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Volumn 69, Issue 4, 2007, Pages 507-564

Maximum likelihood estimation in semiparametric regression models with censored data

Author keywords

Counting process; EM algorithm; Generalized linear mixed models; Joint models; Multivariate failure times; Non parametric likelihood; Profile likelihood; Proportional hazards; Random effects; Repeated measures; Semiparametric efficiency; Survival data

Indexed keywords


EID: 34547837458     PISSN: 13697412     EISSN: 14679868     Source Type: Journal    
DOI: 10.1111/j.1369-7412.2007.00606.x     Document Type: Article
Times cited : (273)

References (185)
  • 1
    • 0002468753 scopus 로고
    • Prediction and entropy
    • (eds A. C. Atkinson and S. E. Fienberg), New York: Springer
    • Akaike, H. (1985) Prediction and entropy. In A Celebration of Statistics (eds A. C. Atkinson and S. E. Fienberg), pp. 1-24. New York: Springer.
    • (1985) A Celebration of Statistics , pp. 1-24
    • Akaike, H.1
  • 3
    • 0001646484 scopus 로고
    • Cox's regression model for counting processes: A large sample study
    • Andersen, P. K. and Gill, R. D. (1982) Cox's regression model for counting processes: a large sample study. Ann. Statist., 10, 1100-1120.
    • (1982) Ann. Statist. , vol.10 , pp. 1100-1120
    • Andersen, P.K.1    Gill, R.D.2
  • 4
    • 0031452175 scopus 로고    scopus 로고
    • Estimation of Cox's regression model with shared gamma frailties
    • Andersen, P. K., Klein, J. P., Knudsen, K. M. and Tabanera y Placios, R. (1997) Estimation of Cox's regression model with shared gamma frailties. Biometrics, 53, 1475-1484.
    • (1997) Biometrics , vol.53 , pp. 1475-1484
    • Andersen, P.K.1    Klein, J.P.2    Knudsen, K.M.3    Tabanera Y Placios, R.4
  • 5
    • 14544284791 scopus 로고    scopus 로고
    • Analysis of survival data with cross-effects of survival functions
    • Bagdonavicius, V., Hafdi, M. A. and Nikulin, M. (2004) Analysis of survival data with cross-effects of survival functions. Biostatistics, 5, 415-425.
    • (2004) Biostatistics , vol.5 , pp. 415-425
    • Bagdonavicius, V.1    Hafdi, M.A.2    Nikulin, M.3
  • 6
    • 0020961129 scopus 로고
    • Analysis of survival data by the proportional odds model
    • Bennett, S. (1983) Analysis of survival data by the proportional odds model. Statist. Med., 2, 273-277.
    • (1983) Statist. Med. , vol.2 , pp. 273-277
    • Bennett, S.1
  • 9
    • 84950908706 scopus 로고
    • An analysis of transformations revisited, rebutted
    • Box, G. E. P. and Cox, D. R. (1982) An analysis of transformations revisited, rebutted. J. Am. Statist. Ass., 77, 209-210.
    • (1982) J. Am. Statist. Ass. , vol.77 , pp. 209-210
    • Box, G.E.P.1    Cox, D.R.2
  • 10
    • 0000336135 scopus 로고
    • Discussion on 'Regression models and life-tables' (by D. R. Cox)
    • Breslow, N. (1972) Discussion on 'Regression models and life-tables' (by D. R. Cox). J. R. Statist. Soc. B, 34, 216-217.
    • (1972) J. R. Statist. Soc. B , vol.34 , pp. 216-217
    • Breslow, N.1
  • 11
    • 0035998824 scopus 로고    scopus 로고
    • Semiparametric mixed-effects models for clustered failure time data
    • Cai, T., Cheng, S. C. and Wei, L. J. (2002) Semiparametric mixed-effects models for clustered failure time data. J. Am Statist. Ass., 97, 514-522.
    • (2002) J. Am Statist. Ass. , vol.97 , pp. 514-522
    • Cai, T.1    Cheng, S.C.2    Wei, L.J.3
  • 12
    • 0035998837 scopus 로고    scopus 로고
    • Double-semiparametric method for missing covariates in Cox regression models
    • Chen, H. Y. (2002) Double-semiparametric method for missing covariates in Cox regression models. J. Am. Statist. Ass., 97, 565-576.
    • (2002) J. Am. Statist. Ass. , vol.97 , pp. 565-576
    • Chen, H.Y.1
  • 13
    • 1542532491 scopus 로고    scopus 로고
    • Proportional hazards regression with missing covariates
    • Chen, H. Y. and Little, R. J. A. (1999) Proportional hazards regression with missing covariates. J. Am. Statist. Ass., 94, 896-908.
    • (1999) J. Am. Statist. Ass. , vol.94 , pp. 896-908
    • Chen, H.Y.1    Little, R.J.A.2
  • 14
    • 16344368222 scopus 로고    scopus 로고
    • Semiparametric analysis of transformation models with censored data
    • Chen, K., Jin, Z. and Ying, Z. (2002) Semiparametric analysis of transformation models with censored data. Biometrika, 89, 659-668.
    • (2002) Biometrika , vol.89 , pp. 659-668
    • Chen, K.1    Jin, Z.2    Ying, Z.3
  • 15
    • 77956889312 scopus 로고
    • Analysis of transformation models with censored data
    • Cheng, S. C., Wei, L. J. and Ying, Z. (1995) Analysis of transformation models with censored data. Biometrika, 82, 835-845.
    • (1995) Biometrika , vol.82 , pp. 835-845
    • Cheng, S.C.1    Wei, L.J.2    Ying, Z.3
  • 16
    • 0002537776 scopus 로고
    • Multivariate generalizations of the proportional hazards model (with discussion)
    • Clayton, D. and Cuzick, J. (1985) Multivariate generalizations of the proportional hazards model (with discussion). J. R. Statist. Soc. A, 148, 82-117.
    • (1985) J. R. Statist. Soc. A , vol.148 , pp. 82-117
    • Clayton, D.1    Cuzick, J.2
  • 17
    • 34249771074 scopus 로고
    • On the convergence of reflective Newton methods for large-scale nonlinear minimization subject to bounds
    • Coleman, T. F. and Li, Y. (1994) On the convergence of reflective Newton methods for large-scale nonlinear minimization subject to bounds. Math. Programng, 67, 189-224.
    • (1994) Math. Programng , vol.67 , pp. 189-224
    • Coleman, T.F.1    Li, Y.2
  • 18
    • 0030303844 scopus 로고    scopus 로고
    • An interior, trust region approach for nonlinear minimization subject to bounds
    • Coleman, T. F. and Li, Y. (1996) An interior, trust region approach for nonlinear minimization subject to bounds. SIAM J. Optimizn, 6, 418-445.
    • (1996) SIAM J. Optimizn , vol.6 , pp. 418-445
    • Coleman, T.F.1    Li, Y.2
  • 19
    • 0000336139 scopus 로고
    • Regression models and life-tables (with discussion)
    • Cox, D. R. (1972) Regression models and life-tables (with discussion). J. R. Statist. Soc. B, 34, 187-220.
    • (1972) J. R. Statist. Soc. B , vol.34 , pp. 187-220
    • Cox, D.R.1
  • 20
    • 0016794660 scopus 로고
    • Partial likelihood
    • Cox, D. R. (1975) Partial likelihood. Biometrika, 62, 269-276.
    • (1975) Biometrika , vol.62 , pp. 269-276
    • Cox, D.R.1
  • 21
    • 0002266120 scopus 로고
    • Partial likelihood in transformation models with censored data
    • Dabrowska, D. M. and Doksum, K. A. (1988) Partial likelihood in transformation models with censored data. Scand. J. Statist., 18, 1-23.
