On the Ruin Probability Under a Class of Risk Processes

ASTIN Bulletin

Volumn 32, Issue 1, 2002, Pages 81-90

  Rongming, Wang ^a   Haifeng, Liu ^a  

^a EAST CHINA NORMAL UNIVERSITY   (China)

Author keywords

Finite time ruin probability; Laplace transform; Sparre Andersen risk model

Indexed keywords

EID: 85011519541     PISSN: 05150361     EISSN: 17831350     Source Type: Journal    
DOI: 10.2143/AST.32.1.1016     Document Type: Article

References (9)

1. Abate, J. and Whitt, W. (1992). Fourier series method for inverting transforms of probability distributions, Queuing Systems 10, 5–88.
2. Dickson, D.C.M. (1998). On a class of renewal risk processes. NAAJ, 2, No. 2, 60–73.
3. Feller, W. (1971). An Introduction to Probability Theory and its Applications, 2nd ed., Vol. 2, Wiley, New York.
4. Gerber, H.U. (1979). An Introduction to Mathematical Risk Theory, S.S. Huebner Foundation Monograph Series 8, Philadelphia, 114–116.
5. Grandell, J. (1991). Aspects of Risk Theory, Springer, New York.
6. Malinovskii, V.K. (1998). Non-poissonian claims' arrivals and calculation of the probability of ruin. Insurance: Mathematics & Economics, Vol. 22, 123–138.
7. Prabnu, N.U. (1965). Queues and Inventories. J. Wiley & Sons, New York.
8. Prabnu, N.U. (1980). Stochastic Storage Processes. Queues, Insurance Risk, and Dams. Springer, New York.
9. 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: 212–219.