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On the evaluation of finite-time ruin probabilities in a dependent risk model

Dimitrova, D. S., Kaishev, V. K. and Zhao, S. (2016). On the evaluation of finite-time ruin probabilities in a dependent risk model. Applied Mathematics and Computation, 275, pp. 268-286. doi: 10.1016/j.amc.2015.11.082

Abstract

This paper establishes some enlightening connections between the explicit formulas of the finite-time ruin probability obtained by Ignatovand Kaishev (2000, 2004) and Ignatov et al. (2001) for a risk model allowing dependence. The numerical properties of these formulas are investigated and efficient algorithms for computing ruin probability with prescribed accuracy are presented. Extensive numerical comparisons and examples are provided.

Publication Type: Article
Additional Information: © 2016, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Publisher Keywords: Finite time ruin probability; Dependent risk modeling; Appell polynomials; Numerical implementation; Order statistics
Subjects: Q Science > QA Mathematics
Departments: Cass Business School > Actuarial Science & Insurance
URI: http://openaccess.city.ac.uk/id/eprint/13378
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