    • (1988) Scand. J. Statist. , vol.18 , pp. 1-23
    • Dabrowska, D.M.1    Doksum, K.A.2
  • 22
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the em algorithm (with discussion)
    • Dempster, A. P., Laird, N. M. and Rubin, D. B. (1977) Maximum likelihood from incomplete data via the EM algorithm (with discussion). J. R. Statist. Soc. B, 39, 1-38.
    • (1977) J. R. Statist. Soc. B , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 23
    • 20544453635 scopus 로고    scopus 로고
    • A powerful and robust method for mapping quantitative trait loci in general pedigrees
    • Diao, G. and Lin, D. Y. (2005) A powerful and robust method for mapping quantitative trait loci in general pedigrees. Am. J. Hum. Genet., 77, 97-111.
    • (2005) Am. J. Hum. Genet. , vol.77 , pp. 97-111
    • Diao, G.1    Lin, D.Y.2
  • 25
    • 0020387435 scopus 로고
    • The use of mixture models for the analysis of survival data with long-term survivors
    • Farewell, V. T. (1982) The use of mixture models for the analysis of survival data with long-term survivors. Biometrics, 38, 1041-1046.
    • (1982) Biometrics , vol.38 , pp. 1041-1046
    • Farewell, V.T.1
  • 27
    • 0000710136 scopus 로고    scopus 로고
    • Joint modelling of longitudinal measurements and event time data
    • Henderson, R., Diggle, P. and Dobson, A. (2000) Joint modelling of longitudinal measurements and event time data. Biostatistics, 4, 465-480.
    • (2000) Biostatistics , vol.4 , pp. 465-480
    • Henderson, R.1    Diggle, P.2    Dobson, A.3
  • 28
    • 0031022645 scopus 로고    scopus 로고
    • Model-based approaches to analysing incomplete longitudinal and failure time data
    • Hogan, J. W. and Laird, N. M. (1997) Model-based approaches to analysing incomplete longitudinal and failure time data. Statist. Med., 16, 259-272.
    • (1997) Statist. Med. , vol.16 , pp. 259-272
    • Hogan, J.W.1    Laird, N.M.2
  • 31
    • 0035648841 scopus 로고    scopus 로고
    • On heteroscedastic hazards regression models: Theory and application
    • Hsieh, F. (2001) On heteroscedastic hazards regression models: theory and application. J. R. Statist. Soc. B, 63, 63-79.
    • (2001) J. R. Statist. Soc. B , vol.63 , pp. 63-79
    • Hsieh, F.1
  • 32
    • 10844293378 scopus 로고    scopus 로고
    • Joint modeling and estimation for recurrent event processes and failure time data
    • Huang, C. Y. and Wang, M. C. (2004) Joint modeling and estimation for recurrent event processes and failure time data. J. Am. Statist, Ass., 99, 1153-1165.
    • (2004) J. Am. Statist, Ass. , vol.99 , pp. 1153-1165
    • Huang, C.Y.1    Wang, M.C.2
  • 33
    • 0030501199 scopus 로고    scopus 로고
    • Efficient estimation for the proportional hazards model with interval censoring
    • Huang, J. (1996) Efficient estimation for the proportional hazards model with interval censoring. Ann. Statist., 24, 540-568.
    • (1996) Ann. Statist. , vol.24 , pp. 540-568
    • Huang, J.1
  • 35
    • 3843055562 scopus 로고    scopus 로고
    • Rank-based inference for the accelerated failure time model
    • Jin, Z., Lin, D. Y., Wei, L. J. and Ying, Z. (2003) Rank-based inference for the accelerated failure time model. Biometrika, 90, 341-353.
    • (2003) Biometrika , vol.90 , pp. 341-353
    • Jin, Z.1    Lin, D.Y.2    Wei, L.J.3    Ying, Z.4
  • 36
    • 33644972271 scopus 로고    scopus 로고
    • On least-squares regression with censored data
    • Jin, Z., Lin, D. Y. and Ying, Z. (2006) On least-squares regression with censored data. Biometrika, 93, 147-161.
    • (2006) Biometrika , vol.93 , pp. 147-161
    • Jin, Z.1    Lin, D.Y.2    Ying, Z.3
  • 37
    • 0023838218 scopus 로고
    • Likelihood analysis of multi-state models for disease incidence and mortality
    • Kalbfleisch, J. D. and Lawless, J. F. (1988) Likelihood analysis of multi-state models for disease incidence and mortality. Statist. Med., 7, 147-160.
    • (1988) Statist. Med. , vol.7 , pp. 147-160
    • Kalbfleisch, J.D.1    Lawless, J.F.2
  • 39
    • 0026781058 scopus 로고
    • Semiparametric estimation of random effects using the Cox model based on the em algorithm
    • Klein, J. (1992) Semiparametric estimation of random effects using the Cox model based on the EM algorithm. Biometrics, 48, 795-806.
    • (1992) Biometrics , vol.48 , pp. 795-806
    • Klein, J.1
  • 40
    • 10344265691 scopus 로고    scopus 로고
    • Robust inference for proportional hazards univariate frailty regression models
    • Kosorok, M. R., Lee, B. L. and Fine, J. P. (2004) Robust inference for proportional hazards univariate frailty regression models. Ann. Statist., 32, 1448-1491.
    • (2004) Ann. Statist. , vol.32 , pp. 1448-1491
    • Kosorok, M.R.1    Lee, B.L.2    Fine, J.P.3
  • 41
    • 4944245162 scopus 로고    scopus 로고
    • Improving the efficiency of relative-risk estimation in case-cohort studies
    • Kulich, M. and Lin, D. Y. (2004) Improving the efficiency of relative-risk estimation in case-cohort studies. J. Am. Statist. Ass., 99, 832-844.
    • (2004) J. Am. Statist. Ass. , vol.99 , pp. 832-844
    • Kulich, M.1    Lin, D.Y.2
  • 42
    • 0027940746 scopus 로고
    • Cox regression analysis of multivariate failure time data: The marginal approach
    • Lin, D. Y. (1994) Cox regression analysis of multivariate failure time data: the marginal approach. Statist. Med., 13, 2233-2247.
    • (1994) Statist. Med. , vol.13 , pp. 2233-2247
    • Lin, D.Y.1
  • 43
    • 0141939440 scopus 로고    scopus 로고
    • Semiparametric regression analysis of longitudinal data with informative drop-outs
    • Lin, D. Y. and Ying, Z. (2003) Semiparametric regression analysis of longitudinal data with informative drop-outs. Biostatistics, 4, 385-398.
    • (2003) Biostatistics , vol.4 , pp. 385-398
    • Lin, D.Y.1    Ying, Z.2
  • 44
    • 33645517140 scopus 로고    scopus 로고
    • Likelihood-based inference on haplotype effects in genetic association studies (with discussion)
    • Lin, D. Y. and Zeng, D. (2006) Likelihood-based inference on haplotype effects in genetic association studies (with discussion). J. Am. Statist. Ass., 101, 89-118.
    • (2006) J. Am. Statist. Ass. , vol.101 , pp. 89-118
    • Lin, D.Y.1    Zeng, D.2
  • 45
    • 4444337742 scopus 로고    scopus 로고
    • Shared frailty models for recurrent events and a terminal event
    • Liu, L., Wolfe, R. A. and Huang, X. (2004) Shared frailty models for recurrent events and a terminal event. Biometrics, 60, 747-756.
    • (2004) Biometrics , vol.60 , pp. 747-756
    • Liu, L.1    Wolfe, R.A.2    Huang, X.3
  • 46
    • 0001044972 scopus 로고
    • Finding the observed information matrix when using the em algorithm
    • Louis, T. A. (1982) Finding the observed information matrix when using the EM algorithm. J. R. Statist. Soc. B, 44, 226-233.
    • (1982) J. R. Statist. Soc. B , vol.44 , pp. 226-233
    • Louis, T.A.1
  • 47
    • 24944434015 scopus 로고    scopus 로고
    • On semiparametric transformation cure models
    • Lu, W. and Ying, Z. (2004) On semiparametric transformation cure models. Biometrika, 91, 331-343.
