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Applications of the GB2 family of distributions in modeling insurance loss processes

Author

Listed:
  • Cummins, J. David
  • Dionne, Georges
  • McDonald, James B.
  • Pritchett, B. Michael

Abstract

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Suggested Citation

  • Cummins, J. David & Dionne, Georges & McDonald, James B. & Pritchett, B. Michael, 1990. "Applications of the GB2 family of distributions in modeling insurance loss processes," Insurance: Mathematics and Economics, Elsevier, vol. 9(4), pages 257-272, December.
  • Handle: RePEc:eee:insuma:v:9:y:1990:i:4:p:257-272
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    Cited by:

    1. repec:bla:jorssc:v:66:y:2017:i:2:p:273-294 is not listed on IDEAS
    2. Araichi, Sawssen & Peretti, Christian de & Belkacem, Lotfi, 2016. "Solvency capital requirement for a temporal dependent losses in insurance," Economic Modelling, Elsevier, vol. 58(C), pages 588-598.
    3. Gareth W. Peters & Wilson Y. Chen & Richard H. Gerlach, 2016. "Estimating Quantile Families of Loss Distributions for Non-Life Insurance Modelling via L-moments," Papers 1603.01041, arXiv.org.
    4. Dahen, Hela & Dionne, Georges, 2010. "Scaling models for the severity and frequency of external operational loss data," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1484-1496, July.
    5. Andrew M. Jones & James Lomas & Nigel Rice, 2014. "Applying Beta‐Type Size Distributions To Healthcare Cost Regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(4), pages 649-670, June.
    6. Cummins, J. David & McDonald, James B. & Merrill, Craig, 2007. "Risky Loss Distributions and Modeling the Loss Reserve Pay-out Tail," Review of Applied Economics, Lincoln University, Department of Financial and Business Systems, vol. 0(Number 1-), pages 1-23.
    7. Sun, Jiafeng & Frees, Edward W. & Rosenberg, Marjorie A., 2008. "Heavy-tailed longitudinal data modeling using copulas," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 817-830, April.
    8. Tim Keighley & Thomas Longden & Supriya Mathew & Stefan Trück, 2014. "Quantifying Catastrophic and Climate Impacted Hazards Based on Local Expert Opinions," Working Papers 2014.93, Fondazione Eni Enrico Mattei.
    9. Andrew M. Jones & James Lomas & Peter T. Moore & Nigel Rice, 2016. "A quasi-Monte-Carlo comparison of parametric and semiparametric regression methods for heavy-tailed and non-normal data: an application to healthcare costs," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 179(4), pages 951-974, October.
    10. repec:gam:jecnmx:v:6:y:2018:i:2:p:21-:d:141682 is not listed on IDEAS
    11. Li, Yunxian & Tang, Niansheng & Jiang, Xuejun, 2016. "Bayesian approaches for analyzing earthquake catastrophic risk," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 110-119.
    12. Shi, Peng & Valdez, Emiliano A., 2011. "A copula approach to test asymmetric information with applications to predictive modeling," Insurance: Mathematics and Economics, Elsevier, vol. 49(2), pages 226-239, September.
    13. Valdez, Emiliano A. & Vadiveloo, Jeyaraj & Dias, Ushani, 2014. "Life insurance policy termination and survivorship," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 138-149.
    14. repec:eee:ecofin:v:42:y:2017:i:c:p:448-460 is not listed on IDEAS
    15. Guillen, Montserrat & Prieto, Faustino & Sarabia, José María, 2011. "Modelling losses and locating the tail with the Pareto Positive Stable distribution," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 454-461.
    16. repec:eee:insuma:v:79:y:2018:i:c:p:75-81 is not listed on IDEAS
    17. Kalb, Guyonne R. J. & Kofman, Paul & Vorst, Ton C. F., 1996. "Mixtures of tails in clustered automobile collision claims," Insurance: Mathematics and Economics, Elsevier, vol. 18(2), pages 89-107, July.
    18. David Cummins & Christopher Lewis & Richard Phillips, 1999. "Pricing Excess-of-Loss Reinsurance Contracts against Cat as trophic Loss," NBER Chapters,in: The Financing of Catastrophe Risk, pages 93-148 National Bureau of Economic Research, Inc.
    19. Bali, Turan G. & Mo, Hengyong & Tang, Yi, 2008. "The role of autoregressive conditional skewness and kurtosis in the estimation of conditional VaR," Journal of Banking & Finance, Elsevier, vol. 32(2), pages 269-282, February.
    20. Dong, A.X.D. & Chan, J.S.K., 2013. "Bayesian analysis of loss reserving using dynamic models with generalized beta distribution," Insurance: Mathematics and Economics, Elsevier, vol. 53(2), pages 355-365.
    21. repec:gam:jrisks:v:4:y:2016:i:2:p:14:d:70470 is not listed on IDEAS
    22. Gareth W. Peters & Wilson Ye Chen & Richard H. Gerlach, 2016. "Estimating Quantile Families of Loss Distributions for Non-Life Insurance Modelling via L-Moments," Risks, MDPI, Open Access Journal, vol. 4(2), pages 1-41, May.

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