# Confidence intervals of ruin probability under L\'evy surplus

@inproceedings{Shimizu2021ConfidenceIO, title={Confidence intervals of ruin probability under L\'evy surplus}, author={Yasutaka Shimizu}, year={2021} }

The aim of this paper is to construct the confidence interval of the ultimate ruin probability under the insurance surplus driven by a Lévy process. Assuming a parametric family for the Lévy measures, we estimate the parameter from the surplus data, and estimate the ruin probability via the delta method. However the asymptotic variance includes the derivative of the ruin probability with respect to the parameter, which is not generally given explicitly, and the confidence interval is not…

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