    • (2004) Biometrika , vol.91 , pp. 331-343
    • Lu, W.1    Ying, Z.2
  • 48
    • 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
  • 49
    • 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
  • 50
    • 21744440602 scopus 로고    scopus 로고
    • Maximal likelihood estimation in the proportional odds model
    • Murphy, S. A., Rossini, A. J. and van der Vaart, A. W. (1997) Maximal likelihood estimation in the proportional odds model. J. Am. Statist. Ass., 92, 968-976.
    • (1997) J. Am. Statist. Ass. , vol.92 , pp. 968-976
    • Murphy, S.A.1    Rossini, A.J.2    Van Der Vaart, A.W.3
  • 52
    • 4944263938 scopus 로고    scopus 로고
    • Information bounds for Cox regression models with missing data
    • Nan, B., Emond, M. and Wellner, J. A. (2004) Information bounds for Cox regression models with missing data. Ann. Statist., 32, 723-753.
    • (2004) Ann. Statist. , vol.32 , pp. 723-753
    • Nan, B.1    Emond, M.2    Wellner, J.A.3
  • 53
    • 0002133303 scopus 로고
    • A counting process approach to maximum likelihood estimation in frailty models
    • Nielsen, G. G., Gill, R. D., Andersen, P. K. and Sorensen, T. I. A. (1992) A counting process approach to maximum likelihood estimation in frailty models. Scand. J. Statist., 19, 25-43.
    • (1992) Scand. J. Statist. , vol.19 , pp. 25-43
    • Nielsen, G.G.1    Gill, R.D.2    Andersen, P.K.3    Sorensen, T.I.A.4
  • 54
    • 23444432123 scopus 로고
    • Bivariate survival models induced by frailties
    • Oakes, D. (1989) Bivariate survival models induced by frailties. J. Am. Statist. Ass., 84, 487-493.
    • (1989) J. Am. Statist. Ass. , vol.84 , pp. 487-493
    • Oakes, D.1
  • 55
    • 0002461243 scopus 로고
    • Frailty models for multiple event times
    • (eds J. P. Klein and P. K. Goel), Dordrecht: Kluwer
    • Oakes, D. (1991) Frailty models for multiple event times. In Survival Analysis: State of the Art (eds J. P. Klein and P. K. Goel), pp. 371-379. Dordrecht: Kluwer.
    • (1991) Survival Analysis: State of the Art , pp. 371-379
    • Oakes, D.1
  • 56
    • 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
  • 57
    • 0034060858 scopus 로고    scopus 로고
    • A nonparametric mixture model for cure rate estimation
    • Peng, Y. and Dear, K. B. G. (2000) A nonparametric mixture model for cure rate estimation. Biometrics, 56, 237-243.
    • (2000) Biometrics , vol.56 , pp. 237-243
    • Peng, Y.1    Dear, K.B.G.2
  • 59
    • 0001425735 scopus 로고
    • Recovery of information and adjustment for dependent censoring using surrogate markers
    • (eds N. P. Jewell, K. Dietz and V. T. Farewell), Boston: Birkhäuser
    • Robins, J. M. and Rotnitzky, A. (1992) Recovery of information and adjustment for dependent censoring using surrogate markers. In AIDS Epidemiology: Methodological Issues (eds N. P. Jewell, K. Dietz and V. T. Farewell), pp. 297-331. Boston: Birkhäuser.
    • (1992) AIDS Epidemiology: Methodological Issues , pp. 297-331
    • Robins, J.M.1    Rotnitzky, A.2
  • 60
    • 84888862680 scopus 로고
    • Estimation of regression-coefficients when some regressors are not always observed
    • Robins, J. M., Rotnitzky, A. and Zhao, L. P. (1994) Estimation of regression-coefficients when some regressors are not always observed. J. Am. Statist. Ass., 89, 846-866.
    • (1994) J. Am. Statist. Ass. , vol.89 , pp. 846-866
    • Robins, J.M.1    Rotnitzky, A.2    Zhao, L.P.3
  • 61
    • 0000196975 scopus 로고
    • Information bounds for the conditional hazard ratio in a nested family of regression models
    • Sasieni, P. (1992) Information bounds for the conditional hazard ratio in a nested family of regression models. J. R. Statist. Soc. B, 54, 617-635.
    • (1992) J. R. Statist. Soc. B , vol.54 , pp. 617-635
    • Sasieni, P.1
  • 62
    • 84872636119 scopus 로고
    • An approximate distribution of estimates of variance components
    • Satterthwaites, F. E. (1946) An approximate distribution of estimates of variance components. Biometrics, 2, 110-114.
    • (1946) Biometrics , vol.2 , pp. 110-114
    • Satterthwaites, F.E.1
  • 63
    • 6944253954 scopus 로고    scopus 로고
    • Maximum likelihood estimation for Cox's regression model under nested case-control sampling
    • Scheike, T. H. and Juul, A. (2004) Maximum likelihood estimation for Cox's regression model under nested case-control sampling. Biostatistics, 5, 193-206.
    • (2004) Biostatistics , vol.5 , pp. 193-206
    • Scheike, T.H.1    Juul, A.2
  • 64
    • 2942525670 scopus 로고    scopus 로고
    • Maximum likelihood estimation for Cox's regression model under case-cohort sampling
    • Scheike, T. H. and Martinussen, T. (2004) Maximum likelihood estimation for Cox's regression model under case-cohort sampling. Scand. J. Statist., 31, 283-293.
    • (2004) Scand. J. Statist. , vol.31 , pp. 283-293
    • Scheike, T.H.1    Martinussen, T.2
  • 65
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz, G. (1978) Estimating the dimension of a model. Ann. Statist., 6, 461-464.
    • (1978) Ann. Statist. , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 66
    • 84907319426 scopus 로고
    • Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions
    • Self, S. G. and Liang, K. Y. (1987) Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions. J. Am. Statist. Ass., 82, 605-610.
    • (1987) J. Am. Statist. Ass. , vol.82 , pp. 605-610
    • Self, S.G.1    Liang, K.Y.2
  • 67
    • 0022128160 scopus 로고
    • A two-sample test sensitive to crossing hazards in uncensored and singly censored data
    • Stablein, D. M. and Koutrouvelis, I. A. (1985) A two-sample test sensitive to crossing hazards in uncensored and singly censored data. Biometrics, 41, 643-652.
    • (1985) Biometrics , vol.41 , pp. 643-652
    • Stablein, D.M.1    Koutrouvelis, I.A.2
  • 68
    • 0034021942 scopus 로고    scopus 로고
    • Estimation in a Cox proportional hazards cure model
    • Sy, J. P. and Taylor, J. M. (2000) Estimation in a Cox proportional hazards cure model. Biometrics, 56, 227-236.
    • (2000) Biometrics , vol.56 , pp. 227-236
    • Sy, J.P.1    Taylor, J.M.2
  • 69
    • 8644246036 scopus 로고    scopus 로고
    • Joint modeling of longitudinal and time-to-event data: An overview
    • Tsiatis, A. A. and Davidian, M. (2004) Joint modeling of longitudinal and time-to-event data: an overview. Statist. Sin., 14, 793-818.
    • (2004) Statist. Sin. , vol.14 , pp. 793-818
    • Tsiatis, A.A.1    Davidian, M.2
  • 70
    • 0043173908 scopus 로고    scopus 로고
    • Semiparametric models: A generalized self-consistency approach
    • Tsodikov, A. (2003) Semiparametric models: a generalized self-consistency approach. J. R. Statist. Soc. B, 65, 759-774.
    • (2003) J. R. Statist. Soc. B , vol.65 , pp. 759-774
    • Tsodikov, A.1
  • 72
    • 0442280665 scopus 로고    scopus 로고
    • Analyzing recurrent event data with informative censoring
    • Wang, M. C., Qin, J. and Chiang, C. (2001) Analyzing recurrent event data with informative censoring. J. Am. Statist. Ass., 96, 1057-1065.
