The NPMLE for doubly censored current status data

Scandinavian Journal of Statistics

Volumn 28, Issue 3, 2001, Pages 537-547

  Van Der Laan, Mark J ^a   Jewell, Nicholas P ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

AIDS partner studies; Doubly censored current status data; Efficiency; Nonparametric maximum likelihood estimator

Indexed keywords

EID: 0035535913     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00253     Document Type: Article

References (20)

1. Barlow, R. E., Bartholomew, D. J., Bremner, J. M. & Brunk, H. D. (1972). Statistical inference under order restrictions. Wiley, New York.
2. Bickel, P. J., Klaassen, C. A. J., Ritov, Y. & Wellner, J. A. (1993). Efficient and adaptive inference in semi-parametric models. Johns Hopkins University Press, Baltimore.
3. p. Mat. Sb. 73, 295-317.
4. Diamond, I. D., McDonald, J. W. & 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.
5. Diamond, I. D. & McDonald, J. W. (1991). The analysis of current status data. Demographic applications of event history analysis (eds J. Trussell, R. Hankinson & J. Tilton). Oxford University Press, Oxford.
6. Groeneboom, P. (1991). Nonparametric maximum likelihood estimators for interval censoring and deconvolution. Technical report 378, Department of Statistics, Stanford University, California.
7. Groeneboom, P. & Wellner, J. A. (1992). Information bounds and nonparametric maximum likelihood estimation. Birkhäuser, Boston.
8. Huang, J. & Wellner, J. A. (1995). Asymptotic normaility of the NPMLE of linear functional for interval censored data, case I. Statist. Neerland. 49, 153-163.
9. Jewell, N. P. & Shiboski, S. C. (1990). Statistical analysis of HIV infectivity based on partner studies. Biometrics 46, 1133-1150.
10. Jewell, N. P., Malani, H. M. & Vittinghoff, E. (1994). Nonparametric estimation for a form of doubly censored data with application to two problems in aids. J. Amer Statist. Assoc. 89, 7-18.
11. Jongbloed, G. (1995). Three statistical inverse problems. PhD dissertation, Delft University of Technology, Delft.
12. Keiding, N. (1991). Age-specific incidence and prevalence (with discussion). J. Roy. Statist. Soc. Ser. A 154, 371-412.
13. van de Geer, S. (1993). Hellinger-consistency of certain nonparametric maximum likelihood estimators. Ann. Statist. 21, 14-44.
14. van de Geer, S. (1994). Asymptotic normality in mixture models. Preprint, University of Leiden, The Netherlands.
15. van der Laan, M. J. (1998). Identity for NPMLE in censored data models. Lifetime Data Models 4, 83-102.
16. van der Laan, M. J. & Andrews, C. (2000). The NPMLE in a class of doubly censored current status data models with applications to AIDS Partner studies. Biometrika 87, 61-71.
17. van der Laan, M. J., Bickel, P. J. & Jewell, N. P. (1997). Singly and doubly censored current status data: estimation, asymptotics and regression. Scand. J. Statist. 24, 289-308.
18. Mamman, E. (1991). Nonparametric regression under qualitative smoothness assumptions. Ann. Statist. 19, 741-759.
19. Rabinowitz, D. & Jewell, N. P. (1996). Regression with doubly censored current status data. J. Roy. Statist. Soc. Ser. B 58, 541-550.
20. van der Vaart, A. W. & Wellner, J. A. (1996). Weak convergence and empirical processes. Springer-Verlag, New York.