Product-limit Estimators and Cox Regression with Missing Censoring Information

Scandinavian Journal of Statistics

Volumn 25, Issue 4, 1998, Pages 589-601

  McKeague, Ian W ^b   Subramanian, Sundarraman ^a  

^a UNIVERSITY OF MAINE   (United States)

^b University of Maine ^*

Author keywords

Counting processes; Incomplete data; Nelson Aalen estimators; Product integral; Right censorship

Indexed keywords

EID: 0032349632     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00123     Document Type: Article

References (17)

1. Andersen, P. K. & Gill, R. D. (1982). Cox's regression model for counting processes: a large sample study. Ann. Statist. 10, 1100-1120.
2. Andersen, P. K., Borgan, Ø., Keiding, N. & Gill, R. D. (1993). Statistical models based on counting processes. Springer, New York.
3. Cox, D. R. (1972). Regression models and life tables (with discussion). J. Roy. Statist. Soc. Ser. B 34, 187-220.
4. Dinse, G. E. (1982). Nonparametric estimation for partially-complete time and type of failure data. Biometrics 38, 417-431.
5. Efron, B. (1967). The two sample problem with censored data. Proc. 5th Berkeley Symp. Math. Statist. Probab. 4, 831-853.
6. Gijbels, I., Lin, D. Y. & Ying, Z. (1993). Non- and semi-parametric analysis of failure time data with missing failure indicators. Tech. Report 039-93, Mathematical Sciences Research Institute, Berkeley.
7. Gill, R. D. (1989). Non- and semi- parametric maximum likelihood estimators and the von Mises method (part 1). Scand. J. Statist. 16, 97-124.
8. Gill, R. D. & Johansen, S. (1990). A survey of product-integration with a view toward application in survival analysis. Ann. Statist. 18, 1501-1555.
9. Gill, R. D., van der Laan, M. J. & Robins, J. M. (1997). Coarsening at random. In 1st Seattle Symp. Biostatist. (ed. D.-Y. Lin). Springer, New York.
10. Goetghebeur, E. J. & Ryan, L. (1995). Analysis of competing risks survival data when some failure types are missing. Biometrika 82, 821-833.
11. Heitjan D. F. & Rubin D. B. (1991). Ignorability and coarse data. Ann. Statist. 19, 2244-2253.
12. Jacobsen, M. & Keiding, N. (1995). Coarsening at random in general sample spaces and random censoring in continuous time. Ann. Statist. 23, 774-786.
13. van der Laan, M. J. & McKeague, I. W. (1998). Efficient estimation from right-censored data when failure indicators are missing at random. Ann. Statist. 26, No. 1.
14. Little, R. J. A. & Rubin, D. B. (1987). Statistical analysis with missing data. Wiley, New York.
15. Lo, S.-H. (1991). Estimating a survival function with incomplete cause-of-death data. J. Multivar. Anal. 39, 217-235.
16. Robins, J. M. & Ritov, Y. (1997). Toward a curse of dimensionality appropriate (CODA) asymptotic theory for semi-parametric models. Statist. Med. 16, 285-319.
17. Rubin, D. B. (1976). Inference and missing data. Biometrika 63, 581-590.