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Volumn 74, Issue 1, 2004, Pages 1-13

A universal procedure for parametric frailty models

Author keywords

Censored survival data; Frailty models; General parameter families; Markov chain Monte Carlo methods; Stochastic approximation

Indexed keywords


EID: 0742306097     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/0094965031000097304     Document Type: Article
Times cited : (6)

References (41)
  • 1
    • 0032400352 scopus 로고    scopus 로고
    • Bayesian analysis of multivariate survival data using Monte Carlo methods
    • Aslanidou, H., Dey, D. K. and Sinha, D. (1998). Bayesian analysis of multivariate survival data using Monte Carlo methods. Can. J. Statist., 26, 33-48.
    • (1998) Can. J. Statist. , vol.26 , pp. 33-48
    • Aslanidou, H.1    Dey, D.K.2    Sinha, D.3
  • 3
    • 84910448906 scopus 로고
    • Estimation of the inverse Gaussian distribution function
    • Chhikara, R. S. and Folks, J. L. (1974). Estimation of the inverse Gaussian distribution function. J. Amer. Statist. Assoc., 69, 250-254.
    • (1974) J. Amer. Statist. Assoc. , vol.69 , pp. 250-254
    • Chhikara, R.S.1    Folks, J.L.2
  • 4
    • 0025813195 scopus 로고
    • A Monte Carlo method for Bayesian inference in frailty models
    • Clayton, D. G. (1991). A Monte Carlo method for Bayesian inference in frailty models. Biometrics, 47, 467-485.
    • (1991) Biometrics , vol.47 , pp. 467-485
    • Clayton, D.G.1
  • 5
    • 0002537776 scopus 로고
    • Multivariate generalizations of the proportional hazards model
    • Clayton, D. G. 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.G.1    Cuzick, J.2
  • 6
    • 0033243858 scopus 로고    scopus 로고
    • Convergence of a stochastic approximation version of the EM algorithm
    • Delyon, B., Lavielle, E. and Moulines, E. (1999). Convergence of a stochastic approximation version of the EM algorithm. Ann. Statist., 27, 94-128.
    • (1999) Ann. Statist. , vol.27 , pp. 94-128
    • Delyon, B.1    Lavielle, E.2    Moulines, E.3
  • 8
    • 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. Review of Economic Studies, 49, 403-409.
    • (1982) Review of Economic Studies , vol.49 , pp. 403-409
    • Elbers, C.1    Ridder, G.2
  • 9
    • 84950453304 scopus 로고
    • Sampling based approaches to calculating marginal densities
    • Gelfand, A. E. and Smith, A. F. M. (1990). Sampling based approaches to calculating marginal densities. J. Amer. Statist. Assoc., 85, 398-409.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 398-409
    • Gelfand, A.E.1    Smith, A.F.M.2
  • 10
    • 0001575045 scopus 로고
    • Marginal partial likelihood
    • Gill, R. D. (1992). Marginal partial likelihood. Scand. J. Statist., 19, 133-137.
    • (1992) Scand. J. Statist. , vol.19 , pp. 133-137
    • Gill, R.D.1
  • 11
    • 13144294075 scopus 로고    scopus 로고
    • A stochastic approximation algorithm with Markov chain Monte Carlo method for incomplete data estimation problems
    • Gu, M. G. and Kong, F. H. (1998). A stochastic approximation algorithm with Markov chain Monte Carlo method for incomplete data estimation problems. Proc. Natl. Acad. Sci. USA, 95, 7270-7274.
    • (1998) Proc. Natl. Acad. Sci. USA , vol.95 , pp. 7270-7274
    • Gu, M.G.1    Kong, F.H.2
  • 12
    • 0035532138 scopus 로고    scopus 로고
    • Maximum likelihood estimation for spatial models by Markov chain Carlo stochastic approximation
    • Gu, M. G. and Zhu, H. T. (2001). Maximum likelihood estimation for spatial models by Markov chain Carlo stochastic approximation. J. R. Statist. Soc. B, 63, 339-355.
