An actuarial index of the right-tail risk

North American Actuarial Journal

Volumn 2, Issue 2, 1998, Pages 88-101

  Wang, Shaun ^a  

^a SCOR Reinsurance Company   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85011137597     PISSN: 10920277     EISSN: None     Source Type: Journal    
DOI: 10.1080/10920277.1998.10595708     Document Type: Article

References (38)

1. Aebi, M., Embrechts, P., and Mikosch, T. 1992. “A Large Claim Index,” Bulletin of the Association of Swiss Actuaries 2: 143–56.
2. Arnold, B.C. 1983. Pareto Distributions. Fairland, Md.: International Co-operative Publishing House.
3. Artzner, P., Delbaen, F., Eber, J-M., and Heath D. 1996. “A Characterization of Measures of Risk,” working paper, February.
4. Bowers, N.L., Gerber, H.U., Hickman, J.C., Jones, D.A., and Nesbitt, C.J. 1986. Actuarial Mathematics. Itasca, Ill.: Society of Actuaries.
5. Butsic, R.P. 1994. “Solvency Measurement for Property-Liability Risk-Based Capital Applications,” Journal of Risk and Insurance 61, no. 4:656–90.
6. Consul, P.C. 1990. “A Model for Distributions of Injuries in Auto-Accidents,” Journal of the Swiss Association of Actuaries, 161–68.
7. Dorfman, R. 1979. “A Formula for the Gini Coefficient,” Review of Economics and Statistics 61:146–49.
8. Embrechts, P., and Veraverbeke, N. 1982. “Estimates for the Probability of Ruin with Special Emphasis on the Possibility of Large Claims,” Insurance: Mathematics and Economics 1:55–72.
9. Feldblum, S. 1990. “Risk Loads for Insurers,” Proceedings of the Casualty Actuarial Society 77:160–95.
10. Gerber, H.U., and Shiu, E.S.W. 1997. “The Joint Distribution of the Time of Ruin, the Surplus Immediately before Ruin, and the Deficit at Ruin,” Insurance: Mathematics and Economics, 21:129–37.
11. Gerchak, Y., and Mossman, D. 1992 “On the Effect of Demand Randomness on Inventories and Costs, Operations Research 40:804–807.
12. Goovaerts, M.J., De Vylder, F., and Haezendonck, J. 1984. Insurance Premiums: Theory and Applications. Amsterdam: North-Holland.
13. Hadar, J., and Russell, W.R. 1969. “Rules for Ordering Uncertain Prospects,” American Economic Review 59, no. 1: 25–34.
14. Hesselager, O., Wang, S., and Willmot, G.E. 1997. “Exponential and Scale Mixtures and Equilibrium Distributions,” Scandinavian Actuarial Journal, in press.
15. Kaas, R., Van Heerwaarden, A.E., and Goovaerts, M.J. 1994. Ordering of Actuarial Risks, Education Series 1. Brussels: CAIRE.
16. Lawless, J.F. 1982. Statistical Models and Methods for Lifetime Data. New York: John Wiley & Sons.
17. Lowe, S.P., and Stanard, J.N. 1996. “An Integrated Dynamic Financial Analysis and Decision Support System for a Property Catastrophe Reinsurer,” Transactions of the XXVII ASTIN Colloquium, Copenhagen, Denmark.
18. Meyers, G.G. 1991. “The Competitive Market Equilibrium Risk Load Formula for Increased Limits Ratemaking,” Proceedings of the Casualty Actuarial Society 78:163–200.
19. Miccolis, R.S. 1977. “On the Theory of Increased Limits and Excess-of-Loss Pricing,” Proceedings of the Casualty Actuarial Society 64:27–59.
20. Panjer, H.H., and Willmot, G.E. 1992. Insurance Risk Models. Schaumburg, Ill.: Society of Actuaries.
21. Philbrick, S.W. 1994. “Accounting for Risk Margins,” Casualty Actuarial Society Forum 1(Spring):4–87.
22. Rachev, S.T. 1991. Probability Metrics and the Stability of Stochastic Models. Chichester, England: Wiley.
23. Ramsay, C.M. 1993. “Loading Gross Premiums for Risk Without Using Utility Theory,” Transactions of the Society of Actuaries 45:305–49.
24. Rothschild, M., and Stiglitz, J.E. 1970. “Increasing Risk I: a Definition,” Journal of Economic Theory 2:225–43.
25. Schmeidler, D. 1986. “Integral Representation without Additivity,” Proceedings of the American Mathematical Society 97:255–61.
26. Van Heerwaarden, A.E., and Kaas, R. 1992. “The Dutch Premium Principle,” Insurance: Mathematics and Economics 11:129–133.
27. Venter, G.G. 1991. “Premium Calculation Implications of Reinsurance without Arbitrage,” ASTIN Bulletin 21:223–30.
28. Wang, S. 1995. “Insurance Pricing and Increased Limits Ratemaking by Proportional Hazards Transforms,” Insurance: Mathematics and Economics 17:43–54.
29. Wang, S. 1996a. “Premium Calculation by Transforming the Layer Premium Density,” ASTIN Bulletin 26:71–92.
30. Wang, S. 1996b. “Ambiguity-Aversion and the Economics of Insurance,” Proceedings of Risk Theory Seminar, University of Wisconsin–Madison.
31. Wang, S. 1996c. “Ordering of Risks under PH Transforms,” Insurance: Mathematics and Economics 18, no. 2:109–114.
32. Wang, S. 1997. “Implementation of PH-Transforms in Ratemaking,” Proceedings of the Casualty Actuarial Society, in press.
33. Wang, S., and Dhaene, J. 1997. “Comonotonicity, Dependency, and Stop-Loss Premiums,” working paper.
34. Wang, S., and Young, V.R. 1998. “Ordering of Risks: Utility Theory Versus Yaari’s Dual Theory of Risk,” Insurance: Mathematics and Economics, in press.
35. Wang, S., Young, V.R., and Panjer, H.H. 1997. “Axiomatic Characterization of Insurance Prices,” Insurance: Mathematics and Economics 21:173–83.
36. Willmot, G. 1987. “The Poisson-Inverse Gaussian as an Alternative to the Negative Binomial,” Scandinavian Actuarial Journal, 113–127.
37. Yaari, M.E. 1987. “The Dual Theory of Choice under Risk,” Econometrica 55:95–115.
38. Zolotarev, V.M. 1979. “Ideal Metrics in the Problem in Topological Space and Probability Theory,” The Australian Journal of Statistics 21:193–208.