The mortality of the Italian population: Smoothing techniques on the Lee-Carter model

Annals of Applied Statistics

Volumn 5, Issue 2 A, 2011, Pages 705-724

  D'Amato, Valeria ^a   Piscopo, Gabriella ^a   Russolillo, Maria ^a  

^a UNIVERSITY OF SALERNO   (Italy)

Author keywords

Forecasting; Functional demographic model; Lee carter model

Indexed keywords

EID: 84873367307     PISSN: 19326157     EISSN: 19417330     Source Type: Journal    
DOI: 10.1214/10-AOAS394     Document Type: Article

References (22)

1. Booth, H., Maindonald, J. and Smith, L. (2002). Applying Lee-Carter under conditions of variable mortality decline. Population Studies 56 325-336.
2. Box, G. E. P and Jenkins, G. M. (1976). Time Series Analysis for Forecasting and Control. Holden-Day, San Francisco. Mathematical Reviews (MathSciNet): MR436499
3. Brouhns, N., Denuit, M. and Vermunt, J. K. (2002). A Poisson log-bilinear regression approach to the construction of projected life tables. Insurance Math. Econom. 31 373-393. Mathematical Reviews (MathSciNet): MR1945540
4. Cairns, A., Blake, D., Dowd, K., Coughlan, G. D., Epstein, D., Ong, A., Balevich I., Brouhns, N., Denuit, M. and Vermunt, J. K. (2009). A quantitative comparison of stochasting mortality models using data from England and Wales and the United States. N. Amer. Actuar. J. 13 1-35. Mathematical Reviews (MathSciNet): MR2496489 Digital Object Identifier: doi:10.1080/10920277.2009.10597538
5. CMI (2006). Stochastic projections methodologies: Further progress and P-spline model feature, example results and implications. Working Paper 20, Continuous Mortality Investigation.
6. Currie, I. D., Durban, M. and Eilers, P. H. C. (2004a). Smoothing and forecasting mortality rates. Statist. Model. 4 279-298. Mathematical Reviews (MathSciNet): MR2086492 Digital Object Identifier: doi:10.1191/1471082X04st080oa
7. Currie, I. D., Durban, M. and Eilers, P. H. C. (2004b). Generalized linear array models with applications to multidimensional smoothing. J. Roy. Statist. Soc. Ser. B 68 259-280. Mathematical Reviews (MathSciNet): MR2188985 Zentralblatt MATH: 1110.62090 Digital Object Identifier: doi:10.1111/j.1467-9868.2006.00543.x
8. Currie, I. D., (2008). Smoothing overparameterized regression models. In Proceedings of 23rd International Workshop on Statistical Modelling, Utrecht, 194-199.
9. Delwarde, A., Denuit, M. and Eilers, P. (2007). Smoothing the Lee-Carter and Poisson log-bilinear models for mortality forecasting. Statist. Model. 7 29-48. Mathematical Reviews (MathSciNet): MR2749822 Digital Object Identifier: doi:10.1177/1471082X0600700103
10. Dowd, K., Blake, D., Cairns, A. J. G., Eilers, P. H. C. and Marx, B. D. (2010). Facing up to uncertain life expectancy: The longevity fan charts. Demography 47 67-78.
11. Efron, B. and Tibshirani, R. J. (1993). An Introduction to the Bootstrap. Chapman and Hall, London. Mathematical Reviews (MathSciNet): MR1270903 Zentralblatt MATH: 0835.62038
12. Eilers, P. H. C. and Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statist. Sci. 11 89-121. Mathematical Reviews (MathSciNet): MR1435485 Digital Object Identifier: doi:10.1214/ss/1038425655 Project Euclid: euclid.ss/1038425655
13. Haberman, S. and Renshaw, A. E. (2003). On the forecasting of mortality reduction factors. Insurance Math. Econom. 32 379-401. Mathematical Reviews (MathSciNet): MR2039286
14. Haberman, S. and Renshaw, A. E. (2008). On simulation-based approaches to risk measurement in mortality with specific reference to Poisson Lee-Carter modelling. Insurance Math. Econom. 42 797-816.
15. Hamilton, J. D. (1994). Time Series Analysis. Princeton Univ. Press, Princeton, NJ. Mathematical Reviews (MathSciNet): MR1278033
16. Hyndman, R. J. and Ullah, S. (2007). Robust forecasting of mortality and fertility rates: A functional data approach. Comput. Statist. Data Anal. 51 4942-4956. Mathematical Reviews (MathSciNet): MR2364551
17. Koissi, M. C., Shapiro, A. F. and Hognas, G. (2006). Evaluating and extending the Lee-Carter model for mortality forecasting: Bootstrap confidence interval. Insurance Math. Econom. 26 1-20. Mathematical Reviews (MathSciNet): MR2197300
18. Lee, R. D. and Carter, L. R. (1992). Modelling and forecasting US mortality. J. Amer. Statist. Assoc. 87 659-671.
19. Lee R. D. and Miller, T. (2001). Evaluating the performance of the Lee-Carter method for forecasting mortality. Demography 38 537-549.
20. Renshaw, A. E. and Haberman, S. (2003a). Lee-Carter mortality forecasting: A parallel generalised linear modelling approach for England and Wales mortality projections. Appl. Statist. 52 119-137. Mathematical Reviews (MathSciNet): MR1959085 Zentralblatt MATH: 1111.62359 Digital Object Identifier: doi:10.1111/1467-9876.00393
21. Renshaw, A. E. and Haberman, S. (2003b). Lee-Carter mortality forecasting with age specific enhancement. Insurance Math. Econom. 33 255-272. Mathematical Reviews (MathSciNet): MR2039286
22. Wang, C. and Liu, Y. (2010). Comparison of mortality modelling and forecasting-empirical evidence from Taiwan. Lee-Carter mortality forecasting with age specific enhancement. Int. Res. J. Fin. Econ. 37 46-55.