A multistate approach for estimating the incidence of human immunodeficiency virus by using data from a prevalent cohort study

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 54, Issue 4, 2005, Pages 739-752

  Alioum, Ahmadou ^a   Commenges, Daniel ^a   Thiébaut, Rodolphe ^a   Dabis, François ^a  

^a UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

Human immunodeficiency virus incidence; Incomplete observations; Likelihood; Markov processes; Multistate models

Indexed keywords

EID: 24944462299     PISSN: 00359254     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9876.2005.00514.x     Document Type: Article

References (20)

1. Aalen, O. O., Farewell, V. T., De Angelis, D., Day, N. E. and Gill, O. N. (1997) A Markov model for HIV disease progression including the effect of HIV diagnosis and treatment: application to AIDS prediction in England and Wales. Statist. Med., 16, 2191-2210.
2. Bellocco, R. and Marschner, I. C. (2000) Joint analysis of HIV and AIDS surveillance data in back-calculation. Statist. Med., 19, 297-311.
3. Brookmeyer, R. and Gail, M. H. (1986) Minimum size of the acquired immunodeficiency syndrome epidemic in the United States. Lancet, ii, 1320-1322.
4. Brookmeyer, R. and Gail, M. H. (1994) AIDS Epidemiology: a Quantitative Approach. Oxford: Oxford University Press.
5. Centers for Disease Control and Prevention (1992) 1993 revised classification system for HIV infection and expanded surveillance case definition for AIDS among adolescents and adults. Morb. Mort. Wkly Rep., 41, 1-19.
6. Centers for Disease Control and Prevention (1999) Increases in unsafe sex and rectal gonorrhea among men who have sex with men - San Francisco, California, 1994-1997. Morb. Mort. Wkly Rep., 48, 45-48.
7. Chau, P. H., Yip, P. S. F. and Cui, J. S. (2003) Reconstructing the incidence of human immunodeficiency virus (HIV) in Hong Kong by using data from HIV positive tests and diagnoses of acquired immune deficiency syndrome. Appl. Statist., 52, 237-248.
8. Cox, D. R. and Miller, H. D. (1965) The Theory of Stochastic Processes. London: Chapman and Hall.
9. Cui, J. and Becker N. G. (2000) Estimating HIV incidence using dates of both HIV and AIDS diagnoses. Statist. Med., 19, 1165-1177.
10. Dukers, N., Spaargaren, J., Geskus, R. B., Beijnen, J., Coutinho, R. A. and Fennema, H. (2002) HIV incidence on the increase among homosexual men attending an Amsterdam sexually transmitted disease clinic: using a novel approach for detecting recent infections. AIDS, 16, F19-F24.
11. Farewell, V. T., Aalen, O. O., De Angelis, D. and Day, N. E. (1994) Estimation of the rate of diagnosis of HIV infection in HIV infected individuals. Biometrika, 81, 287-294.
12. Jewell, N. P. (1990) Some statistical issues in studies of the epidemiology of AIDS. Statist. Med., 9, 1387-1416.
13. Joly, P., Commenges, D. and Letenneur, L. (1998) A penalized likelihood approach for arbitrarily censored and truncated data: application to age-specific incidence of dementia. Biometrics, 54, 203-212.
14. Kalbfleisch, J. D. and Lawless, J. F. (1989) Inferences based on retrospective ascertainment: an analysis of the data on transfused-related AIDS. J. Am. Statist. Ass., 84, 360-372.
15. Marimoutou, C., Chêne, G., Dabis, F., Lacoste, D. and Salamon, R. (1997) Human immunodeficiency virus infection and AIDS in Aquitaine: 10 years' experience of a hospital information system, 1985-1995 (in French). Presse Med., 26, 703-710.
16. Marquardt, D. (1963) An algorithm for least-squares estimation of nonlinear parameters. SIAM J. Appl. Math., 11, 431-441.
17. Medley, G. F., Billard, L., Cox, D. R. and Anderson, R. M. (1988) The distribution of the incubation period for the acquired immunodeficiency syndrome (AIDS). Proc. R. Soc. Lond. B, 233, 367-377.
18. O'Sullivan, F., Yandell, B. and Raynor, W. (1986) Automatic smoothing of regression functions in generalized linear models. J. Am. Statist. Ass., 81, 96-103.
19. Wahba, G. (1983) Bayesian "confidence intervals" for the cross-validated smoothing spline. J. R. Statist. Soc. B, 45, 133-150.
20. Wahba, G. (1990) Spline Models for Observational Data. Philadelphia: Society for Industrial and Applied Mathematics.