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Lee-Carter mortality forecasting: a parallel generalized linear modelling approach for England and Wales mortality projections. (English) Zbl 1111.62359

Summary: A reinterpretation of the model underpinning the Lee-Carter methodology for forecasting mortality (and other vital) rates. A parallel methodology based on generalized linear modelling is introduced. The use of residual plots is proposed for both methods to aid the assessment of the goodness of fit. The two methods are compared in terms of structure and assumptions. They are then compared through an analysis of the gender- and age-specific mortality rates for England and Wales over the period 1950–1998 and through a consideration of the forecasts generated by the two methods. The paper also compares different approaches to the forecasting of life expectancy and considers the effectiveness of the Coale-Guo method for extrapolating mortality rates to the oldest ages.

MSC:

62P10 Applications of statistics to biology and medical sciences; meta analysis
91D20 Mathematical geography and demography

Software:

GenStat; GLIM
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References:

[1] Benjamin B., The Analysis of Mortality and Other Actuarial Statistics (1993)
[2] Booth H., Working Papers in Demography 85 (2001)
[3] Coale A., Popln Index 55 pp 613– (1989)
[4] Continuous Mortality Investigation Bureau Committee, Continuous Mortality Investigation Report pp 50– (1990)
[5] Daykin C. D., Br. Act. J. 6 pp 861– (2000)
[6] Elandt-Johnson R. C., Survival Models and Data Analysis (1980) · Zbl 0501.62092
[7] Forfar D. O., J. Inst. Act. 115 pp 1– (1988)
[8] Francis B., The Glim System: Release 4 Manual (1993)
[9] Hamilton J. D., Time Series Analysis (1994) · Zbl 0831.62061
[10] Lee R. D., N. Am. Act. J. 4 pp 80– (2000) · Zbl 1083.62535
[11] Lee R. D., J. Am. Statist. Ass. 87 pp 659– (1992)
[12] Lee R., Demography 38 pp 537– (2001)
[13] Lindbergson M., Scand. Act. J. pp 79– (2001)
[14] McCullagh P., Generalized Linear Models (1989) · Zbl 0744.62098
[15] R. W. Payne, P. W. Lane, P. G. N. Digby, S. A. Harding, P. K. Leech, G. W. Morgan, A. D. Todd, R. Thompson, G. Tunnicliffe Wilson, S. J. Welham, and R. P. White (1993 )Genstat 5 Release 3 Reference Manual. Oxford: Clarendon.
[16] Registrar General, English Life Tables No 14 (1987)
[17] Registrar General, English Life Tables No 15 (1997)
[18] Renshaw A. E., J. Inst. Act. 118 pp 295– (1991)
[19] Renshaw A. E., Actuarial Research Paper 127 (2000)
[20] Renshaw A. E., Actuarial Research Paper 135 (2001)
[21] Renshaw A. E., Proc. 6th Int. Congr. Insurance: Mathematics and Economics, Lisbon, July. (2002)
[22] Renshaw A. E., Br. Act. J. 2 pp 449– (1996)
[23] DOI: 10.1016/S0167-6687(00)00054-8 · Zbl 1055.62555
[24] DOI: 10.1038/35015561
[25] DOI: 10.1016/S0531-5565(00)00194-7
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