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The compound Poisson approximation for a portfolio of dependent risks

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  • Goovaerts, M. J.
  • Dhaene, J.

Abstract

A very well known approximation of the aggregate claims distribution in the individual risk theory model with mutually independent individual risks is the compound Poisson approximation. In this paper, we relax the assumption of independency and show that the same compound Poisson approximation will still perform well under certain circumstances.

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Bibliographic Info

Article provided by Elsevier in its journal Insurance: Mathematics and Economics.

Volume (Year): 18 (1996)
Issue (Month): 1 (May)
Pages: 81-85

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Handle: RePEc:eee:insuma:v:18:y:1996:i:1:p:81-85

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Web page: http://www.elsevier.com/locate/inca/505554

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References

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  1. Gerber, Hans U., 1984. "Error bounds for the compound poisson approximation," Insurance: Mathematics and Economics, Elsevier, vol. 3(3), pages 191-194, July.
  2. Kaas, R. & Gerber, H. U., 1994. "Some alternatives for the individual model," Insurance: Mathematics and Economics, Elsevier, vol. 15(2-3), pages 127-132, December.
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Citations

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Cited by:
  1. Irmina Czarna & Zbigniew Palmowski, 2009. "De Finetti's dividend problem and impulse control for a two-dimensional insurance risk process," Papers 0906.2100, arXiv.org, revised Feb 2011.
  2. Genest, Christian & Marceau, Etienne & Mesfioui, Mhamed, 2003. "Compound Poisson approximations for individual models with dependent risks," Insurance: Mathematics and Economics, Elsevier, vol. 32(1), pages 73-91, February.
  3. Yuen, K. C. & Guo, J. Y., 2001. "Ruin probabilities for time-correlated claims in the compound binomial model," Insurance: Mathematics and Economics, Elsevier, vol. 29(1), pages 47-57, August.
  4. Cossette, Helene & Gaillardetz, Patrice & Marceau, Etienne & Rioux, Jacques, 2002. "On two dependent individual risk models," Insurance: Mathematics and Economics, Elsevier, vol. 30(2), pages 153-166, April.
  5. Chan, Wai-Sum & Yang, Hailiang & Zhang, Lianzeng, 2003. "Some results on ruin probabilities in a two-dimensional risk model," Insurance: Mathematics and Economics, Elsevier, vol. 32(3), pages 345-358, July.
  6. Carriere, Jacques F., 1997. "Testing independence in bivariate distributions of claim frequencies and severities," Insurance: Mathematics and Economics, Elsevier, vol. 21(1), pages 81-89, October.
  7. Denuit, Michel & Lefevre, Claude & Utev, Sergey, 2002. "Measuring the impact of dependence between claims occurrences," Insurance: Mathematics and Economics, Elsevier, vol. 30(1), pages 1-19, February.
  8. Albers, Willem, 1999. "Stop-loss premiums under dependence," Insurance: Mathematics and Economics, Elsevier, vol. 24(3), pages 173-185, May.

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