The strong law under semiparametric random censorship models

Journal of Statistical Planning and Inference

Volumn 83, Issue 1, 2000, Pages 1-10

  Dikta, Gerhard ^a  

^a AACHEN UNIVERSITY OF APPLIED SCIENCES   (Germany)

Author keywords

Censored data; Kaplan Meier estimator; Maximum likelihood estimation; Primary 60F15; Proportional hazards model; Reverse supermartingale; Secondary 60G42; SLLN; Uniform consistency

Indexed keywords

EID: 0002899425     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(99)00086-5     Document Type: Article

References (12)

1. Abdushukurov, A.A., 1987. Nonparametric estimation in the proportional hazards model of random censorship. Akad. Nauk Uz Tashkent. VINITI No. 3448-V (in Russian).
2. Cheng P.E., Lin G.D. Maximum likelihood estimation of a survival function under the Koziol-Green proportional hazards model. Statist. Probab. Lett. 5:1987;75-80.
3. Csörgo S. Estimation in the proportional hazards model of random censorship. Statistics. 19:1988;437-463.
4. Dikta G. On semiparametric random censorship models. J. Statist. Plann. Inference. 66:1998;253-279.
5. Kaplan E.L., Meier P. Nonparametric estimation from incomplete observations. J. Amer. Statist. Assoc. 53:1958;457-481.
6. Koziol J.A., Green S.B. A Cramér-von Mises statistic for randomly censored data. Biometrika. 63:1976;465-474.
7. Loève, M., 1977. Probability Theory I, 4th ed. Springer, New York.
8. Neveu, J., 1975. Discrete-Parameter Martingales. North-Holland, Amsterdam.
9. Randles, R.H., Wolfe, D.A., 1979. Introduction to the Theory of Nonparametric Statistics. Wiley, New York.
10. Stute W. Strong consistency under the Koziol-Green model. Statist. Probab. Lett. 14:1992;313-320.
11. Stute W. The central limit theorem under random censorship. Ann. Statist. 23:1995;422-439.
12. Stute W., Wang J.-L. The strong law under random censorship. Ann. Statist. 21:1993;1591-1607.