2022
DOI: 10.1007/s11009-022-09950-5
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Analysis of IBNR Liabilities with Interevent Times Depending on Claim Counts

Abstract: We extend a recently proposed stochastic loss reserving model for liabilities from incurred but not reported (IBNR) micro-level claims. We propose viewing the number of claims from an event as a measure of catastrophic severity. This view covers catastrophes with arbitrarily many classes of magnitude. Our Markovian model allows the time between disasters to depend on the previous event’s level of severity. Simultaneously, we let the discount rate vary in the same manner. First, we find the moments of IBNR liab… Show more

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“…This does not happen in the incident-reporting world. Classically, the IBNR calculation is based on the “chain ladder” method and IBNR claims are calculated by multiplying the previous year’s IBNR claims amount by the ratio of change in the incurred losses amount [ 15 ]. The “chain ladder” method is thoroughly explained in Appendix A .…”
Section: Introductionmentioning
confidence: 99%
“…This does not happen in the incident-reporting world. Classically, the IBNR calculation is based on the “chain ladder” method and IBNR claims are calculated by multiplying the previous year’s IBNR claims amount by the ratio of change in the incurred losses amount [ 15 ]. The “chain ladder” method is thoroughly explained in Appendix A .…”
Section: Introductionmentioning
confidence: 99%