yan,
Semimartingale Theory and Stochastic Calculus, CRC~Press 1992
Keywords: Point processes,
Previsible representationNature: Original Retrieve article from Numdam