On the Breslow estimator

Lifetime Data Analysis

Volumn 13, Issue 4, 2007, Pages 471-480

  Lin, D Y ^a  

^a IL   (United States)

Author keywords

Cox model; Maximum likelihood; Partial likelihood; Proportional hazards; Semiparametric inference; Survival data

Indexed keywords

ARTICLE; HUMAN; PROPORTIONAL HAZARDS MODEL; STATISTICAL MODEL; SURVIVAL;

HUMANS; LIKELIHOOD FUNCTIONS; MODELS, STATISTICAL; PROPORTIONAL HAZARDS MODELS; SURVIVAL ANALYSIS;

EID: 37649024897     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10985-007-9048-y     Document Type: Article

References (30)

1. Andersen PK, Borgan ∅, Gill RD and Keiding N (1992). Statistical models based on counting processes. Springer, New York
2. Andersen PK and Gill RD (1982). Cox's regression model for counting processes: a large sample study. Ann Statist 10: 1100-1120
3. Borgan O, Goldstein L and Langholz B (1995). Methods for the analysis of sampled cohort data in the Cox proportional hazards model. Ann Statist 23: 1749-1778
4. Borgan ∅, Langholz B, Samuelsen SO, Goldstein L and Pagoda J (2000). Exposure stratified case-cohort designs. Lifetime Data Analy 6: 39-58
5. Breslow NE (1972). Discussion of the paper by D. R. Cox. J R Statist Soc B 34: 216-217
6. Breslow NE, Day NE (1980) Statistical methods in cancer research: 1. The design and analysis of case-control studies. IARC Scientific Publications 32. International Agency for Research on Cancer, Lyon, France
7. Breslow NE, Day NE (1987) Statistical methods for cancer research: 2. The design and analysis of cohort studies. IARC Scientific Publications 82. International Agency for Research on Cancer, Lyon, France
8. Breslow NE and Wellner JA (2007). Weighted likelihood for semiparametric models and two-phase stratified samples, with application to Cox regression. Scand J Statist 34: 86-102
9. Cox DR (1972). Regression models and life-tables (with discussion). J R Statist Soc B 34: 187-220
10. Cox DR (1975). Partial likelihood. Biometrika 62: 269-276
11. Fleming TR and Harrington DP (1991). Counting processes and survival analysis. Wiley, New York
12. Goldstein L and Langholz B (1992). Asymptotic theory for nested case-control sampling in the Cox regression model. Ann Statist 20: 1903-1928
13. Kalbfleisch JD and Prentice RL (1972). Discussion of the paper by D. R. Cox. J R Statist Soc B 34: 215-216
14. Kalbfleisch JD and Prentice RL (2002). The statistical analysis of failure time data. Wiley, Hoboken
15. Kulich M and Lin DY (2004). Improving the efficiency of relative-risk estimation in case-cohort studies. J Am Statist Ass 99: 832-844
16. Lee EW, Wei LJ and Amato DA (1992). Cox-type regression analysis for large numbers of small groups of correlated failure time observations. In: Klein, JP and Goel, PK (eds) In survival analysis: state of the art., pp 237-247. Kluwer Academic, Norwell, Mass.
17. Lin DY (2000). On fitting Cox's proportional hazards models to survey data. Biometrika 87: 37-48
18. Lin DY, Fleming TR and Wei LJ (1994). Confidence bands for survival curves under the proportional hazards model. Biometrika 81: 73-81
19. Parner E (1998). Asymptotic theory for the correlated gamma-frailty model. Ann Statist 26: 183-214
20. Prentice RL (1986). A case-cohort design for epidemiologic cohort studies and disease prevention trials. Biometrika 73: 1-11
21. Prentice RL and Breslow NE (1978). Retrospective studies and failure time models. Biometrika 65: 153-158
22. Scheike TH and Juul A (2004). Maximum likelihood estimation for Cox's regression model under nested case-control sampling. Biostatistics 5: 193-206
23. Scheike TH and Martinussen T (2004). Maximum likelihood estimation for Cox's regression model under case-cohort sampling. Scand J Statist 31: 283-293
24. Self SG and Prentice RL (1988). Asymptotic distribution theory and efficiency results for case-cohort studies. Ann Statist 16: 64-81
25. Spiekerman CF and Lin DY (1998). Marginal regression models for multivariate failure time data. J Am Statist Assoc 93: 1164-1175
26. Thomas DC (1977). Addendum to Methods for cohort analysis: Appraisal by application to asbestos mining by FDD Liddell, JC McDonald, PC Thomas. J Roy Statist Soc Ser A 140: 469-491
27. Tsiatis AA (1981). A large sample study of Cox's regression model. Ann Statist 9: 93-108
28. Zeng D and Lin DY (2006). Efficient estimation of semiparametric transformation models for counting processes. Biometrika 93: 627-640
29. Zeng D, Lin DY, Lin X (2007) Semiparametric transformation models with random effects for clustered failure time data. Stat Sin (in press)
30. Zeng D, Lin DY, Avery CL and North KE (2006). Efficient semiparametric estimation of haplotype-disease associations in case-cohort and nested case-control studies. Biostatistics 7: 486-502