Semi Parametric Estimation of the Incubation Period of AIDS
The incubation period distribution of AIDS is estimated from the grouped bivariate data which arises from a prevalent cohort study. A penalised likelihood approach is used to obtain smooth estimates of the incubation period distribution. We also examine how the individuals age at HIV infection and changes in the incubation period can be incorporated into the analysis.
KeywordsIncubation Period Baseline Hazard Independence Model Multicenter AIDS Cohort Study Aerosol Pentamidine
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- Bacchetti, P. and Jewell, N.P. (1991). Non—parametric estimation of the incubation period from a prevalent cohort. Biometrics, 47, 947–960.Google Scholar
- Gail, M.H., Rosenberg, P.S. and Goedert, J.J. (1990). Therapy may explain recent deficits in AIDS incidence. Journal of the Acquired Immune Deficiency Syndromes 3, 296–306.Google Scholar
- Graham, N.M.H., Zeger, S.L., Kuo, V. et al. (1991). Zidovidine use in AIDS—free HIV-1 seropositive homosexual men in the Multicenter AIDS Cohort Study (MACS), 1987 — 1989. Journal of the Acquired Immune Deficiency Syndromes 4, 267–76.Google Scholar
- Keiding, N. (1990). Statistical inference in the Lexis diagram, Technical Report 90/4. Statistical Research Unit, University of Copenhagen.Google Scholar
- Lexis, W. (1875). Einleitung in die Theorie der Bevölkerungsstatistik. Trübner, Strassburg. Pp. 5–7 translated to English by N. Keyfitz and printed, with Fig. 1, in Mathematical Demography (ed. D. Smith & N. Keyfitz ), Springer, Berlin (1977)Google Scholar
- Taylor, J.M.B., Kuo, J-M., and Detels, R. (1991), Is the incubation period of AIDS lengthening?. Journal of the Acquired Immune Deficiency Syndromes 4, 69–75.Google Scholar
- Taylor, J.M.G., Chon, Y. and Detels, R. (1991). Smoothing grouped bivariate data to obtain the incubation period distribution of AIDS. UCLA Statistics Series Technical Report.Google Scholar
- Turnbull, B. (1976). The empirical distribution function with arbitrarily grouped, censored and truncated data. Journal of the Royal Statistical Society 38, 290–5.Google Scholar