The central limit theorem under semiparametric random censorship models

Journal of Statistical Planning and Inference

Volumn 127, Issue 1-2, 2005, Pages 23-51

  Dikta, Gerhard ^a   Ghorai, Jugal ^b   Schmidt, Christian ^a  

^a AACHEN UNIVERSITY OF APPLIED SCIENCES   (Germany)

^b UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

Author keywords

Censored data; CLT; Kaplan Meier estimator; Maximum likelihood estimation; Proportional hazards model

Indexed keywords

EID: 5444223026     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2003.09.013     Document Type: Article

References (17)

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. Asymptotic normality under the Koziol-Green model Comm. Statist. Theory Methods 24 1995 1537-1549
5. Dikta G. On semiparametric random censorship models Statist. Plann. Inference 66 1998 253-279
6. Dikta G. The strong law under semiparametric random censorship models J. Statist. Plann. Inference 83 2000 1-10
7. Dikta G. Weak representation of the cumulative hazard function under semiparametric random censorship models Statistics 35 2001 395-409
8. Dikta G. Hansmann R. Schmidt C. 2002. Some simulation results under random censorship models. InterStat., March, 2002.
9. Efron B. 1967. The two-sample problem with censored data. Proceedings of the 5th Berkeley Symposium, Vol. 4, pp. 831-853.
10. Kaplan E.L. Meier P. Nonparametric estimation from incomplete observations J. Amer. Statist. Assoc. 53 1958 457-481
11. Koziol J.A. Green S.B. A Cramér-von Mises statistic for randomly censored data Biometrika 63 1976 465-474
12. Serfling R.J. Approximation Theorems of Mathematical Statistics 1980 Wiley New York
13. Shorack G.R. Wellner J.A. Empirical Processes with Applications to Statistics 1986 Wiley New York
14. Stute W. Strong consistency under the Koziol-Green model Statist. Probab. Lett. 14 1992 313-320
15. Stute W. The bias of Kaplan-Meier Integrals Scand. J. Statist. 21 1994 475-484
16. Stute W. The central limit theorem under random censorship Ann. Statist. 23 1995 422-439
17. Stute W. Wang J.-L. The strong law under random censorship Ann. Statist. 21 1993 1591-1607