The Local Time of the Classical Risk Process

Details The Local Time of the Classical Risk Process The Local Time of the Classical Risk Process

2008-01-14

arxiv.org/abs/0801.2106v1

Mathematics

Probability

15 pages

Scientific paper

In this paper we give an explicit expression for the local time of the classical risk process and associate it with the density of an occupational measure. To do so, we approximate the local time by a suitable sequence of absolutely continuous random fields. Also, as an application, we analyze the mean of the times $s \in [0,T]$ such that $0\leq X_{s} \leq X_{s+\epsilon} $ for some given $\epsilon>0$.

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