Second order corrections for the limits of normalized ruin times in the presence of heavy tails

Details Second order corrections for the limits of normalized ruin times in the presence of heavy tails Second order corrections for the limits of normalized ruin times in the presence of heavy tails

2011-12-12

arxiv.org/abs/1112.2543v1

Mathematics

Probability

27 pages

Scientific paper

In this paper we consider a compound Poisson risk model with regularly varying claim sizes. For this model in [1] an asymptotic formula for the finite time ruin probability is provided when the time is scaled by the mean excess function. In this paper we derive the rate of convergence for this finite time ruin probability when the claims have a finite second moment. [1] S. Asmussen and C. Kl\"uppelberg. Large deviations results for subexponential tails, with applications to insurance risk. Stochastic Process. Appl., 64(1):103-125, 1996.

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