Estimating the Gerber-Shiu Function in Lévy Insurance Risk Model by Fourier-Cosine Series Expansion

In this paper, we propose an estimator for the Gerber–Shiu function in a pure-jump Lévy risk model when the surplus process is observed at a high frequency. The estimator is constructed based on the Fourier–Cosine series expansion and its consistency property is thoroughly studied. Simulation exampl...

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Bibliographic Details
Main Authors: Wen Su, Yunyun Wang
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/12/1402