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Approximating the Distribution of a Dynamic Risk Portfolio

Published online by Cambridge University Press:  29 August 2014

William S. Jewell
William S. Jewell*
Affiliation:
Department of Industrial Engineering and Operations Research, University of California, Berkeley
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Abstract

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In a previous paper, Jewell and Sundt showed how to approximate a distribution of total losses from a large, fixed, heterogeneous portfolio, using a recursive algorithm developed by Panjer for the distribution of a random sum of random variables (a single casualty contract). This paper extends the approximation procedure to large, dynamic heterogeneous portfolios, in order to model either a portfolio of correlated casualty contracts, or a future portfolio, whose composition is not known with certainty.

Information

Type
Research Article
Information
ASTIN Bulletin: The Journal of the IAA , Volume 14 , Issue 2 , October 1984 , pp. 135 - 148
Copyright
Copyright © International Actuarial Association 1984

References

REFERENCES

Adelson, R. M. (1966) Compound Poisson Distributions, Operations Research Quarterly, 17, 73–75.CrossRefGoogle Scholar
Gerber, H. (1979) An Introduction to Mathematical Risk Theory, Huebner Foundation Monograph, Irwin, R. D.: Homewood, Ill.Google Scholar
Jewell, W. S. and Sundt, B. (1981) Improved Approximations for the Distribution of a Heterogeneous Risk Portfolio, Bulletin of the Association of Swiss Actuaries, 221–240.Google Scholar
Panjer, H. H. (1981) Recursive Evaluation of a Family of Compound Distributions, ASTIN Bulletin, 12, 22–26.CrossRefGoogle Scholar
Sundt, B. and Jewell, W. S. (1981) Further Results on Recursive Evaluation of Compound Distributions, ASTIN Bulletin, 12, 27–39.CrossRefGoogle Scholar