On exit times of Lévy-driven Ornstein–Uhlenbeck processes

نویسندگان

  • Konstantin Borovkov
  • Alexander Novikov
چکیده

We prove two martingale identities which involve exit times of Lévy-driven Ornstein–Uhlenbeck processes. Using these identities we find an explicit formula for the Laplace transform of the exit time under the assumption that positive jumps of the Lévy process are exponentially distributed.

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تاریخ انتشار 2008