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arXiv 2011-02-20 DOI 10.3150/11-BEJ404 0 views

Parisian ruin probability for spectrally negative Lévy processes

Loeffen, Ronnie · Czarna, Irmina · Palmowski, Zbigniew

Original · EN

In this note we give, for a spectrally negative Levy process, a compact formula for the Parisian ruin probability, which is defined by the probability that the process exhibits an excursion below zero, with a length that exceeds a certain fixed period r. The formula involves only the scale function of the spectrally negative Levy process and the distribution of the process at time r.

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