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On the Ruin Probability Under a Class of Risk Processes1

Published online by Cambridge University Press:  29 August 2014

Wang Rongming
Affiliation:
Department of Statistics, East China Normal University, 3663 Zhongshan Road (northern), Shanghai 200062, P.R., China
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Abstract

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In this paper a class of risk processes in which claims occur as a renewal process is studied. A clear expression for Laplace transform of the finite time ruin probability is well given when the claim amount distribution is a mixed exponential. As its consequence, a well-known result about ultimate ruin probability in the classical risk model is obtained.

Type
Articles
Copyright
Copyright © International Actuarial Association 2002

Footnotes

1

The work was partially supported by Fudan-Swiss Reinsurance Research Foundation (2001.6-2002.6).

References

Abate, J. and Whitt, W. (1992). Fourier series method for inverting transforms of probability distributions, Queuing Systems 10, 588.CrossRefGoogle Scholar
Dickson, D.C.M. (1998). On a class of renewal risk processes. NAAJ, 2, No. 2, 6073.Google Scholar
Feller, W. (1971). An Introduction to Probability Theory and its Applications, 2nd ed., Vol. 2, Wiley, New York.Google Scholar
Gerber, H.U. (1979). An Introduction to Mathematical Risk Theory, S.S. Huebner Foundation Monograph Series 8, Philadelphia, 114116.Google Scholar
Grandell, J. (1991). Aspects of Risk Theory, Springer, New York.CrossRefGoogle Scholar
Malinovskii, V.K. (1998). Non-poissonian claims' arrivals and calculation of the probability of ruin. Insurance: Mathematics & Economics, Vol. 22, 123138.Google Scholar
Prabnu, N.U. (1965). Queues and Inventories. J. Wiley & Sons, New York.Google Scholar
Prabnu, N.U. (1980). Stochastic Storage Processes. Queues, Insurance Risk, and Dams. Springer, New York.CrossRefGoogle Scholar
Sparre Andersen, E. (1957). On the Collective Theory of Risk in the Case of Contagion between the Claims, Transactions of the XV International Congress of Actuaries 2: 212219.Google Scholar