Geodesic
On the conditional intensity of a random measure
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 103-109.

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We prove the existence of the conditional intensity of a random measure that is absolutely continuous with respect to its mean; when there exists an L$^{p}$-intensity, $p>1$, the conditional intensity is obtained at the same time almost surely and in the mean.
Classification : 60G44, 60G55, 60G57
Keywords: random measure; point process; conditional intensity; absolute continuity; martingales 
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Jacob, Pierre; Oliveira, Paulo Eduardo. On the conditional intensity of a random measure. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 103-109. http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a10/