Risk Theory pp 131-148 | Cite as

The Renewal Risk Model

  • Hanspeter Schmidli
Part of the Springer Actuarial book series (SPACT)


In order to generalise the Cramér-Lundberg model, the inter-claim times are changed from an exponential to an arbitrary distribution of strictly positive random variables. We show that most of the results for the classical risk model can be generalised to the renewal model. The ruin probabilities are approximated in the small and in the large claims case. In the small claims case, we also find bounds for the ruin probabilities in finite time.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of CologneCologneGermany

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