Application of Frailty-Based Mortality Models Using Generalized Linear Models

ASTIN Bulletin

Volumn 34, Issue 1, 2004, Pages 175-197

  Butt, Zoltan ^a   Haberman, Steven ^a  

^a CITY UNIVERSITY   (United Kingdom)

Author keywords

Frailty; Generalized linear modelling; Gompertz Makeham function; Mortality rates graduation; Perks model

Indexed keywords

EID: 85011454578     PISSN: 05150361     EISSN: 17831350     Source Type: Journal    
DOI: 10.1017/S0515036100013945     Document Type: Article

References (28)

1. Aalen, O.O. (1988) Heterogeneity in survival analysis, Statistics in Medicine. 7, 1121–1137.
2. Ainslie, R. (2000) Annuity and insurance products for impaired lives. Presented to the Staple Inn Actuarial Society, Institute of Actuaries, London.
3. Benjamin, B. and Pollard, J.H. (1993) The analysis of mortality and other actuarial statistics, The Institute of Actuaries and the Faculty of Actuaries, London.
4. Blumen, I., Kogan, M. and McCarthy, P.J. (1955) The industrial mobility of labour as a probability process, Cornell Studies of Industrial and Labour Relations, Vol. vi, Cornell University Press, Ithaca, New York.
5. Butt, Z. and Haberman, S. (2002) Application of frailty-based mortality models to insurance data, Actuarial Research Paper No. 142, Department of Actuarial Science & Statistics, City University, London.
6. Congdon, P. (1994) Analyzing mortality in London: Life Tables with frailty, Journal of the Royal Statistical Society, Series D, 43, 277–308.
7. Forfar, D.O. and Smith, D.M. (1988) The changing shape of English Life Tables, Transactions of the Faculty of Actuaries, 40, 98–134.
8. Gini, C. (1924) Premières recherches sur la fécondabilité de la femme, Proceedings of the International Mathematical Congress, 2, 889–892.
9. Haberman, S. and Renshaw, A.E. (1996) Generalised linear models and actuarial science, Journal of the Royal Statistical Society, Series D, 45, 407–436.
10. Hoem, J.M. (1990) Identifiability in hazard model with unobserved heterogeneity: The compatibility of two apparently contradicting results, Theoretical Population Biology. 37, 124–128.
11. Horiuchi, S. and Coale, A.J. (1990) Age patterns of mortality for older women: An analysis using the age-specific rate of mortality change with age, Mathematical Population Studies. 2, 245–267.
12. Hougaard, P. (1984) Life Table methods for heterogeneous populations: Distributions describing heterogeneity, Biometrika. 71, 75–83.
13. Keyfitz, N. (1985) Applied mathematical demography, Second Edition, Springer, New York.
14. Lancaster, T. (1990) The econometric analysis of transition data, Cambridge University Press, Cambridge.
15. Le Bras, H. (1976) Lois de mortalité et age limité, Population. 31, 655–692.
16. Manton, K.G. and Stallard, E. (1984) Recent trends in mortality analysis, Academic press, Inc., 236–299.
17. Manton, K.G., Stallard, E. and Vaupel, J.W. (1981) Methods for comparing the mortality experience of heterogeneous populations, Demography. 18, 389–410.
18. Manton, K.G., Stallard, E. and Vaupel, J.W. (1986) Alternative models for the heterogeneity of mortality risks among the aged, Journal of the American Statistical Association. 81, 635–644.
19. McCullagh, P. and Nelder, J.A. (1989) Generalized linear models, Second Edition, Chapman and Hall, London.
20. McNown, R. and Rogers, A. (1989) Time-series analysis forecasts of a parameterised mortality schedule, in Congdon, P. and Batey, P., eds, “Advances in regional demography: Information, forcasts, models”, Bellhaven Press, London, pp. 107–123.
21. Renshaw, A.E. (1991) Actuarial graduation practice and generalised linear and non-linear models, Journal of the Institute of Actuaries. 118, 295–312.
22. Renshaw, A.E. (1995) Graduation and generalized linear models: An overview, Actuarial Research Paper No. 73, Department of Actuarial Science & Statistics, City University, London.
23. Thatcher, A.R. (1999) The long-term pattern of adult mortality and the highest attained age, Journal of the Royal Statistical Society, Series A, 162, 5–30.
24. Vaupel, J.W. (1999) Contribution to the discussion of ‘The long-term pattern of adult mortality and highest attained age’, by Thatcher, A.R., Journal of the Royal Statistical Society, Series A, 162, 31–32.
25. Vaupel, J.W., Manton, K.G. and Stallard, E. (1979) The impact of heterogeneity in individual frailty on the dynamics of mortality, Demography, 16, 439–454.
26. Vaupel, J.W. and Yashin, A.I. (1985) The deviant dynamics of death in heterogeneous populations, Sociological Methodology, 179–211. Edited by Tuma, N.B, Jossey-Bas, San Francisco.
27. Wang, S.S. and Brown, R.L. (1998) A frailty model for projection of human mortality improvement, Journal of Actuarial Practice. 6, 221–241.
28. Yashin, A.I., Vaupel, J.W. and Iachine, I.A. (1994) A duality in ageing: The equivalance of mortality models based on radically different concept, Mechanisms of Ageing and Development. 74, 1–14.