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Bounds for classical ruin probabilities. (English) Zbl 0547.62068
This paper derives upper and lower bounds for the ruin probability over infinite time. The key observation is that if \(u=k*(1-u),\) then \(v-u=(v- k*(1-v))*(1-u),\) where \((f*g)(x)=\int^{x}_{0}f(x-y)dg(y)\). Applications to sub-exponential distributions are also given.
Reviewer: E.Shiu

MSC:
62P05 Applications of statistics to actuarial sciences and financial mathematics
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