Delwarde, Antoine
Partrat, Ch.
Denuit, Michel
[UCL]
Mortality improvements pose a challenge for the planning of public retirement systems as well as for the private life annuities business. For public policy, as well as for the management of financial institutions, it is important to forecast future mortality rates. Standard models for mortality forecasting assume that the force of mortality at age x in calendar year t is of the form exp(x + xt). The log of the time series of age-specific death rates is thus expressed as the sum of an age-specific component x that is independent of time and another component that is the product of a time-varying parameter t reflecting the general level of mortality, and an age-specific component x that represents how rapidly or slowly mortality at each age varies when the general level of mortality changes. The parameters are usually estimated via singular value decomposition or via maximum likelihood in a binomial or Poisson regression model. This paper demonstrates that it is possible to take into account the overdispersion present in the mortality data by estimating the parameter in a negative binomial regression model.
- Lee, Journal of the American Statistical Associations, 87, 659 (1992)
- Lee Ronald, The Lee-Carter Method for Forecasting Mortality, with Various Extensions and Applications, 10.1080/10920277.2000.10595882
- Booth, International Journal of Forecasting, 22, 547 (2006)
- Brouhns, Insurance: Mathematics and Economics, 31, 373 (2002)
- Brouhns, Bulletin of the Swiss Association of Actuaries, 2, 105 (2002)
- Czado, Insurance: Mathematics and Economics, 36, 260 (2005)
- Cossette, North American Actuarial Journal (2007)
- Brown, Journal of Risk and Insurance, 70, 17 (2003)
- Cameron A.Colin, Trivedi Pravin K., Regression-based tests for overdispersion in the Poisson model, 10.1016/0304-4076(90)90014-k
- Goodman, Journal of the American Statistical Association, 74, 537 (1979)
- Kuha, Sociological Methods and Research, 33, 188 (2004)
- . Model Selection and Multi-model Inference: A Practical Information–Theoretic Approach. Springer: New York, 2002.
- Bayesian model selection in social research. In Sociological Methodology, (ed.). The American Sociological Association: Washington, 1995; 111–163.
- Renshaw A. E., Joint modelling for actuarial graduation and duplicate policies, 10.1017/s0020268100019697
Bibliographic reference |
Delwarde, Antoine ; Partrat, Ch. ; Denuit, Michel. Negative Binomial version of the Lee-Carter model for mortality forecasting. In: Applied Stochastic Models in Business and Industry, Vol. 23, p. 385-401 (2007) |
Permanent URL |
http://hdl.handle.net/2078/16911 |