Article: article from journal or magazin.
On a gamma series expansion for the time-dependent probability of collective ruin
Insurance: Mathematics and Economics
In the framework of the extended classical risk model with constant force of real interest i, we investigate when it is suitable to represent the probability of collective survival U(x, t) of an insurance company with initial capital x and time horizon t as a gamma series. Moreover, we derive exact analytical solutions for exponentially distributed claim sizes and integer values of lambda /i where lambda is the risk parameter. As a by-product we observe that numerical procedures for estimating U(x, t) are very accurate.
Classical risk model, Ruin probability, Finite time interval, Real interest force
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