    • (2001) J. Am. Statist. Ass. , vol.96 , pp. 1057-1065
    • Wang, M.C.1    Qin, J.2    Chiang, C.3
  • 73
    • 79953752268 scopus 로고
    • Regression analysis of multivariate incomplete failure time data by modeling marginal distributions
    • Wei, L. J., Lin, D. Y. and Weissfeld, L. (1989) Regression analysis of multivariate incomplete failure time data by modeling marginal distributions. J. Am. Statist. Ass., 84, 1065-1073.
    • (1989) J. Am. Statist. Ass. , vol.84 , pp. 1065-1073
    • Wei, L.J.1    Lin, D.Y.2    Weissfeld, L.3
  • 75
    • 0030893266 scopus 로고    scopus 로고
    • A joint model for survival and longitudinal data measured with error
    • Wulfsohn, M. S. and Tsiatis, A. A. (1997) A joint model for survival and longitudinal data measured with error. Biometrics, 53, 330-339.
    • (1997) Biometrics , vol.53 , pp. 330-339
    • Wulfsohn, M.S.1    Tsiatis, A.A.2
  • 76
    • 0035650134 scopus 로고    scopus 로고
    • Joint analysis of longitudinal data comprising repeated measures and times to events
    • Xu, J. and Zeger, S. L. (2001) Joint analysis of longitudinal data comprising repeated measures and times to events. Appl. Statist., 50, 375-387.
    • (2001) Appl. Statist. , vol.50 , pp. 375-387
    • Xu, J.1    Zeger, S.L.2
  • 78
    • 20444476802 scopus 로고    scopus 로고
    • Maximum likelihood estimation for the proportional odds model with random effects
    • Zeng, D., Lin, D. Y. and Yin, G. (2005) Maximum likelihood estimation for the proportional odds model with random effects. J. Am. Statist. Ass., 100, 470-483.
    • (2005) J. Am. Statist. Ass. , vol.100 , pp. 470-483
    • Zeng, D.1    Lin, D.Y.2    Yin, G.3
  • 79
    • 0002980230 scopus 로고
    • A model for non-parametric regression analysis of counting processes
    • Aalen, O. O. (1980) A model for non-parametric regression analysis of counting processes. Lect. Notes Statist., 2, 1-25.
    • (1980) Lect. Notes Statist. , vol.2 , pp. 1-25
    • Aalen, O.O.1
  • 80
    • 0023738069 scopus 로고
    • Heterogeneity in survival analysis
    • Aalen, O. O. (1988) Heterogeneity in survival analysis. Statist. Med., 7, 1121-1137.
    • (1988) Statist. Med. , vol.7 , pp. 1121-1137
    • Aalen, O.O.1
  • 81
    • 0001425487 scopus 로고
    • Modelling heterogeneity in survival analysis by the compound Poisson distribution
    • Aalen, O. O. (1992) Modelling heterogeneity in survival analysis by the compound Poisson distribution. Ann. Appl. Probab., 2, 951-972.
    • (1992) Ann. Appl. Probab. , vol.2 , pp. 951-972
    • Aalen, O.O.1
  • 82
    • 0028713238 scopus 로고
    • Effects of frailty in survival analysis
    • Aalen, O. O. (1994) Effects of frailty in survival analysis. Statist. Meth. Med. Res., 3, 227-243.
    • (1994) Statist. Meth. Med. Res. , vol.3 , pp. 227-243
    • Aalen, O.O.1
  • 83
    • 0038447790 scopus 로고    scopus 로고
    • Understanding the shape of the hazard rate: A process point of view
    • Aalen, O. O. and Gjessing, H. K. (2001) Understanding the shape of the hazard rate: a process point of view. Statist. Sci., 16, 1-22.
    • (2001) Statist. Sci. , vol.16 , pp. 1-22
    • Aalen, O.O.1    Gjessing, H.K.2
  • 85
    • 0031452175 scopus 로고    scopus 로고
    • Estimation of variance in Cox's regression model with shared gamma frailties
    • Andersen, P. K., Klein, J. P., Knudsen, K. and Palacios, R. T. (1997) Estimation of variance in Cox's regression model with shared gamma frailties. Biometrics, 53, 1475-1484.
    • (1997) Biometrics , vol.53 , pp. 1475-1484
    • Andersen, P.K.1    Klein, J.P.2    Knudsen, K.3    Palacios, R.T.4
  • 86
    • 0020975101 scopus 로고
    • An extension of the proportional hazards model for grouped data
    • Aranda-Ordaz, F. J. (1983) An extension of the proportional hazards model for grouped data. Biometrics, 39, 109-117.
    • (1983) Biometrics , vol.39 , pp. 109-117
    • Aranda-Ordaz, F.J.1
  • 87
    • 14544284791 scopus 로고    scopus 로고
    • Analysis of survival data with cross-effects of survival functions
    • Bagdonavicius, V., Hafdi, M. A. and Nikulin, M. (2004) Analysis of survival data with cross-effects of survival functions. Biostatistics, 5, 415-425.
    • (2004) Biostatistics , vol.5 , pp. 415-425
    • Bagdonavicius, V.1    Hafdi, M.A.2    Nikulin, M.3
  • 88
    • 0033251391 scopus 로고    scopus 로고
    • Generalized proportional hazards model based on modified partial likelihood
    • Bagdonavicius, V. B. and Nikulin, M. S. (1999) Generalized proportional hazards model based on modified partial likelihood. Liftime Data Anal., 5, 329-350.
    • (1999) Liftime Data Anal. , vol.5 , pp. 329-350
    • Bagdonavicius, V.B.1    Nikulin, M.S.2
  • 89
    • 17444363824 scopus 로고    scopus 로고
    • Small sample bias in the gamma frailty model for univariate survival
    • Barker, P. and Henderson, R. (2005) Small sample bias in the gamma frailty model for univariate survival. Liftime Data Anal., 11, 265-284.
    • (2005) Liftime Data Anal. , vol.11 , pp. 265-284
    • Barker, P.1    Henderson, R.2
  • 90
    • 0006325557 scopus 로고
    • One-step Huber estimates in the linear model
    • Bickel, P. J. (1975) One-step Huber estimates in the linear model. J. Am. Statist. Ass., 70, 428-434.
    • (1975) J. Am. Statist. Ass. , vol.70 , pp. 428-434
    • Bickel, P.J.1
  • 91
    • 84910378827 scopus 로고
    • An analysis of transformations revisited
    • Bickel, P. J. and Doksum, K. A. (1981) An analysis of transformations revisited. J. Am. Statist. Ass., 76, 296-311.
    • (1981) J. Am. Statist. Ass. , vol.76 , pp. 296-311
    • Bickel, P.J.1    Doksum, K.A.2
  • 92
    • 33847417861 scopus 로고    scopus 로고
    • Dynamic analysis of recurrent event data with missing observations, with application to infant diarrhoea in Brazil
    • Borgan, Ø., Fiaccone, R. L., Henderson, R. and Barreto, M. L. (2007) Dynamic analysis of recurrent event data with missing observations, with application to infant diarrhoea in Brazil. Scand. J. Statist., 34, 53-69.
    • (2007) Scand. J. Statist. , vol.34 , pp. 53-69
    • Borgan, Ø.1    Fiaccone, R.L.2    Henderson, R.3    Barreto, M.L.4
  • 93
    • 21344471371 scopus 로고
    • Methods for the analysis of sampled cohort data in the Cox proportional hazards model
    • Borgan, Ø., 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.
    • (1995) Ann. Statist. , vol.23 , pp. 1749-1778
    • Borgan, Ø.1    Goldstein, L.2    Langholz, B.3
  • 94
    • 33847343760 scopus 로고    scopus 로고
    • Weighted likelihood for semiparametric models and two-phase stratified samples, with application to Cox regression
    • Breslow, N. E. and Wellner, J. A. (2007) Weighted likelihood for semiparametric models and two-phase stratified samples, with application to Cox regression. Scand J. Statist., 34, 86-102.
