Skip to main content

Adjusting the Generalized Pareto Distribution with Evolution Strategies – An application to a Spanish Motor Liability Insurance Database

  • Conference paper
Intelligent Data Engineering and Automated Learning - IDEAL 2007 (IDEAL 2007)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4881))

Abstract

Management of extreme events is required of a special consideration, as well as a sufficiently wide time horizon for solvency evaluation. Whereas their classical adjustment is usually carried out with Extreme Value Theory (EVT)-based distributions (namely, the Generalized Pareto Distribution), Evolutionary Techniques have been tried herein to fit the GPD parameters as an optimisation problem. The comparison between classical and evolutionary techniques highlights the accuracy of the evolutionary process. Data adjusted in this paper come from a Spanish motor liability insurance portfolio.

Funded by CICYT TSI2005-07344, MADRINET S-0505/TIC/0255 and AUTOPIA IMSERSO.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Këllezi, E., Gilli, M.: Extreme Value Theory for Tail-Related Risk Measures. Kluwer Academic Publishers, Dordrecht (2000)

    Google Scholar 

  2. Holland, J.H: Adaptation in natural an artificial Systems, MIT Press, Bradford Books edition, Michigan, MI (1975)

    Google Scholar 

  3. García, J., Pérez, M.J., Berlanga, A., Molina, J.M.: Adjustment of Claims Rate with Evolution Strategies in a Mathematical Model for Insurance Loss Ratio, Internet, e-com and Artifcial Intelligence. In: III International Workshop on Practical Applications of Agents and Multiagent Systems, Burgos, Spain, pp. 173–182 (2004)

    Google Scholar 

  4. Pérez, M.J., García, J., Martí, L., Molina, J.M.: Multiobjective Optimization Evolutionary Algorithms in Insurance-Linked Derivatives. In: Bernard, J.-F. (ed.) Handbook of Research on Nature Inspired Computing for Economy and Management, vol. II, pp. 885–908. Idea Group Inc, USA (2006)

    Google Scholar 

  5. Schewefel, H.-P.: Evolutionary learning optimum-seeking on parallel computer architectures. In: Sydow, A., Tzafestas, S.G., Vichnevetsky, R. (eds.) Proceedings of the International Symposium on Systems Analysis and Simulation 1988, I: Theory and Foundations, pp. 217–225. Akademie-Verlag, Berlin (1988)

    Google Scholar 

  6. Beirlant, J., Teugels, J.L., Vynckier, P.: Practical Analysis of Extreme Values. Leuven University Press, Leuven (1996)

    MATH  Google Scholar 

  7. De Haan, L., Ferreira, A.: Extreme value theory: An introduction. Springer Series in Operations Research and Financial Engineering. Springer, New York (2006)

    MATH  Google Scholar 

  8. Embrechts, P., Klüppelberg, C., Mikosch, T.: Modelling extremal events for Insurance and Finance. In: Applications of Mathematics, Springer, Heidelberg (1997)

    Google Scholar 

  9. Kotz, S., Nadarajah, S.: Extreme value distributions. Theory and Applications. Imperial College Press, London (2000)

    MATH  Google Scholar 

  10. Reiss, R.D., Thomas, M.: Statistical Analysis of Extreme Values with applications to insurance, finance, hydrology and other fields, 2nd edn. Birkhäuser (2001)

    Google Scholar 

  11. Fogel, D.B.: The Advantages of Evolutionary Computation. In: Lundh, D., Olsson, B., Narayanan, A. (eds.) Proc. of BCEC97: BioComputing and Emergent Computation, pp. 1–11. World Scientific, Singapore (1997)

    Google Scholar 

  12. Bäck, T.: Evolutionary Algorithms in Theory and Practice. Oxford University Press, Inc, Oxford (1996)

    MATH  Google Scholar 

  13. Törn, A., Zilinskas, A.: Global Optimization. LNCS, vol. 350. Springer, Heidelberg (1991)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Hujun Yin Peter Tino Emilio Corchado Will Byrne Xin Yao

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Pérez-Fructuoso, M.J., García, A., Berlanga, A., Molina, J.M. (2007). Adjusting the Generalized Pareto Distribution with Evolution Strategies – An application to a Spanish Motor Liability Insurance Database. In: Yin, H., Tino, P., Corchado, E., Byrne, W., Yao, X. (eds) Intelligent Data Engineering and Automated Learning - IDEAL 2007. IDEAL 2007. Lecture Notes in Computer Science, vol 4881. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77226-2_101

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-77226-2_101

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77225-5

  • Online ISBN: 978-3-540-77226-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics