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Semi Parametric Estimation of the Incubation Period of AIDS

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AIDS Epidemiology

Abstract

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.

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References

  • Bacchetti, B. (1990). Estimating the incubation period of AIDS by comparing population infection and diagnosis patterns. Journal of the American Statistical Association, 85, 1002–1008.

    Article  Google Scholar 

  • Bacchetti, P. and Jewell, N.P. (1991). Non—parametric estimation of the incubation period from a prevalent cohort. Biometrics, 47, 947–960.

    CAS  Google Scholar 

  • Biggar, R.J. and the International Registry of Seroconverters. (1990). AIDS incubation in 1891 HIV seroconverters from different exposure groups. AIDS 4, 1059–1066.

    Article  Google Scholar 

  • Brookmeyer, R. and Goedert, J.J. (1989). Censoring in an epidemic with an application to hemophilia—associated AIDS. Biometrics 45, 325–35.

    Article  PubMed  CAS  Google Scholar 

  • Darby, S.C., Doll, R., Thakrar, B. et al. (1990). Time from infection with HIV to onset of AIDS in patients with haemophilia in the U.K. Statistics in Medicine 9, 681–9.

    Article  PubMed  CAS  Google Scholar 

  • De Gruttola, V. and Lagakos, S.W. (1989). Analysis of doubly—censored survival data, with application to AIDS. Biometrics 45, 1–11.

    Article  PubMed  Google Scholar 

  • B. Efron. (1982) The jackknife, the bootstrap and the other resampling plans. Society for Industrial and Applied Mathematics. Philadelphia.

    Book  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.

    CAS  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.

    CAS  Google Scholar 

  • Green, P.J., (1987). Penalized likelihood for general semi—parametric regression models. Int. Statist. Rev. 55, 245–59.

    Article  Google Scholar 

  • Kaslow, R.A., Ostrow, D.G., Detels, R., Phair, J.P., Polk,B.F., Rinaldo, C.R. Jr. (1987). The Multicenter AIDS Cohort Study: rationale, organization, and selected characteristics of the participants. American Journal of Epidemiology 126, 310–18.

    Article  PubMed  CAS  Google Scholar 

  • Keiding, N. (1990). Statistical inference in the Lexis diagram, Technical Report 90/4. Statistical Research Unit, University of Copenhagen.

    Google Scholar 

  • Kuo, J-M., Taylor, J.M.G., and Detels, R. (1991). Estimating the AIDS incubation period from a prevalent cohort. American Journal of Epidemiology 133, 1050–57.

    PubMed  CAS  Google Scholar 

  • Lexis, W. (1875). Einleitung in die Theorie der Bevölkerungsstatistik. TrĂĽbner, 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.

    CAS  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 

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Author information

Authors and Affiliations

  1. Department of Biostatistics, UCLA School of Public Health, Los Angeles, CA, 90024, USA

    Jeremy M. G. Taylor & Yun Chon

Authors
  1. Jeremy M. G. Taylor
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  2. Yun Chon
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Editor information

Editors and Affiliations

  1. Dept. of Statistics, University of California, 94720, Berkeley, CA, USA

    Nicholas P. Jewell

  2. Dept. of Medical Biometry, University of TĂĽbingen, W-7400, TĂĽbingen, Germany

    Klaus Dietz

  3. Dept. of Statistics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    Vernon T. Farewell

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© 1992 Springer Science+Business Media New York

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Taylor, J.M.G., Chon, Y. (1992). Semi Parametric Estimation of the Incubation Period of AIDS. In: Jewell, N.P., Dietz, K., Farewell, V.T. (eds) AIDS Epidemiology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1229-2_15

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  • DOI: https://doi.org/10.1007/978-1-4757-1229-2_15

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4757-1231-5

  • Online ISBN: 978-1-4757-1229-2

  • eBook Packages: Springer Book Archive

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