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Fuzzy formulation of the Lee-Carter model for mortality forecasting

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  • Koissi, Marie-Claire
  • Shapiro, Arnold F.

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  • Koissi, Marie-Claire & Shapiro, Arnold F., 2006. "Fuzzy formulation of the Lee-Carter model for mortality forecasting," Insurance: Mathematics and Economics, Elsevier, vol. 39(3), pages 287-309, December.
    • Handle: RePEc:eee:insuma:v:39:y:2006:i:3:p:287-309
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    References listed on IDEAS

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    1. Lemaire, Jean, 1990. "Fuzzy Insurance," ASTIN Bulletin, Cambridge University Press, vol. 20(1), pages 33-55, April.
    2. Koissi, Marie-Claire & Shapiro, Arnold F. & Hognas, Goran, 2006. "Evaluating and extending the Lee-Carter model for mortality forecasting: Bootstrap confidence interval," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 1-20, February.
    3. David Scollnik, 2002. "Regression Models for Bivariate Loss Data," North American Actuarial Journal, Taylor & Francis Journals, vol. 6(4), pages 67-80.
    4. Carlos Wong-Fupuy & Steven Haberman, 2004. "Projecting Mortality Trends," North American Actuarial Journal, Taylor & Francis Journals, vol. 8(2), pages 56-83.
    5. Olivieri, Annamaria, 2001. "Uncertainty in mortality projections: an actuarial perspective," Insurance: Mathematics and Economics, Elsevier, vol. 29(2), pages 231-245, October.
    6. Ronald Lee, 2000. "The Lee-Carter Method for Forecasting Mortality, with Various Extensions and Applications," North American Actuarial Journal, Taylor & Francis Journals, vol. 4(1), pages 80-91.
    7. David Scollnik, 2002. "Implementation of Four Models for Outstanding Liabilities in Winbugs: A Discussion of a Paper by Ntzoufras and Dellaportas," North American Actuarial Journal, Taylor & Francis Journals, vol. 6(1), pages 128-136.
    8. Nan Li & Ronald Lee, 2005. "Coherent mortality forecasts for a group of populations: An extension of the lee-carter method," Demography, Springer;Population Association of America (PAA), vol. 42(3), pages 575-594, August.
    9. Czado, Claudia & Delwarde, Antoine & Denuit, Michel, 2005. "Bayesian Poisson log-bilinear mortality projections," Insurance: Mathematics and Economics, Elsevier, vol. 36(3), pages 260-284, June.
    10. Pai, Jeffrey S., 1997. "Bayesian analysis of compound loss distributions," Journal of Econometrics, Elsevier, vol. 79(1), pages 129-146, July.
    11. Zmeskal, Zdenek, 2005. "Value at risk methodology under soft conditions approach (fuzzy-stochastic approach)," European Journal of Operational Research, Elsevier, vol. 161(2), pages 337-347, March.
    12. David Scollnik, 2001. "Actuarial Modeling with MCMC and BUGs," North American Actuarial Journal, Taylor & Francis Journals, vol. 5(2), pages 96-124.
    13. Shapiro, Arnold F., 2004. "Fuzzy logic in insurance," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 399-424, October.
    14. Jorge De Andrés Sánchez & Antonio Terceño Gómez, 2003. "Applications of Fuzzy Regression in Actuarial Analysis," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 70(4), pages 665-699, December.
    15. Kim, Kwang Jae & Moskowitz, Herbert & Koksalan, Murat, 1996. "Fuzzy versus statistical linear regression," European Journal of Operational Research, Elsevier, vol. 92(2), pages 417-434, July.
    16. Carter, Lawrence R. & Lee, Ronald D., 1992. "Modeling and forecasting US sex differentials in mortality," International Journal of Forecasting, Elsevier, vol. 8(3), pages 393-411, November.
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    Cited by:

    1. Pablo J. Villacorta & Laura González-Vila Puchades & Jorge de Andrés-Sánchez, 2021. "Fuzzy Markovian Bonus-Malus Systems in Non-Life Insurance," Mathematics, MDPI, vol. 9(4), pages 1-23, February.
    2. Zmeskal, Zdenek, 2010. "Generalised soft binomial American real option pricing model (fuzzy-stochastic approach)," European Journal of Operational Research, Elsevier, vol. 207(2), pages 1096-1103, December.
    3. Alfred Mbairadjim Moussa & Jules Sadefo Kamdem & Arnold F. Shapiro & Michel Terraza, 2012. "Capital asset pricing model with fuzzy returns and hypothesis testing," Working Papers 12-33, LAMETA, Universtiy of Montpellier, revised Sep 2012.
    4. Rachida Hennani & Michel Terraza, 2012. "Value-at-Risk stressée chaotique d’un portefeuille bancaire," Working Papers 12-23, LAMETA, Universtiy of Montpellier, revised Sep 2012.
    5. Szymański Andrzej & Rossa Agnieszka, 2021. "The Complex-Number Mortality Model (CNMM) based on orthonormal expansion of membership functions," Statistics in Transition New Series, Statistics Poland, vol. 22(3), pages 31-57, September.
    6. Norkhairunnisa Redzwan & Rozita Ramli, 2022. "A Bibliometric Analysis of Research on Stochastic Mortality Modelling and Forecasting," Risks, MDPI, vol. 10(10), pages 1-17, October.
    7. Andrzej Szymański & Agnieszka Rossa, 2017. "Improvement Of Fuzzy Mortality Models By Means Of Algebraic Methods," Statistics in Transition New Series, Polish Statistical Association, vol. 18(4), pages 701-724, December.
    8. Andrzej Szymański & Agnieszka Rossa, 2021. "The Complex-Number Mortality Model (CNMM) based on orthonormal expansion of membership function," Statistics in Transition New Series, Polish Statistical Association, vol. 22(3), pages 31-57, September.
    9. Mbairadjim Moussa, A. & Sadefo Kamdem, J. & Shapiro, A.F. & Terraza, M., 2014. "CAPM with fuzzy returns and hypothesis testing," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 40-57.
    10. Demirel, Duygun Fatih & Basak, Melek, 2019. "A fuzzy bi-level method for modeling age-specific migration," Socio-Economic Planning Sciences, Elsevier, vol. 68(C).
    11. Szymański Andrzej & Rossa Agnieszka, 2017. "Improvement of Fuzzy Mortality Models by Means of Algebraic Methods," Statistics in Transition New Series, Statistics Poland, vol. 18(4), pages 701-724, December.
    12. Sadefo Kamdem, J. & Mbairadjim Moussa, A. & Terraza, M., 2012. "Fuzzy risk adjusted performance measures: Application to hedge funds," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 702-712.
    13. Hwang Yawen & Huang Hong-Chih, 2012. "Modified Logistic Model for Mortality Forecasting and the Application of Mortality-Linked Securities," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 6(1), pages 1-20, February.
    14. Jorge De Andrés-Sánchez, 2024. "Calculating Insurance Claim Reserves with an Intuitionistic Fuzzy Chain-Ladder Method," Mathematics, MDPI, vol. 12(6), pages 1-24, March.

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