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An actuarial model for AIDS (O.A.R.D., 40)

Published online by Cambridge University Press:  20 April 2012

A. D. Wilkie
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Extract

1. In this note I describe the mathematical formulation of a model for representing the spread of AIDS in a population, which is designed for actuarial use in dealing with life insurance companies and pension funds. A major requirement of actuaries is that the model should be age-specific, and should take into account normal age-specific mortality as well as the extra sickness and mortality from AIDS.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 115 , Issue 4 , December 1988 , pp. 839 - 853
Copyright
Copyright © Institute and Faculty of Actuaries 1988

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References

Anderson, R. M. et al. (1986) A Preliminary Study of the Transmission Dynamics of the Human Immunodeficiency Virus (HIV) the Causative Agent of AIDS. I.M.A. Journal of Mathematics Applied in Medicine & Biology, 3, 229–63.CrossRefGoogle ScholarPubMed
Anderson, R. M. (1988) The Epidemiology of HIV infection: variable incubation plus infectious periods and heterogeneity in sexual activity. J.R.S.S., A, 151, 66.Google Scholar
Brodt, H. R. et al. (1986) Spontanverlauf der LAV/HTLV-III-Infektion; Verlaufsbeobachtungen bei Personen aus AIDS-Risikogruppen. Deutsche Medizinische Wochenschrift, Stuttgart, III, 1986, 1175–80.Google Scholar
Cowell, M. J. & Hoskins, W. (1987) AIDS, HIV Mortality and Life Insurance. Society of Actuaries, Itasca, Ill.Google Scholar
CONTINUOUS MORTALITY INVESTIGATION COMMITTEE (1988) The Graduation of the 1979–82 Mortality Experience, C.M.I.R. 9, 1.Google Scholar
Daykin, C. D. et al. (1987a) AIDS Working Party: AIDS Bulletin No. 1, Institute of Actuaries, London.Google Scholar
Daykin, C. D. et al. (1987b) AIDS Working Party: AIDS Bulletin No. 2, Institute of Actuaries, London.Google Scholar
Daykin, C. D. et al. (1988) AIDS Working Party: AIDS Bulletin No. 3, Institute of Actuaries, London.Google Scholar
Forfar, D. O. McCutcheon, J. J. & Wilkie, A. D. (1988) On Graduation by Mathematical Formula. J.I.A. 115, 1.Google Scholar
Goedert, J. J. et al. (1986) Three year incidence of AIDS in five cohorts of HTLV-III-infected risk group members. Science, 231, 992–5.CrossRefGoogle ScholarPubMed
Hyman, J. M. & Stanley, E. A. (1988) Using Mathematical Models to understand the AIDS Epidemic, to appear in Mathematical Biosciences.CrossRefGoogle Scholar
LUI, K. J. et al. (1986) A Model-based approach for estimating the mean incubation period of transfusion-associated acquired immunodeficiency syndrome. Proc. Nat. Acad. Sci., 83, 3051–5.CrossRefGoogle ScholarPubMed
O.P.C.S (1985) Population Projections 1983–2023, Series PP2, No. 13, H.M.S.O.Google Scholar
Panjer, H. H. (1987) AIDS: Survival Analysis of Persons Testing HIV+. ACTSC 87-14. Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, Ont.Google Scholar
Waters, H. R. & Wilkie, A. D. (1987) A Short Note on the Construction of Life Tables and Multiple Decrement Tables. J.I.A. 114, 569.Google Scholar
Wilkie, A. D. (1987) Preliminary Memorandum on AIDS, July 1987. R. Watson & Sons, Reigate.Google Scholar