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Ruin probability by operational calculus
Journal article   Peer reviewed

Ruin probability by operational calculus

Elias S.W Shiu
Insurance, mathematics & economics, Vol.8(3), pp.243-249
1989
DOI: 10.1016/0167-6687(89)90060-7

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Abstract

Two series formulas for the probability of eventual ruin in the collective risk model with a Poisson claim-number process are derived by the method of operational calculus. Some recent results of H.U. Gerber are also discussed.
Collective risk theory Infinite-time ruin probability Lagrange series Operational calculus Probability of eventual ruin Ultimate ruin probability

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