Moments of the Ruin Time in a Lévy Risk Model

نویسندگان

چکیده

We derive formulas for the moments of ruin time in a L\'evy risk model and use these to determine asymptotic behavior as initial capital tends infinity. In special case perturbed Cram\'er-Lundberg with phase-type or exponentially distributed claims, we explicitly compute first two time. All our considerations distinguish between profitable unprofitable setting.

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ژورنال

عنوان ژورنال: Methodology and Computing in Applied Probability

سال: 2022

ISSN: ['1387-5841', '1573-7713']

DOI: https://doi.org/10.1007/s11009-022-09967-w