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Panjer vs Kornya vs De Pril: A Comparison from a Practical Point of View

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  • Kuon, S.
  • Reich, A.
  • Reimers, L.

Abstract

We compare three modern methods for calculating the aggregate claims distribution with respect to their computation amount and accuracy: Panjer's algorithm, the approximation method of Kornya and the most recent, exact procedure of De Pril. They are compared numerically in the case of actual Life portfolios. The computation amount of De Pril's method is much greater than that of the two others, which do not differ substantially in this respect. The accuracy of Kornya's and Panjer's methods is remarkably high in the examples considered. However, as the accuracy of Kornya's approximation method can be determined easily in advance, this procedure turns out to be the most useful one for the problems arising from practical work.

Suggested Citation

  • Kuon, S. & Reich, A. & Reimers, L., 1987. "Panjer vs Kornya vs De Pril: A Comparison from a Practical Point of View," ASTIN Bulletin, Cambridge University Press, vol. 17(2), pages 183-191, November.
    • Handle: RePEc:cup:astinb:v:17:y:1987:i:02:p:183-191_00
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    Cited by:

    1. Ribas, Carme & Marin-Solano, Jesus & Alegre, Antonio, 2003. "On the computation of the aggregate claims distribution in the individual life model with bivariate dependencies," Insurance: Mathematics and Economics, Elsevier, vol. 32(2), pages 201-215, April.
    2. Cekanavicius, V. & Mikalauskas, M., 1999. "Signed Poisson approximations for Markov chains," Stochastic Processes and their Applications, Elsevier, vol. 82(2), pages 205-227, August.

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