Accesso libero

The ruin problem for a Wiener process with state-dependent jumps

   | 09 lug 2020
INFORMAZIONI SU QUESTO ARTICOLO

Cita

Let X(t) be a jump-diffusion process whose continuous part is a Wiener process, and let T (x) be the first time it leaves the interval (0,b), where x = X(0). The jumps are negative and their sizes depend on the value of X(t). Moreover there can be a jump from X(t) to 0. We transform the integro-differential equation satisfied by the probability p(x) := P[X(T (x)) = 0] into an ordinary differential equation and we solve this equation explicitly in particular cases. We are also interested in the moment-generating function of T (x).

eISSN:
1339-0015
ISSN:
1336-9180
Lingua:
Inglese
Frequenza di pubblicazione:
2 volte all'anno
Argomenti della rivista:
Computer Sciences, Information Technology, Mathematics, Logic and Set Theory, Probability and Statistics, Applied Mathematics