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APPROXIMATING THE DENSITY OF THE TIME TO RUIN VIA FOURIER-COSINE SERIES EXPANSION

Published online by Cambridge University Press:  19 September 2016

Zhimin Zhang
Zhimin Zhang*
Affiliation:
College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P.R. China
*
E-Mail: zmzhang@cqu.edu.cn
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Abstract

In this paper, the density of the time to ruin is studied in the context of the classical compound Poisson risk model. Both one-dimensional and two-dimensional Fourier-cosine series expansions are used to approximate the density of the time to ruin, and the approximation errors are also obtained. Some numerical examples are also presented to show that the proposed method is very efficient.

Keywords

Density of the time to ruinCOSFourier transformRuin
Type
Research Article
Information
ASTIN Bulletin: The Journal of the IAA , Volume 47 , Issue 1 , January 2017 , pp. 169 - 198
Copyright
Copyright © Astin Bulletin 2016 

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