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Uniform estimates for the finite-time ruin probability in the dependent renewal risk model. (English) Zbl 1229.91169

The paper deals with the dependent renewal risk model, in particular focusing on the finite-time ruin probability, when the claim sizes are i.i.d. with strongly subexponential tails and the interarrival times are negatively dependent.
Moreover, the authors obtain an asymptotic estimate, which holds uniformly for the time horizon varying in the positive half line.

MSC:

91B30 Risk theory, insurance (MSC2010)
91B70 Stochastic models in economics
60K10 Applications of renewal theory (reliability, demand theory, etc.)
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