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Which stochastic model is underlying the chain ladder method?

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  • Mack, Thomas

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  • Mack, Thomas, 1994. "Which stochastic model is underlying the chain ladder method?," Insurance: Mathematics and Economics, Elsevier, vol. 15(2-3), pages 133-138, December.
    • Handle: RePEc:eee:insuma:v:15:y:1994:i:2-3:p:133-138
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    Cited by:

    1. Leonardo Costa & Adrian Pizzinga, 2020. "State‐space models for predicting IBNR reserve in row‐wise ordered runoff triangles: Calendar year IBNR reserves & tail effects," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 39(3), pages 438-448, April.
    2. Sebastian Calcetero-Vanegas & Andrei L. Badescu & X. Sheldon Lin, 2023. "Claim Reserving via Inverse Probability Weighting: A Micro-Level Chain-Ladder Method," Papers 2307.10808, arXiv.org, revised Jun 2024.
    3. Spreeuw, Jaap & Goovaerts, Marc, 1998. "Prediction of claim numbers based on hazard rates," Insurance: Mathematics and Economics, Elsevier, vol. 23(1), pages 59-69, October.
    4. Pitselis, Georgios & Grigoriadou, Vasiliki & Badounas, Ioannis, 2015. "Robust loss reserving in a log-linear model," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 14-27.
    5. Schmidt, Klaus D., 1997. "Non-optimal prediction by the chain ladder method," Insurance: Mathematics and Economics, Elsevier, vol. 21(1), pages 17-24, October.
    6. Hess, Klaus Th. & Schmidt, Klaus D., 2002. "A comparison of models for the chain-ladder method," Insurance: Mathematics and Economics, Elsevier, vol. 31(3), pages 351-364, December.
    7. Kunkler, Michael, 2006. "Modelling negatives in stochastic reserving models," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 540-555, June.
    8. Marie Michaelides & Mathieu Pigeon & H'el`ene Cossette, 2022. "Individual Claims Reserving using Activation Patterns," Papers 2208.08430, arXiv.org, revised Aug 2023.
    9. Benjamin Avanzi & Xingyun Tan & Greg Taylor & Bernard Wong, 2023. "On the evolution of data breach reporting patterns and frequency in the United States: a cross-state analysis," Papers 2310.04786, arXiv.org, revised Jun 2024.
    10. Mack, Thomas & Venter, Gary, 2000. "A comparison of stochastic models that reproduce chain ladder reserve estimates," Insurance: Mathematics and Economics, Elsevier, vol. 26(1), pages 101-107, February.
    11. Paulo J. R. Pinheiro & João Manuel Andrade e Silva & Maria De Lourdes Centeno, 2003. "Bootstrap Methodology in Claim Reserving," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 70(4), pages 701-714, December.
    12. Steinmetz, Julia & Jentsch, Carsten, 2022. "Asymptotic theory for Mack's model," Insurance: Mathematics and Economics, Elsevier, vol. 107(C), pages 223-268.
    13. Portugal, Luís & Pantelous, Athanasios A. & Verrall, Richard, 2021. "Univariate and multivariate claims reserving with Generalized Link Ratios," Insurance: Mathematics and Economics, Elsevier, vol. 97(C), pages 57-67.
    14. D Kuang & Bent Nielsen & J P Nielsen, 2013. "The Geometric Chain-Ladder," Economics Papers 2013-W11, Economics Group, Nuffield College, University of Oxford.
    15. England, Peter & Verrall, Richard, 1999. "Analytic and bootstrap estimates of prediction errors in claims reserving," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 281-293, December.
    16. Kunkler, Michael, 2004. "Modelling zeros in stochastic reserving models," Insurance: Mathematics and Economics, Elsevier, vol. 34(1), pages 23-35, February.
    17. Pešta, Michal & Hudecová, Šárka, 2012. "Asymptotic consistency and inconsistency of the chain ladder," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 472-479.
    18. Alicja Wolny-Dominiak, 2016. "The hierarchical generalized linear model and the bootstrap estimator of the error of prediction of loss reserves in a non-life insurance company," Papers 1612.04126, arXiv.org.

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