Nonparametric Estimation for a form of Doubly Censored Data, with Application to Two Problems in AIDS

References

• Ayer , M. , Brunk , H. D. , Ewing , G. M. , Reid , W. T. and Silverman , E. 1955 . “An Empirical Distribution Function for Sampling with Incomplete Information,” . Annals of Mathematical Statistics , 26 : 641 – 647 .
   Google Scholar
• Barlow , R. E. , Bartholomew , D. J. , Bremner , J. M. and Brunk , H. D. 1972 . Statistical Inference Under Order Restrictions , New York : John Wiley .
   Google Scholar
• DeGruttola , V. and Lagakos , S. W. 1989 . “Analysis of Doubly-Censored Survival Data, With Application to AIDS,” . Biometrics , 45 : 1 – 11 .
   PubMed Web of Science ®Google Scholar
• Diamond , I. D. and McDonald , J. W. 1991 . “Analysis of Current-Status Data.” . In Demographic Applications of Event History Analysis , Edited by: Trussell , J. , Hankinson , R. and Tilton , J. 231 – 252 . Oxford , , UK : Oxford University Press .
   Google Scholar
• Diamond , I. D. , McDonald , J. W. and Shah , I. H. 1986 . “Proportional Hazards Models for Current Status Data: Application to the Study of Differentials in Age at Weaning in Pakistan,” . Demography , 23 : 607 – 620 .
   PubMed Web of Science ®Google Scholar
• Efron , B. 1982 . The Jackknife, the Bootstrap, and Other Resampling Plans , Philadelphia : Society for Industrial and Applied Mathematics .
   Google Scholar
• Finkelstein , D. 1986 . “A Proportional Hazards Model for Interval-Censored Failure Time Data,” . Biometrics , 42 : 845 – 854 .
   PubMed Web of Science ®Google Scholar
• Gill , P. E. , Murray , W. , Saunders , M. A. and Wright , M. H. 1986 . “User's Guide for NPSOL (Version 4.0): A Fortran Package for Nonlinear Programming,” , Stanford University, Dept. of Operations Research . Technical Report SOL 86-2
   Google Scholar
• Groeneboom , P. and Wellner , J. A. 1992 . Information Bounds and Nonparametric Maximum Likelihood Estimation , Boston : Birkhauser .
   Google Scholar
• Jewell , N. P. , Malani , H. and Vittinghoff , E. 1993 . “Nonparametric Estimation for a Form of Doubly Censored Data With Application to Two Problems in AIDS , University of California, Berkeley, Group in Biostatistics . Technical Report 38
   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
• Jewell , N. P. and Shiboski , S. 1993 . “The Design and Analysis of Partner Studies of HIV Transmission,” . In Methodological Issues in AIDS Behavioral Research , Edited by: Ostrow , D. G. and Kessler , R. C. 291 – 342 . New York : Plenum .
   Google Scholar
• Keiding , N. 1991 . “Age-Specific Incidence and Prevalence” . Journal of the Royal Statistical Society , 154 : 371 – 412 . (with discussion), Ser. A
   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
• Lindsay , B. G. 1983 . “The Geometry of Mixture Likelihoods: A General Theory,” . The Annals of Statistics , 11 : 86 – 94 .
   Web of Science ®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
• Petersen , L. R. , Satten , G. A. , Dodd , R. , Busch , M. , Kleinman , S. , Grindon , A. , Lenes , B. and J. Karon, and the HIV Lookback Study Group . 1994 . “Duration of Time from HIV-1 Infectiousness to Detectable Antibody,” submitted to Transfusion.
   Google Scholar
• Rabinowitz , D. , Tsiatis , A. and Aragon , J. 1994 . “Regression With Current Status Data,” submitted to Biometrika.
   Google Scholar
• Shiboski , S. and Jewell , N. P. 1992 . “Statistical Analysis of the Time Dependence of HIV Infectivity Based on Partner Study Data,” . Journal of the American Statistical Association , 87 : 360 – 372 .
   Web of Science ®Google Scholar