    • (2007) Scand J. Statist. , vol.34 , pp. 86-102
    • Breslow, N.E.1    Wellner, J.A.2
  • 95
    • 6444234145 scopus 로고    scopus 로고
    • Covariate selection for semiparametric hazard function regression models
    • Bunea, F. and McKeague, I. W. (2005) Covariate selection for semiparametric hazard function regression models. J. Multiv. Anal, 92, 186-204.
    • (2005) J. Multiv. Anal , vol.92 , pp. 186-204
    • Bunea, F.1    McKeague, I.W.2
  • 96
    • 0031534541 scopus 로고    scopus 로고
    • On average derivative quantile regression
    • Chaudhuri, P., Doksum, K. and Samarov, A. (1997) On average derivative quantile regression. Ann. Statist., 25, 715-744.
    • (1997) Ann. Statist. , vol.25 , pp. 715-744
    • Chaudhuri, P.1    Doksum, K.2    Samarov, A.3
  • 97
    • 0036622692 scopus 로고    scopus 로고
    • Box-Cox transformations in linear models: Large sample theory and tests of normality (with discussion)
    • Chen, G., Lockhart, R. A. and Stephens, M. A. (2002a) Box-Cox transformations in linear models: large sample theory and tests of normality (with discussion). Can. J. Statist., 30, 177-234.
    • (2002) Can. J. Statist. , vol.30 , pp. 177-234
    • Chen, G.1    Lockhart, R.A.2    Stephens, M.A.3
  • 98
    • 16344368222 scopus 로고    scopus 로고
    • Semiparametric analysis of transformation models with censored data
    • Chen, K., Jin, Z. and Ying, Z. (2002b) Semiparametric analysis of transformation models with censored data. Biometrika, 89, 659-668.
    • (2002) Biometrika , vol.89 , pp. 659-668
    • Chen, K.1    Jin, Z.2    Ying, Z.3
  • 101
    • 33645064524 scopus 로고    scopus 로고
    • Joint modelling of event counts and survival times
    • Cowling, B. J., Hutton, J. L. and Shaw, J. E. H. (2006) Joint modelling of event counts and survival times. Appl. Statist., 55, 31-39.
    • (2006) Appl. Statist. , vol.55 , pp. 31-39
    • Cowling, B.J.1    Hutton, J.L.2    Shaw, J.E.H.3
  • 102
    • 34249781993 scopus 로고    scopus 로고
    • New statistical method for analysing time to first seizure: Example using data comparing carbamazepine and valproate monotherapy
    • Cowling, B. J., Shaw, J. E. H., Hutton, J. L. and Marson, A. G. (2007) New statistical method for analysing time to first seizure: example using data comparing carbamazepine and valproate monotherapy. Epilepsia, 48, 1173-1178.
    • (2007) Epilepsia , vol.48 , pp. 1173-1178
    • Cowling, B.J.1    Shaw, J.E.H.2    Hutton, J.L.3    Marson, A.G.4
  • 103
    • 0000336139 scopus 로고
    • Regression models and life-tables (with discussion)
    • Cox, D. R. (1972) Regression models and life-tables (with discussion). J. R. Statist. B, 34, 187-220.
    • (1972) J. R. Statist. B , vol.34 , pp. 187-220
    • Cox, D.R.1
  • 104
    • 0002738159 scopus 로고
    • Parameter orthogonality and approximate conditional inference (with discussion)
    • Cox, D. R. and Reid, N. (1987) Parameter orthogonality and approximate conditional inference (with discussion). J. R. Statist. Soc. B, 49, 1-39.
    • (1987) J. R. Statist. Soc. B , vol.49 , pp. 1-39
    • Cox, D.R.1    Reid, N.2
  • 105
    • 0031005036 scopus 로고    scopus 로고
    • Adjusting for non-compliance and contamination in randomised clinical trials
    • Cuzick, J., Edwards, R. and Segnan, N. (1997) Adjusting for non-compliance and contamination in randomised clinical trials. Statist. Med., 16, 1017-1029.
    • (1997) Statist. Med. , vol.16 , pp. 1017-1029
    • Cuzick, J.1    Edwards, R.2    Segnan, N.3
  • 106
    • 34547828075 scopus 로고    scopus 로고
    • Estimating the effect of treatment in a proportional hazards model in the presence of non-compliance and contamination
    • Cuzick, J., Sasieni, P., Myles, J. and Tyrer, J. (2007) Estimating the effect of treatment in a proportional hazards model in the presence of non-compliance and contamination. J. R. Statist. Soc. B, 69, 565-588.
    • (2007) J. R. Statist. Soc. B , vol.69 , pp. 565-588
    • Cuzick, J.1    Sasieni, P.2    Myles, J.3    Tyrer, J.4
  • 108
    • 26244435600 scopus 로고    scopus 로고
    • Functional inference in semi-parametric models using the piggyback bootstrap
    • Dixon, J. R., Kosorok, M. R. and Lee, B. L. (2005) Functional inference in semi-parametric models using the piggyback bootstrap. Ann. Inst. Statist. Math., 57, 255-277.
    • (2005) Ann. Inst. Statist. Math. , vol.57 , pp. 255-277
    • Dixon, J.R.1    Kosorok, M.R.2    Lee, B.L.3
  • 109
    • 0038379780 scopus 로고    scopus 로고
    • Evolution of recurrent asthma event rate over time in frailty models
    • Duchateau, L., Janssen, P., Kezic, I. and Fortpied, C. (2003) Evolution of recurrent asthma event rate over time in frailty models. Appl. Statist., 52, 355-363.
    • (2003) Appl. Statist. , vol.52 , pp. 355-363
    • Duchateau, L.1    Janssen, P.2    Kezic, I.3    Fortpied, C.4
  • 110
    • 84959806518 scopus 로고
    • True and spurious duration dependence: The identifiability of the proportional hazard model
    • Elbers, C. and Ridder, G. (1982) True and spurious duration dependence: the identifiability of the proportional hazard model. Rev. Econ. Stud., 49, 403-409.
    • (1982) Rev. Econ. Stud. , vol.49 , pp. 403-409
    • Elbers, C.1    Ridder, G.2
  • 112
    • 33750168238 scopus 로고    scopus 로고
    • Semiparametric analysis of case series data (with discussion)
    • Farrington, C. P. and Whitaker, H. J. (2006) Semiparametric analysis of case series data (with discussion). Appl. Statist., 55, 553-594.
    • (2006) Appl. Statist. , vol.55 , pp. 553-594
    • Farrington, C.P.1    Whitaker, H.J.2
  • 114
    • 84972494006 scopus 로고
    • Evaluating therapeutic interventions: Some issues and experiences (with discussion)
    • Fleming, T. R. (1992) Evaluating therapeutic interventions: some issues and experiences (with discussion). Statist. Sci., 7, 428-456.
    • (1992) Statist. Sci. , vol.7 , pp. 428-456
    • Fleming, T.R.1
  • 115
    • 33745663099 scopus 로고    scopus 로고
    • Dynamic analysis of recurrent event data using the additive hazard model
    • Fosen, J., Borgan, Ø., Weedon-Fekjaer, H. and Aalen, O. O. (2006) Dynamic analysis of recurrent event data using the additive hazard model. Biometr. J., 48, 381-398.
    • (2006) Biometr. J. , vol.48 , pp. 381-398
    • Fosen, J.1    Borgan, Ø.2    Weedon-Fekjaer, H.3    Aalen, O.O.4
  • 116
    • 33750156340 scopus 로고    scopus 로고
    • Dynamic treatment assignment - The consequences for evaluations using observational data
    • Institute for the Study of Labor, Bonn.
