The moments of the time to ruin in dependent Sparre Andersen models with Coxian claim sizes |
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| Authors: | Wing Yan Lee Gordon E. Willmot |
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| Affiliation: | Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, Canada. |
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| Abstract: | A very general class of dependent Sparre Andersen models with Coxian claim sizes (e.g. Landriault et al. 2014) is considered in this paper. The moments of the time to ruin are studied under this class. An analytical form is provided for the moments, which involves solving linear systems of equations. Numerical examples are then considered to further study the properties of the mean and variance of the time to ruin. |
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| Keywords: | time to ruin moment dependent Sparre Andersen model Coxian claim size |
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