Moments of the Ruin Time in a Lévy Risk Model

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Abstract

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

Details

OriginalspracheEnglisch
Seiten (von - bis)3075-3099
Seitenumfang25
FachzeitschriftMethodology and Computing in Applied Probability
Jahrgang24
Ausgabenummer4
Frühes Online-Datum30 Juli 2022
PublikationsstatusVeröffentlicht - Dez. 2022
Peer-Review-StatusJa

Externe IDs

WOS 000833446500001
Scopus 85145429970
ORCID /0000-0002-9999-7589/work/142238031

Schlagworte

Schlagwörter

  • Cramer-Lundberg risk process, Exponential claims, Laplace transforms, Moments, Phase-type distributions, Ruin theory, Ruin time, Spectrally negative Levy process

Bibliotheksschlagworte