Survival probability for a two-dimensional risk model
In this paper, we consider the survival probability for a two-dimensional risk model. We derive a partial integro-differential equation satisfied by the survival probability and prove its differentiability. We obtain explicit expressions for recursively calculating the survival probability by applying the partial integro-differential equation when claims are exponentially distributed.
Year of publication: |
2009
|
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Authors: | Dang, Lanfen ; Zhu, Ning ; Zhang, Haiming |
Published in: |
Insurance: Mathematics and Economics. - Elsevier, ISSN 0167-6687. - Vol. 44.2009, 3, p. 491-496
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Publisher: |
Elsevier |
Keywords: | Integral equation Partial integro-differential equation Probability of ruin Recursive approximation Survival probability Time of ruin |
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