Estimating the Gerber-Shiu Function in a Compound Poisson Risk Model with Stochastic Premium Income
2019 ◽
Vol 2019
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pp. 1-18
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Keyword(s):
In this paper, we consider the compound Poisson risk model with stochastic premium income. We propose a new estimation of Gerber-Shiu function by an efficient method: Fourier-cosine series expansion. We show that the estimator is easily computed and has a fast convergence rate. Some simulation examples are illustrated to show that the estimation has a good performance when the sample size is finite.
2008 ◽
Vol 12
(3)
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pp. 299-318
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Keyword(s):
2012 ◽
Vol 2012
◽
pp. 1-26
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2011 ◽
Vol 26
(1)
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pp. 1-13
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Keyword(s):
2011 ◽
Vol 235
(8)
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pp. 2392-2404
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2013 ◽
Vol 83
(9)
◽
pp. 1998-2006
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2013 ◽
Vol 253
◽
pp. 26-50
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2017 ◽
Vol 315
◽
pp. 1-12
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2008 ◽
Vol 45
(03)
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pp. 818-830
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Keyword(s):