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On Numerical Evaluation of Finite Time Survival Probabilities

Published online by Cambridge University Press:  10 June 2011

D.C.M. Dickson
Affiliation:
Centre for Actuarial Studies, Faculty of Economics & Commerce, The University of Melbourne, Parkville, Victoria 3052, Australia. Tel: +61(0)3-9344-4727; Fax: +61(0)3-9344-6899; E-mail: ddickson@cupid.ecom.unimelb.edu.au

Abstract

In this paper we review three algorithms to calculate the probability of ruin/survival in finite time for the classical risk model. We discuss the computational aspects of these algorithms and consider the question of which algorithm should be preferred.

Type
Sessional meetings: papers and abstracts of discussions
Copyright
Copyright © Institute and Faculty of Actuaries 1999

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References

REFERENCES

De Vylder, F. & Goovaerts, M. J. (1988). Recursive calculation of finite-time ruin probabilities. Insurance: Mathematics and Economics, 7, 18.Google Scholar
Dickson, D. C. M. & Egídio Dos Reis, A. D. (1996). On the distribution of the duration of negative surplus. Scandinavian Actuarial Journal, 1996, 148164.CrossRefGoogle Scholar
Dickson, D. C. M. & Waters, H. R. (1991). Recursive calculation of survival probabilities. ASTIN Bulletin, 21, 199221.CrossRefGoogle Scholar
Embrechts, P., Klüppelberg, K. & Mikosch, T. (1997). Modelling extremal events. Springer-Verlag, Berlin.CrossRefGoogle Scholar
Kling, B. M. & Goovaerts, M. J. (1991). A recursive evaluation of the finite time ruin probability based on an equation of Seal. Insurance: Mathematics & Economics, 10, 9397.Google Scholar
Panjer, H. H. (1981). Recursive evaluation of a family of compound distributions. ASTIN Bulletin, 12, 2226.CrossRefGoogle Scholar
Prabhu, N. U. (1961). On the ruin problem of collective risk theory. Annals of Mathematical Statistics, 32, 757764.CrossRefGoogle Scholar
Seal, H. L. (1978). Survival probabilities. John Wiley and Sons, New York.Google Scholar
Steenackers, A. & Goovaerts, M. J. (1991). A review of the numerical calculation of ruin probabilities by means of recursions. Applied Stochastic Models and Data Analysis, 7, 7791.CrossRefGoogle Scholar