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Nonparametric estimate of the ruin probability in a pure-jump Lévy risk model

Section: Articles
Title: Nonparametric estimate of the ruin probability in a pure-jump Lévy risk model / Zhimin Zhang, Hailiang YangAuthor: Zhang, Zhimin
Notes: Sumario: In this paper, we propose a nonparametric estimator of ruin probability in a Lévy risk model. The aggregate claims process X={Xt,=0} is modeled by a pure-jump Lévy process. Assume that high-frequency observed data on X are available. The estimator is constructed based on the PollaczekKhinchin formula and Fourier transform. Risk bounds as well as a data-driven cut-off selection methodology are presented. Simulation studies are also given to show the finite sample performance of our estimator.Related records: En: Insurance : mathematics and economics. - Oxford : Elsevier, 1990- = ISSN 0167-6687. - 01/07/2013 Volumen 53 Número 1 - julio 2013 Materia / lugar / evento: Data driven Other categories: 6
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