Statistical Analysis of the Time Dependence of HIV Infectivity Based on Partner Study Data

References

• Anderson , R. M. 1988 . The Epidemiology of HIV Infection: Variable Incubation Plus Infectious Periods and Heterogeneity in Sexual Activity . Journal of the Royal Statistical Society, Ser. A , 151 : 66 – 93 .
   Google Scholar
• Ayer , M. , Brunk , H. D. , Ewing , G. M. , Reid , W. T. and Silverman , E. 1955 . An Empirical Distribution Function for Sampling With Incomplete Information . The Annals of Mathematical Statistics , 26 : 641 – 647 .
   Google Scholar
• Bacchetti , P. 1989 . Additive Isotonic Models . Journal of the American Statistical Association , 84 : 289 – 294 .
   Web of Science ®Google Scholar
• Bacchetti , P. 1990 . Estimating the Incubation Period of AIDS by Comparing Population Infection and Diagnosis Patterns . Journal of the American Statistical Association , 85 : 1002 – 1008 .
   Web of Science ®Google Scholar
• Buja , A. , Hastie , T. and Tibshirani , R. 1989 . Linear Smoothers and Additive Models . The Annals of Statistics , 17 : 453 – 555 .
   Web of Science ®Google Scholar
• Carroll , R. J. 1989 . Covariance Analysis in Generalized Linear Measurement Error Models . Statistics in Medicine , 8 : 1075 – 1093 .
   PubMed Web of Science ®Google Scholar
• Cox , D. R. and Isham , V. 1980 . Point Processes , New York : Chapman and Hall .
   Google Scholar
• Cox , D. R. and Oakes , D. 1984 . Analysis of Survival Data , New York : Chapman and Hall .
   Google Scholar
• DeGruttola , V. , Seage , G. R. , Mayer , K. H. and Horsburgh , C. R. Jr. 1989 . Infectiousness of HIV Between Male Homosexual Partners . Journal of Clinical Epidemiology , 42 : 849 – 856 .
   PubMed Web of Science ®Google Scholar
• Dempster , A. P. , Laird , N. M. and Rubin , D. B. 1977 . Maximum Likelihood from Incomplete Data via the EM Algorithm . Journal of the Royal Statistical Society , 39 : 1 – 38 . Ser. B
   Google Scholar
• Dongarra , J. J. , Bunch , J. R. , Moler , C. B. and Stewart , G. W. 1979 . LINPACK Users’ Guide , Philadelphia : Society for Industrial and Applied Mathematics .
   Google Scholar
• Efron , B. 1981 . Censored Data and the Bootstrap . Journal of the American Statistical Association , 76 : 312 – 319 .
   Web of Science ®Google Scholar
• Efron , B. 1985 . Bootstrap Confidence Intervals for a Class of Parametric Problems . Biometrika , 72 : 45 – 58 .
   Web of Science ®Google Scholar
• Green , P. J. 1987 . Penalized Likelihood for General Semi-Parametric Regression Models . International Statistical Review , 55 : 245 – 259 .
   Web of Science ®Google Scholar
• Groeneboom , P. 1988 . Asymptotics for Incomplete Censored Observations unpublished manuscript
   Google Scholar
• Hastie , T. and Tibshirani , R. 1986 . Generalized Additive Models . Statistical Science , 1 : 297 – 318 . (with discussion)
   Google Scholar
• Ho , D. D. , Moudgil , T. and Alam , M. 1989 . Quantitation of Human Immunodeficiency Virus Type I in the Blood of Infected Persons . New England Journal of Medicine , 321 : 1621 – 1625 .
   PubMed Web of Science ®Google Scholar
• Jewell , N. P. and Shiboski , S. 1990 . Statistical Analysis of HIV Infectivity Based on Partner Studies . Biometrics , 46 : 1133 – 1150 .
   PubMed Web of Science ®Google Scholar
• Kaplan , E. H. 1990 . Modeling HIV Infectivity: Must Sex Acts be Counted? . Journal of Acquired Immune Deficiency Syndromes , 3 : 55 – 61 .
   PubMed Web of Science ®Google Scholar
• Kim , M. Y. and Lagakos , S. W. 1990 . Estimating the Infectivity of HIV from Partner Studies . Annals of Epidemiology , 1 : 117 – 128 .
   PubMedGoogle Scholar
• Longini , I. M. , Clark , W. S. , Haber , M. and Horsburgh , R. Jr. 1989 . “ The Stages of HIV Infection: Waiting Times and Infection Transmission Probabilities ” . In Mathematical and Statistical Approaches to AIDS Epidemiology (Lecture Notes in Biomathematics, 83) , Edited by: Castillo-Chavez , C. 111 – 137 . New York : Springer-Verlag .
   Google Scholar
• McCullagh , P. and Nelder , J. 1989 . Generalized Linear Models, , 2nd ed. , New York : Chapman and Hall .
   Google Scholar
• Miller , H. G. , Turner , C. F. and Moses , L. 1991 . AIDS: The Second Decade , Washington , DC : National Academy Press .
   Google Scholar
• Padian , N. , Marquis , L. , Francis , D. P. , Anderson , R. E. , Rutherford , G. W. , O'Malley , P. M. and Winkelstein , W. 1987 . Male-to-Female Transmission of Human Immunodeficiency Virus . Journal of the American Medical Association , 258 : 788 – 790 .
   PubMed Web of Science ®Google Scholar
• Padian , N. , Shiboski , S. and Jewell , N. P. 1990 . The Association Between Number of Exposures and Rates of Heterosexual Transmission of Human Immunodeficiency Virus (HIV) . Journal of Infectious Diseases , 161 : 883 – 887 .
   PubMed Web of Science ®Google Scholar
• Peterman , T. A. , Stoneburner , R. L. , Allen , J. R. , Jaffe , H. W. and Curran , J. W. 1988 . Risk of HIV Transmission From Heterosexual Adults With Transfusion-Associated Infections . Journal of the American Medical Association , 259 : 55 – 63 .
   PubMed Web of Science ®Google Scholar
• Prentice , R. L. and Gloeckler , L. A. 1978 . Regression Analysis of Grouped Survival Data With Application to Breast Cancer Data . Biometrics , 34 : 57 – 67 .
   PubMed Web of Science ®Google Scholar
• Wiley , J. A. , Herschkorn , S. J. and Padian , N. S. 1989 . Heterogeneity in the Probability of HIV Transmission per Sexual Contact: The Case of Male-to-Female Transmission in Penile-Vaginal Intercourse . Statistics in Medicine , 8 : 93 – 102 .
   PubMed Web of Science ®Google Scholar
• Wu , C. F. J. 1983 . On the Convergence Properties of the EM Algorithm . The Annals of Statistics , 11 : 95 – 103 .
   Web of Science ®Google Scholar