    • Fredriksson, P. and Johansson, P. (2004) Dynamic treatment assignment - the consequences for evaluations using observational data. Discussion Paper 1062. Institute for the Study of Labor, Bonn.
    • (2004) Discussion Paper 1062
    • Fredriksson, P.1    Johansson, P.2
  • 117
    • 34547846520 scopus 로고    scopus 로고
    • Comparison of nonparametric estimators of conditional distribution function and quantile regression under censoring for survival analysis
    • to be published
    • Gannoun, A., Saracoo, J. and Yu, K. (2007) Comparison of nonparametric estimators of conditional distribution function and quantile regression under censoring for survival analysis. Statist. Modllng, to be published.
    • (2007) Statist. Modllng
    • Gannoun, A.1    Saracoo, J.2    Yu, K.3
  • 118
    • 70449647008 scopus 로고
    • Proportional hazards tests and diagnostics based on weighted residuals
    • Grambsch, P. M. and Therneau, T. M. (1994) Proportional hazards tests and diagnostics based on weighted residuals. Biometrika, 81, 515-526.
    • (1994) Biometrika , vol.81 , pp. 515-526
    • Grambsch, P.M.1    Therneau, T.M.2
  • 119
    • 24144487444 scopus 로고    scopus 로고
    • Comparison of hierarchical likelihood versus orthodox best linear unbiased predictor approaches for frailty models
    • Ha, I. D. and Lee, Y. (2005) Comparison of hierarchical likelihood versus orthodox best linear unbiased predictor approaches for frailty models. Biometrika, 92, 717-723.
    • (2005) Biometrika , vol.92 , pp. 717-723
    • Ha, I.D.1    Lee, Y.2
  • 121
    • 0012232570 scopus 로고    scopus 로고
    • Hierarchical likelihood approach for frailty models
    • Ha, I. D., Lee, Y. and Song, J.-K. (2001) Hierarchical likelihood approach for frailty models. Biometrika, 88, 233-243.
    • (2001) Biometrika , vol.88 , pp. 233-243
    • Ha, I.D.1    Lee, Y.2    Song, J.-K.3
  • 122
    • 0001780119 scopus 로고    scopus 로고
    • Marginalized multilevel models and likelihood inference
    • Heagerty, P. J. and Zeger, S. L. (2000) Marginalized multilevel models and likelihood inference. Statist. Sci., 15, 1-26.
    • (2000) Statist. Sci. , vol.15 , pp. 1-26
    • Heagerty, P.J.1    Zeger, S.L.2
  • 123
    • 0000159540 scopus 로고
    • A method for minimizing the impact of distributional assumptions in econometric models for duration data
    • Heckman, J. J. and Singer, B. (1984a) A method for minimizing the impact of distributional assumptions in econometric models for duration data. Econometrica, 52, 271-320.
    • (1984) Econometrica , vol.52 , pp. 271-320
    • Heckman, J.J.1    Singer, B.2
  • 124
    • 84959838413 scopus 로고
    • The identifiability of the proportional hazard model
    • Heckman, J. J. and Singer, B. (1984b) The identifiability of the proportional hazard model. Rev. Econ. Stud., 51, 231-243.
    • (1984) Rev. Econ. Stud. , vol.51 , pp. 231-243
    • Heckman, J.J.1    Singer, B.2
  • 125
    • 0028650772 scopus 로고
    • A random-effects ordinal regression model for multilevel analysis
    • Hedekar, D. and Gibbons, R. (1994) A random-effects ordinal regression model for multilevel analysis. Biometrics, 50, 933-944.
    • (1994) Biometrics , vol.50 , pp. 933-944
    • Hedekar, D.1    Gibbons, R.2
  • 126
    • 0000811499 scopus 로고
    • The analysis of transformed data (with discussion)
    • Hinkley, D. V. and Runger, G. (1984) The analysis of transformed data (with discussion). J. Am. Statist. Ass., 79, 302-320.
    • (1984) J. Am. Statist. Ass. , vol.79 , pp. 302-320
    • Hinkley, D.V.1    Runger, G.2
  • 127
    • 0007844103 scopus 로고
    • Simple estimation of a duration model with unobserved heterogeneity
    • Honoré, B. (1990) Simple estimation of a duration model with unobserved heterogeneity. Econometrica, 58, 453-473.
    • (1990) Econometrica , vol.58 , pp. 453-473
    • Honoré, B.1
  • 129
    • 0000414676 scopus 로고    scopus 로고
    • Semiparametric estimation of a proportional hazard model with unobserved heterogeneity
    • Horowitz, J. L. (1999) Semiparametric estimation of a proportional hazard model with unobserved heterogeneity. Econometrica, 67, 1001-1028.
    • (1999) Econometrica , vol.67 , pp. 1001-1028
    • Horowitz, J.L.1
  • 130
    • 1142263898 scopus 로고    scopus 로고
    • Semiparametric estimation of a panel data proportional hazards model with fixed effects
    • Horowitz, J. L. and Lee, S. (2004) Semiparametric estimation of a panel data proportional hazards model with fixed effects. J. Econometr., 119, 155-198.
    • (2004) J. Econometr. , vol.119 , pp. 155-198
    • Horowitz, J.L.1    Lee, S.2
  • 132
    • 0035648841 scopus 로고    scopus 로고
    • On heteroscedastic hazards regression models: Theory and application
    • Hsieh, F. (2001) On heteroscedastic hazards regression models: theory and application. J. R. Statist. Soc. B, 63, 63-79.
    • (2001) J. R. Statist. Soc. B , vol.63 , pp. 63-79
    • Hsieh, F.1
  • 133
    • 0036884264 scopus 로고    scopus 로고
    • Choice of accelerated life and proportional hazards models for survival data: Asymptotic results
    • Hutton, J. L. and Monaghan, P. F. (2002) Choice of accelerated life and proportional hazards models for survival data: asymptotic results. Liftime Data Anal., 8, 375-393.
    • (2002) Liftime Data Anal. , vol.8 , pp. 375-393
    • Hutton, J.L.1    Monaghan, P.F.2
  • 134
    • 0036161556 scopus 로고    scopus 로고
    • Effects of cognitive, sensory and motor impairment on the survival of people with cerebral palsy
    • Hutton, J. L. and Pharoah, P. O. D. (2002) Effects of cognitive, sensory and motor impairment on the survival of people with cerebral palsy. Arch. Dis. Chldhd, 86, 84-89.
    • (2002) Arch. Dis. Chldhd , vol.86 , pp. 84-89
    • Hutton, J.L.1    Pharoah, P.O.D.2
  • 136
    • 4043100360 scopus 로고    scopus 로고
    • Selection effects and nonproportional hazards in survival models and models for repeated events
    • Cape Town: International Biometric Society
    • Keiding, N. (1998) Selection effects and nonproportional hazards in survival models and models for repeated events. In Proc. 19th Int. Biometric Conf., pp. 241-250. Cape Town: International Biometric Society.
    • (1998) Proc. 19th Int. Biometric Conf. , pp. 241-250
    • Keiding, N.1
  • 137
    • 1542784241 scopus 로고    scopus 로고
    • Reappraising medfly longevity: A quantile regression survival analysis
    • Koenker, R. and Geling, O. (2001) Reappraising medfly longevity: a quantile regression survival analysis. J. Am. Statist. Ass., 96, 458-468.
    • (2001) J. Am. Statist. Ass. , vol.96 , pp. 458-468
    • Koenker, R.1    Geling, O.2
  • 138
    • 10344265691 scopus 로고    scopus 로고
    • Robust inference for proportional hazards univariate frailty regression models
    • Kosorok, M. R., Lee, B. L. and Fine, J. P. (2004) Robust inference for proportional hazards univariate frailty regression models. Ann. Statist., 32, 1448-1491.
