메뉴 건너뛰기




Volumn 54, Issue 3, 2002, Pages 476-499

Asymptotic theory for the gamma frailty model with dependent censoring

Author keywords

Bootstrap; Dependent censoring; Empirical processes; Functional delta method; Gamma frailty model; U statistics; Weak convergence; Z estimators

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; MEDICAL APPLICATIONS; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; RISK ASSESSMENT; STATISTICS; THEOREM PROVING;

EID: 12244311860     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022450708498     Document Type: Article
Times cited : (3)

References (21)
  • 1
    • 0017883262 scopus 로고
    • A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence
    • Clayton, D. G. (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.
    • (1978) Biometrika , vol.65 , pp. 141-151
    • Clayton, D.G.1
  • 3
    • 0347472470 scopus 로고    scopus 로고
    • Adaptation of bivariate frailty models for prediction, with application to biological markers as prognostic factors
    • Day, R., Bryant, J. and Lefkopoulou, M. (1997) Adaptation of bivariate frailty models for prediction, with application to biological markers as prognostic factors, Biometrika, 84, 45-56.
    • (1997) Biometrika , vol.84 , pp. 45-56
    • Day, R.1    Bryant, J.2    Lefkopoulou, M.3
  • 4
    • 0001104182 scopus 로고
    • The two sample problem with censored data
    • Univ. of California Press, Berkeley
    • Efron, B. (1967). The two sample problem with censored data, Proc. Fifth Berkeley Symp. on Math. Statist. Prob., 4, 831-855, Univ. of California Press, Berkeley.
    • (1967) Proc. Fifth Berkeley Symp. on Math. Statist. Prob. , vol.4 , pp. 831-855
    • Efron, B.1
  • 5
    • 0002344794 scopus 로고
    • Bootstrap methods: Another look at the jackknife
    • Efron, B. (1979). Bootstrap methods: Another look at the jackknife, Ann. Statist., 7, 1-26.
    • (1979) Ann. Statist. , vol.7 , pp. 1-26
    • Efron, B.1
  • 7
    • 12244284030 scopus 로고    scopus 로고
    • Estimation of the association between bivariate failure times in the semi-competing risks problem
    • American Statistical Association Alexandria, Virginia
    • Jiang, H., Fine, J. P. and Chappell, R. J. (1999). Estimation of the association between bivariate failure times in the semi-competing risks problem, 1999 Proceedings of the Biometrics Section, 192-194, American Statistical Association Alexandria, Virginia.
    • (1999) 1999 Proceedings of the Biometrics Section , pp. 192-194
    • Jiang, H.1    Fine, J.P.2    Chappell, R.J.3
  • 8
    • 12244298260 scopus 로고    scopus 로고
    • On self-consistency in the gamma frailty model with dependent censoring
    • Tech. Report, No. 137, Department of Biostatistics and Medical Informatics, University of Wisconsin, Madison
    • Jiang, H., Fine, J. P., Kosorok, M. R., and Chappell, R. J. (2001). On self-consistency in the gamma frailty model with dependent censoring. Tech. Report, No. 137, Department of Biostatistics and Medical Informatics, University of Wisconsin, Madison.
    • (2001)
    • Jiang, H.1    Fine, J.P.2    Kosorok, M.R.3    Chappell, R.J.4
  • 10
    • 21844522789 scopus 로고
    • Consistency in a proportional hazards model incorporating a random effect
    • Murphy, S. A. (1994). Consistency in a proportional hazards model incorporating a random effect, Ann. Statist., 22, 712-731.
    • (1994) Ann. Statist. , vol.22 , pp. 712-731
    • Murphy, S.A.1
  • 11
    • 21844510373 scopus 로고
    • Asymptotic theory for the frailty model
    • Murphy, S. A. (1995). Asymptotic theory for the frailty model, Ann. Statist., 23, 182-198.
    • (1995) Ann. Statist. , vol.23 , pp. 182-198
    • Murphy, S.A.1
  • 12
    • 0001503306 scopus 로고
    • Semiparametric inference in a model for association in bivariate survival data
    • Oakes, D. (1986). Semiparametric inference in a model for association in bivariate survival data, Biometrika, 73, 353-361.
    • (1986) Biometrika , vol.73 , pp. 353-361
    • Oakes, D.1
  • 13
    • 23444432123 scopus 로고
    • Bivariate survival models induced by frailties
    • Oakes, D. (1989). Bivariate survival models induced by frailties, J. Amer. Statist. Assoc., 84, 487-493.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 487-493
    • Oakes, D.1
  • 14
    • 0032395685 scopus 로고    scopus 로고
    • Asymptotic theory for the correlated gamma-frailty model
    • Parner, E. (1998). Asymptotic theory for the correlated gamma-frailty model, Ann. Statist., 26, 183-214.
    • (1998) Ann. Statist. , vol.26 , pp. 183-214
    • Parner, E.1
  • 15
    • 0001018767 scopus 로고
    • Exchangeably weighted bootstraps of the general empirical process
    • Praestegaard, J. and Wellner, J. A. (1993). Exchangeably weighted bootstraps of the general empirical process, Ann. Probab., 21, 2053-2086.
    • (1993) Ann. Probab. , vol.21 , pp. 2053-2086
    • Praestegaard, J.1    Wellner, J.A.2
  • 16
    • 0013225744 scopus 로고
    • A generalized Kaplan-Meier estimator
    • Robertson, J. B. and Uppuluri, V. R. (1984). A generalized Kaplan-Meier estimator, Ann. Statist., 12, 366-371.
    • (1984) Ann. Statist. , vol.12 , pp. 366-371
    • Robertson, J.B.1    Uppuluri, V.R.2
  • 18
    • 0001507219 scopus 로고
    • A large sample study of generalized maximum likelihood estimators from incomplete data via self-consistency
    • Tsai, W.-Y. and Crowley, J. (1985). A large sample study of generalized maximum likelihood estimators from incomplete data via self-consistency, Ann. Statist., 13, 1317-1334.
    • (1985) Ann. Statist. , vol.13 , pp. 1317-1334
    • Tsai, W.-Y.1    Crowley, J.2
  • 19
    • 0008548846 scopus 로고
    • A nonidentifiability aspect of the problem of competing risks
    • Tsiatis, A. A. (1975). A nonidentifiability aspect of the problem of competing risks, Proc. Nat. Acad. Sci. U.S.A., 72, 20-22.
    • (1975) Proc. Nat. Acad. Sci. U.S.A. , vol.72 , pp. 20-22
    • Tsiatis, A.A.1
  • 21
    • 0000418739 scopus 로고
    • Large sample study of empirical distributions in random multiplicative censoring model
    • Vardi, Y. and Zhang, C.-H. (1992). Large sample study of empirical distributions in random multiplicative censoring model, Ann. Statist., 20, 1022-1039.
    • (1992) Ann. Statist. , vol.20 , pp. 1022-1039
    • Vardi, Y.1    Zhang, C.-H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.