A competing risks model for correlated data based on the subdistribution hazard

Lifetime Data Analysis

Volumn 17, Issue 4, 2011, Pages 473-495

  Dixon, Stephanie N ^a   Darlington, Gerarda A ^b   Desmond, Anthony F ^b  

^a WESTERN UNIVERSITY   (Canada)

^b UNIVERSITY OF GUELPH   (Canada)

Author keywords

Competing risks; Cumulative incidence function; Familial aggregation; Semi parametric

Indexed keywords

ARTICLE; BREAST TUMOR; COMPARATIVE STUDY; COMPUTER SIMULATION; EPIDEMIOLOGY; FAMILY; FEMALE; GENETICS; HUMAN; INCIDENCE; METHODOLOGY; MORTALITY; PROPORTIONAL HAZARDS MODEL; RISK ASSESSMENT; SURVIVAL; TUMOR SUPPRESSOR GENE;

BREAST NEOPLASMS; COMPUTER SIMULATION; EPIDEMIOLOGIC RESEARCH DESIGN; FAMILY; FEMALE; GENES, BRCA1; HUMANS; INCIDENCE; PROPORTIONAL HAZARDS MODELS; RISK ASSESSMENT; SURVIVAL ANALYSIS;

EID: 80052846707     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10985-011-9198-9     Document Type: Article

References (29)

1. Bender R, Augustin T, Blettner M (2005) Generating survival times to simulate Cox proportional hazards models. Stat Med 24: 1715-1723.
2. Chen B, Kramer J, Greene M, Rosenberg P (2008) Competing risks analysis of correlated failure time data. Biometrics 64: 172-179.
3. Cheng Y, Fine J (2008) Nonparametric estimation of cause-specific cross hazard ratio with bivariate competing risks data. Biometrika 95: 233-240.
4. Cheng Y, Fine J, Kosorok M (2007) Nonparametric association analysis of bivariate competing-risks data. J Am Stat Assoc 102: 1407-1415.
5. Clayton D (1978) A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 65: 141-151.
6. Clayton D, Cuzick (1985) Multivariate generalizations of the proportional hazards model. J R Stat Soc Ser A 148: 82-117.
7. Fine J, Gray R (1999) A proportional hazards model for the subdistribution of a competing risk. J Am Stat Assoc 94: 486-509.
8. Glidden D (2000) A two-stage estimator of the dependence parameter for the Clayton-Oakes model. Lifetime Data Anal 6: 141-156.
9. Glidden D, Self S (1999) Semiparametric likelihood estimation in the Clayton-Oakes failure time model. Scand J Stat 26: 363-372.
10. Glidden D, Vittinghoff E (2004) Modeling clustered survival data from multicenter clinical trials. Stat Med 23: 369-388.
11. Gray R (1988) A class of k-sample tests for comparing the cumulative incidence of a competing risk. Ann Stat 16: 1141-1154.
12. Hougaard P (2000) Analysis of multivariate survival data. Springer-Verlag, New York.
13. Hsu L, Gorfine M, Malone K (2007) On robustness of marginal regression coefficient estimates and hazard functions in multivariate survival analysis of family data when the frailty distribution is mis-specified. Stat Med 26: 4657-4678.
14. Kalbfleisch J, Prentice R (2002) The statistical analysis of failure time data. 2. Wiley, New York.
15. Katsahian S, Resche-Rigon M, Chevret S, Porcher R (2006) Analysing multicentre competing risks data with a mixed proportional hazards model for the subdistribution. Stat Med 25: 4267-4278.
16. Klein J (1992) Semiparametric estimation of random effects using the Cox model based on the EM algorithm. Biometrics 48: 795-806.
17. Kramer J, Velazquez I, Chen B, Rosenberg P, Struewing J, Green M (2005) Prophylactic oophorectomy reduces breast cancer penetrance during prospective long-term follow-up of BRCA1 mutation carriers. J Clin Oncol 23: 8629-8635.
18. Leemis L (1987) Variate generation for accelerated life and proportional hazards models. Oper Res 35: 892-894.
19. Leemis L, Shih LH, Reynertson K (1990) Variate generation for accelerated life and proportional hazards models with time dependent covariates. Stat Probab Lett 10: 335-339.
20. Lin D (2007) On the Breslow estimator. Lifetime Data Anal 13: 471-480.
21. Nielsen G, Gill R, Andersen P, Sørensen T (1992) A counting process approach to maximum likelihood estimation in frailty models. Scand J Stat 18: 25-43.
22. Oakes D (1989) Bivariate survival models induced by frailties. J Am Stat Assoc 84: 487-493.
23. Pepe M, Mori M (1993) Kaplan-Meier, marginal or conditional probability curves in summarizing competing risks failure time data. Stat Med 12: 737-751.
24. Pintilie M (2006) Competing risks: a practical perspective. Wiley, England.
25. Pipper C, Martinussen T (2003) A likelihood based estimating equation for the Clayton-Oakes model with marginal proportional hazards. Scand J Stat 30: 509-521.
26. R Development Core Team: (2009) R: a language and environment for statistical computing. R foundation for statistical computing. Vienna, Austria.
27. Rutter J, Smith A, Dávilla M, Sigurdson A, Giusti R, Pinede M, Doody M, Tucker M, Greene M, Zhang J, Struewing J (2005) Mutational analysis of the BRCA1-interacting genes ZNF350/ZBRK1 and BRIP1/BACH1 among BRCA1 and BRCA2-negative probands from breast-ovarian cancer families and among early-onset breast cancer cases and reference individuals. Hum Mutat 22: 121-128.
28. Shih J, Louis T (1995) Assessing gamma frailty models for clustered failure time data. Lifetime Data Anal 1: 205-220.
29. Struewing J, Brody L, Erdos M, Kase R, Giambarresi T, Smith S, Collins F, Tucker M (1995) Detection of eight BRCA1 mutations in 10 breast/ovarian cancer families, including 1 family with male breast cancer. Am J Hum Genet 57: 1-7.