    • (2004) Ann. Statist. , vol.32 , pp. 1448-1491
    • Kosorok, M.R.1    Lee, B.L.2    Fine, J.P.3
  • 139
    • 33847386181 scopus 로고    scopus 로고
    • Use of cohort information in the design and analysis of case-control studies
    • Langholz, B. (2007) Use of cohort information in the design and analysis of case-control studies. Scand. J. Statist., 34, 120-136.
    • (2007) Scand. J. Statist. , vol.34 , pp. 120-136
    • Langholz, B.1
  • 141
    • 0000312997 scopus 로고    scopus 로고
    • Hierarchical generalized linear models (with discussion)
    • Lee, Y. and Nelder, J. A. (1996) Hierarchical generalized linear models (with discussion). J. R. Statist. Soc. B, 58, 619-678.
    • (1996) J. R. Statist. Soc. B , vol.58 , pp. 619-678
    • Lee, Y.1    Nelder, J.A.2
  • 142
    • 0012342630 scopus 로고    scopus 로고
    • Hierarchical generalised linear models: A synthesis of generalised linear models, random-effect models and structured dispersions
    • Lee, Y. and Neider, J. A. (2001) Hierarchical generalised linear models: a synthesis of generalised linear models, random-effect models and structured dispersions. Biometrika, 88, 987-1006.
    • (2001) Biometrika , vol.88 , pp. 987-1006
    • Lee, Y.1    Neider, J.A.2
  • 144
    • 33745675996 scopus 로고    scopus 로고
    • Semiparametric normal transformation models for spatially correlated survival data
    • Li, Y. and Lin, X. (2006) Semiparametric normal transformation models for spatially correlated survival data. J. Am. Statist. Ass., 101, 591-603.
    • (2006) J. Am. Statist. Ass. , vol.101 , pp. 591-603
    • Li, Y.1    Lin, X.2
  • 145
    • 33846044326 scopus 로고    scopus 로고
    • Model selection and efficiency: Is'Which model...?' the right question?
    • Longford, N. T. (2005) Model selection and efficiency: is'Which model...?' the right question? J. R. Statist. Soc. A, 168, 469-472.
    • (2005) J. R. Statist. Soc. A , vol.168 , pp. 469-472
    • Longford, N.T.1
  • 147
    • 30344452322 scopus 로고    scopus 로고
    • Penalized log-likelihood estimation for partly linear transformation models with current status data
    • Ma, S. and Kosorok, M. R. (2005) Penalized log-likelihood estimation for partly linear transformation models with current status data. Ann. Statist., 33, 2256-2290.
    • (2005) Ann. Statist. , vol.33 , pp. 2256-2290
    • Ma, S.1    Kosorok, M.R.2
  • 149
    • 34547831402 scopus 로고    scopus 로고
    • Aalen additive hazards change-point model
    • to be published
    • Martinussen, T. and Scheike, T. H. (2007) Aalen additive hazards change-point model. Biometrika, to be published.
    • (2007) Biometrika
    • Martinussen, T.1    Scheike, T.H.2
  • 150
    • 0042788746 scopus 로고    scopus 로고
    • What is a statistical model?
    • McCullagh, P. (2002) What is a statistical model? Ann. Statist., 30, 1225-1310.
    • (2002) Ann Statist , vol.30 , pp. 1225-1310
    • McCullagh, P.1
  • 151
    • 0001109223 scopus 로고
    • A partly parametric additive risk model
    • McKeague, I. W. and Sasieni, P. D. (1994) A partly parametric additive risk model. Biometrika, 81, 501-514.
    • (1994) Biometrika , vol.81 , pp. 501-514
    • McKeague, I.W.1    Sasieni, P.D.2
  • 152
    • 1142263236 scopus 로고    scopus 로고
    • Analysis of testicular cancer data by means of a frailty model with familial dependence
    • Moger, T. A., Aalen, O. O., Heimdal, K. and Gjessing, H. K. (2004) Analysis of testicular cancer data by means of a frailty model with familial dependence. Statist. Med., 23, 617-632.
    • (2004) Statist. Med. , vol.23 , pp. 617-632
    • Moger, T.A.1    Aalen, O.O.2    Heimdal, K.3    Gjessing, H.K.4
  • 153
    • 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
  • 154
    • 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
  • 156
    • 0002133303 scopus 로고
    • A counting process approach to maximum likelihood estimation in frailty models
    • Nielsen, G. G., Gill, R. D., Andersen, P. K. and Sørensen, T. I. A. (1992) A counting process approach to maximum likelihood estimation in frailty models. Scand. J. Statist., 19, 25-44.
    • (1992) Scand. J. Statist. , vol.19 , pp. 25-44
    • Nielsen, G.G.1    Gill, R.D.2    Andersen, P.K.3    Sørensen, T.I.A.4
  • 157
    • 33644614633 scopus 로고    scopus 로고
    • Dispersion frailty models and HGLMs
    • Noh, M., Ha, I. D. and Lee, Y. (2006) Dispersion frailty models and HGLMs. Statist. Med., 25, 1341-1354.
    • (2006) Statist. Med. , vol.25 , pp. 1341-1354
    • Noh, M.1    Ha, I.D.2    Lee, Y.3
  • 158
    • 23444432123 scopus 로고
    • Bivariate survival models induced by frailties
    • Oakes, D. (1989) Bivariate survival models induced by frailties. J. Am. Statist. Ass., 84, 487-493.
    • (1989) J. Am. Statist. Ass. , vol.84 , pp. 487-493
    • Oakes, D.1
  • 159
    • 0001047094 scopus 로고
    • Fast computation of fully automated log-density and log-hazard estimators
    • O'Sullivan, F. (1988) Fast computation of fully automated log-density and log-hazard estimators., SIAM J. Sci. Statist. Comput., 9, 363-379.
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , pp. 363-379
    • O'Sullivan, F.1
  • 160
    • 0037783281 scopus 로고    scopus 로고
    • Darkness induces mobility, and saturation deficit limits questing duration, in the tick Ixodes ricinus
    • Perret, J.-L., Guerin, P. M., Diehl, P. A., Vlimant, M. and Gern, L. (2003) Darkness induces mobility, and saturation deficit limits questing duration, in the tick Ixodes ricinus. J. Exptl Biol., 206, 1809-1815.
    • (2003) J. Exptl Biol. , vol.206 , pp. 1809-1815
    • Perret, J.-L.1    Guerin, P.M.2    Diehl, P.A.3    Vlimant, M.4    Gern, L.5
  • 161
    • 0003158974 scopus 로고
    • Cox's periodic regression model
    • Pons, O. and de Turckheim, E. (1988) Cox's periodic regression model. Ann. Statist., 16, 678-693.
    • (1988) Ann. Statist. , vol.16 , pp. 678-693
    • Pons, O.1    De Turckheim, E.2
  • 162
    • 1142277399 scopus 로고    scopus 로고
    • Censored regression quantiles
    • Portnoy, S. (2003) Censored regression quantiles. J. Am. Statist. Ass., 98, 1001-1012.
    • (2003) J. Am. Statist. Ass. , vol.98 , pp. 1001-1012
    • Portnoy, S.1
  • 164
    • 0029837928 scopus 로고    scopus 로고
    • A regression survival model for testing the proportional hazards hypothesis
    • Quantin, C., Moreau, T., Asselain, B., Maccario, J. and Lellouch, J. (1996) A regression survival model for testing the proportional hazards hypothesis. Biometrics, 52, 874-885.
    • (1996) Biometrics , vol.52 , pp. 874-885
    • Quantin, C.1    Moreau, T.2    Asselain, B.3    Maccario, J.4    Lellouch, J.5
  • 165
    • 84960581059 scopus 로고
    • The non-parametric identification of generalized accelerated failure time models
    • Ridder, G. (1990) The non-parametric identification of generalized accelerated failure time models. Rev. Econ. Stud., 57, 167-182.
