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Ruin estimates under interest force. (English) Zbl 0838.62098
Summary: We discuss infinite time ruin probabilities in continuous time in a compound Poisson process with a constant premium rate and a constant interest rate. We discuss equations for the ruin probability as well as approximations and upper and lower bounds. Two special cases are treated in more detail: the case with zero initial reserve, and the case with exponential claim sizes.

62P05 Applications of statistics to actuarial sciences and financial mathematics
45H05 Integral equations with miscellaneous special kernels
Full Text: DOI
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