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PL EN


2014 | 12(18) | 195-208

Article title

Zależny, złożony proces Poissona – wyznaczanie składek ubezpieczeniowych

Content

Title variants

EN
Dependent compound poisson Process – insurance premium determination

Languages of publication

PL EN

Abstracts

EN
The paper is devoted to the dependent compound Poisson process. The de-pendence of the interclaim times and the neighbouring claim amount is allowed in this process. The dependent structure is described by the Spearman copula. The values of the basic insurance premiums based on the moments of discounted aggregated claim are determined. The values of two first moments and insurance premiums where the claims are exponentially and Pareto distributed are derived.

Year

Issue

Pages

195-208

Physical description

Contributors

References

  • Bargès M., Cossette H., Loisel S., Marceau E., On the moments of aggregate discounted claims with dependence introduced by a FGM copula, „ASTIN Bulletin” 2011, Vol. 41, No. 1, s. 215–238.
  • Boudreault M., Cossette H., Landiault D., Marceau E., On a risk model with dependence between interclaim arrivals and claim sizes, „Scandinavian Actuarial Journal” 2006, Vol. 5, s. 265–285.
  • Cossette H., Marceau E., Marri F., On the compound Poisson risk model with dependence based on a generalized Farlie-Gumbel-Morgenstern copula, „Insurance: Mathemat-ics and Economics” 2008, Vol. 43, s. 444–455.
  • Heilpern S., Funkcje łączące, Wydawnictwo Akademii Ekonomicznej, Wrocław 2007.
  • Heilpern S., Compound Poisson process with dependent interclaim times and claim amounts, „Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu” 2014 [w recenzji].
  • Hürlimann W., Multivariate Fréchet copulas and conditional value-at-risk, „International Journal of Mathematics and Mathematical Sciences” 2004, Vol. 7, s. 345–364.
  • Nelsen R.B., An Introduction to Copulas, Springer, New York 1999.
  • Ostasiewicz W. (red.), Modele aktuarialne, Wydawnictwo Akademii Ekonomicznej, Wrocław 2000.
  • Rolski T., Schmidli H., Schmidt V., Teugels J., Stochastic Processes for Insurance and Finance, Wiley, New York 1999.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-d3200422-a951-4217-99d3-9e5755dd434f
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