    • (1990) Rev. Econ. Stud. , vol.57 , pp. 167-182
    • Ridder, G.1
  • 166
    • 0142007869 scopus 로고    scopus 로고
    • The singularity of the information matrix of the mixed proportional hazard model
    • Ridder, G. and Woutersen, T. M. (2003) The singularity of the information matrix of the mixed proportional hazard model. Econometrica, 71, 1579-1589.
    • (2003) Econometrica , vol.71 , pp. 1579-1589
    • Ridder, G.1    Woutersen, T.M.2
  • 167
    • 0033847784 scopus 로고    scopus 로고
    • Marginal structural models and causal inference in epidemiology
    • Robins, J. M., Hernán, M. A. and Brumback, B. (2000) Marginal structural models and causal inference in epidemiology. Epidemiology, 11, 550-560.
    • (2000) Epidemiology , vol.11 , pp. 550-560
    • Robins, J.M.1    Hernán, M.A.2    Brumback, B.3
  • 168
    • 0038316696 scopus 로고    scopus 로고
    • Maximum penalized likelihood estimation in a gamma frailty model
    • Rondeau, V., Commenges, D. and Joly, P. (2003) Maximum penalized likelihood estimation in a gamma frailty model. Liftime Data Anal, 9, 139-153.
    • (2003) Liftime Data Anal , vol.9 , pp. 139-153
    • Rondeau, V.1    Commenges, D.2    Joly, P.3
  • 169
    • 33847401792 scopus 로고    scopus 로고
    • Stratified case-cohort analysis of general cohort sampling designs
    • Samuelsen, S. O., Ånestad, H. and Skrondal, A. (2007) Stratified case-cohort analysis of general cohort sampling designs. Scand J. Statist., 34, 103-119.
    • (2007) Scand J. Statist. , vol.34 , pp. 103-119
    • Samuelsen, S.O.1    Ånestad, H.2    Skrondal, A.3
  • 170
    • 3843060004 scopus 로고    scopus 로고
    • Martingale difference residuals as a diagnostic tool for the Cox model
    • Sasieni, P. D. and Winnett, A. (2003) Martingale difference residuals as a diagnostic tool for the Cox model. Biometrika, 90, 899-912.
    • (2003) Biometrika , vol.90 , pp. 899-912
    • Sasieni, P.D.1    Winnett, A.2
  • 171
    • 0032245819 scopus 로고    scopus 로고
    • Semiparametric efficient estimation in the generalized odds-rate class of regression models for right-censored time-to-event data
    • Scharfstein, D. O., Tsiatis, A. A. and Gilbert, P. B. (1998) Semiparametric efficient estimation in the generalized odds-rate class of regression models for right-censored time-to-event data. Liftime Data Anal, 4, 355-391.
    • (1998) Liftime Data Anal , vol.4 , pp. 355-391
    • Scharfstein, D.O.1    Tsiatis, A.A.2    Gilbert, P.B.3
  • 172
    • 33845806063 scopus 로고    scopus 로고
    • A flexible semiparametric transformation model for survival data
    • Scheike, T. H. (2006) A flexible semiparametric transformation model for survival data. Liftime Data Anal., 12, 461-480.
    • (2006) Liftime Data Anal. , vol.12 , pp. 461-480
    • Scheike, T.H.1
  • 173
    • 6944253954 scopus 로고    scopus 로고
    • Maximum likelihood estimation for Cox's regression model under nested case-control sampling
    • Scheike, T. H. and Juul, A. (2004) Maximum likelihood estimation for Cox's regression model under nested case-control sampling. Biostatistics, 5, 193-206.
    • (2004) Biostatistics , vol.5 , pp. 193-206
    • Scheike, T.H.1    Juul, A.2
  • 174
    • 1542267819 scopus 로고    scopus 로고
    • Consistency of the NPML estimator in the right-censored transformation model
    • Slud, E. V. and Vonta, F. (2004) Consistency of the NPML estimator in the right-censored transformation model. Scand. J. Statist., 31, 21-41.
    • (2004) Scand. J. Statist. , vol.31 , pp. 21-41
    • Slud, E.V.1    Vonta, F.2
  • 175
    • 0000189167 scopus 로고
    • Effect of misspecification of regression models in the analysis of survival data
    • Solomon, P. J. (1984) Effect of misspecification of regression models in the analysis of survival data. Biometrika, 71, 291-298.
    • (1984) Biometrika , vol.71 , pp. 291-298
    • Solomon, P.J.1
  • 176
    • 0000619374 scopus 로고
    • Mispecified proportional hazards models
    • Struthers, C. A. and Kalbfleisch, J. D. (1986) Mispecified proportional hazards models. Biometrika, 73, 363-369.
    • (1986) Biometrika , vol.73 , pp. 363-369
    • Struthers, C.A.1    Kalbfleisch, J.D.2
  • 179
    • 34250692925 scopus 로고    scopus 로고
    • Model evaluation based on the sampling distribution of estimated absolute prediction error
    • to be published
    • Tian, L., Cai, T., Goetghebeur, E. and Wei, L. X. (2007) Model evaluation based on the sampling distribution of estimated absolute prediction error. Biometrika, to be published.
    • (2007) Biometrika
    • Tian, L.1    Cai, T.2    Goetghebeur, E.3    Wei, L.X.4
  • 180
    • 8644246036 scopus 로고    scopus 로고
    • Joint modeling of longitudinal and time-to-event data: An overview
    • Tsiatis, A. A. and Davidian, M. (2004) Joint modeling of longitudinal and time-to-event data: an overview. Statist. Sin., 14, 793-818.
    • (2004) Statist. Sin. , vol.14 , pp. 793-818
    • Tsiatis, A.A.1    Davidian, M.2
  • 181
    • 0043173908 scopus 로고    scopus 로고
    • Semiparametric models: A generalized self-consistency approach
    • Tsodikov, A. (2003) Semiparametric models: a generalized self-consistency approach. J. R. Statist. Soc. B, 65, 759-774.
    • (2003) J. R. Statist. Soc. B , vol.65 , pp. 759-774
    • Tsodikov, A.1
  • 182
    • 34250736743 scopus 로고    scopus 로고
    • Evaluating prediction rules for i-year survivors with censored regression model
    • to be published
    • Uno, H., Cai, T., Tian, L. and Wei, L. J. (2007) Evaluating prediction rules for i-year survivors with censored regression model. J. Am. Statist. Ass., to be published.
    • (2007) J. Am. Statist. Ass.
    • Uno, H.1    Cai, T.2    Tian, L.3    Wei, L.J.4
  • 183
    • 0024205301 scopus 로고    scopus 로고
    • Models for longitudinal data: A generalized estimating equation approach
    • Zeger, S. L., Liang, K. Y. and Albert, P. S. (1998) Models for longitudinal data: a generalized estimating equation approach. Biometrics, 44, 1049-1060.
    • (1998) Biometrics , vol.44 , pp. 1049-1060
    • Zeger, S.L.1    Liang, K.Y.2    Albert, P.S.3
  • 184
    • 33947284085 scopus 로고    scopus 로고
    • Semiparametric transformation models with random effects for recurrent events
    • Zeng, D. and Lin, D. Y. (2007) Semiparametric transformation models with random effects for recurrent events. J. Am Statist. Ass., 102, 167-180.
    • (2007) J. Am Statist. Ass. , vol.102 , pp. 167-180
    • Zeng, D.1    Lin, D.Y.2
  • 185
    • 33745465288 scopus 로고    scopus 로고
    • Efficient semiparametric estimation of haplotype-disease associations in case-cohort and nested case-control studies
    • Zeng, D., Lin, D. Y., Avery, C. L., North, K. E. and Bray, M. S. (2006) Efficient semiparametric estimation of haplotype-disease associations in case-cohort and nested case-control studies. Biostatistics, 7, 486-502.
    • (2006) Biostatistics , vol.7 , pp. 486-502
    • Zeng, D.1    Lin, D.Y.2    Avery, C.L.3    North, K.E.4    Bray, M.S.5


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