Finite-Time Ruin Probabilities for Discrete, Possibly Dependent, Claim Severities

Stéphane Loisel and Claude Lefèvre ()
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Claude Lefèvre: ULB - Département de Mathématique [Bruxelles] - ULB - Faculté des Sciences [Bruxelles] - ULB - Université libre de Bruxelles

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Abstract: This paper is concerned with the compound Poisson risk model and two generalized models with still Poisson claim arrivals. One extension incorporates inhomogeneity in the premium input and in the claim arrival process, while the other takes into account possible dependence between the successive claim amounts. The problem under study for these risk models is the evaluation of the probabilities of (non-)ruin over any horizon of finite length. The main recent methods, exact or approximate, used to compute the ruin probabilities are reviewed and discussed in a unified way. Special attention is then paid to an analysis of the qualitative impact of dependence between claim amounts.

Keywords: non-stationary claim arrivals; interdependent claim amounts; impact of dependence; comonotonic risks; heavy-tailed distributions; compound Poisson model; ruin probability; finite-time horizon; recursive methods; (generalized) Appell polynomials; non-constant premium (search for similar items in EconPapers)
Date: 2009
Note: View the original document on HAL open archive server: https://hal.science/hal-00201377v1
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Citations: View citations in EconPapers (16)

Published in Methodology and Computing in Applied Probability, 2009, 11 (3), pp.425-441. ⟨10.1007/s11009-009-9123-9⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00201377

DOI: 10.1007/s11009-009-9123-9

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