    • (2001) J. R. Statist. Soc. B , vol.63 , pp. 339-355
    • Gu, M.G.1    Zhu, H.T.2
  • 13
    • 21144470744 scopus 로고
    • Estimating a multivariate proportional hazard model for clustered data using the EM algorithm
    • Guo, G. and Rodriguez, G. (1992). Estimating a multivariate proportional hazard model for clustered data using the EM algorithm. J. Amer. Statist. Assoc., 87, 969-976.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 969-976
    • Guo, G.1    Rodriguez, G.2
  • 14
    • 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
  • 15
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov Chains and their applications
    • Hastings, W. K. (1970). Monte Carlo sampling methods using Markov Chains and their applications. Biometrika, 53, 97-109.
    • (1970) Biometrika , vol.53 , pp. 97-109
    • Hastings, W.K.1
  • 16
    • 77956889117 scopus 로고
    • A class of multivariate failure time distributions
    • Hougaard, P. (1986a). A class of multivariate failure time distributions. Biometrika, 73, 671-678.
    • (1986) Biometrika , vol.73 , pp. 671-678
    • Hougaard, P.1
  • 17
    • 0001586998 scopus 로고
    • Survival models for heterogeneous populations derived from stable distributions
    • Hougaard, P. (1986b). Survival models for heterogeneous populations derived from stable distributions. Biometrika, 73, 387-396.
    • (1986) Biometrika , vol.73 , pp. 387-396
    • Hougaard, P.1
  • 18
    • 84950965651 scopus 로고
    • Measuring the similarities between the lifetimes of adult Danish twins born 1881-1930
    • Hougaard, P., Harvald, B. and Holm, N. V. (1992). Measuring the similarities between the lifetimes of adult Danish twins born 1881-1930. J. Amer. Statist. Assoc., 87, 17-24.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 17-24
    • Hougaard, P.1    Harvald, B.2    Holm, N.V.3
  • 19
  • 20
    • 0006642241 scopus 로고
    • An extension of Cox's regression model
    • Johansen, S. (1983). An extension of Cox's regression model. Int. Stat. Rev., 51, 258-262.
    • (1983) Int. Stat. Rev. , vol.51 , pp. 258-262
    • Johansen, S.1
  • 21
    • 0026781058 scopus 로고
    • Semiparametric estimation of random effects using the Cox's model based on the EM algorithm
    • Klein, J. P. (1992). Semiparametric estimation of random effects using the Cox's model based on the EM algorithm. Biometrics, 48, 795-806.
    • (1992) Biometrics , vol.48 , pp. 795-806
    • Klein, J.P.1
  • 22
    • 0006016418 scopus 로고
    • Estimating random effects in the Framingham heart study
    • Klein, J. and Goel, P. (Eds.). Kluwer, Dordrecht
    • Klein, J. P., Moeschberger, M. L., Li, Y. H. and Wang, S. T. (1992). Estimating random effects in the Framingham heart study. In Klein, J. and Goel, P. (Eds.), Survival Analysis: State of the Art. Kluwer, Dordrecht.
    • (1992) Survival Analysis: State of the Art
    • Klein, J.P.1    Moeschberger, M.L.2    Li, Y.H.3    Wang, S.T.4
  • 24
    • 21744450667 scopus 로고    scopus 로고
    • A marginal likelihood approach to estimation in frailty models
    • Lam, K. F. and Kuk, A. Y. C. (1997). A marginal likelihood approach to estimation in frailty models. J. Amer. Statist. Assoc., 92, 985-990.
    • (1997) J. Amer. Statist. Assoc. , vol.92 , pp. 985-990
    • Lam, K.F.1    Kuk, A.Y.C.2
  • 25
    • 0013091698 scopus 로고    scopus 로고
    • Covariate measurement errors in frailty models for clustered survival data
    • Li, Y. and Lin, X. H. (2000). Covariate measurement errors in frailty models for clustered survival data. Biometrika, 87, 849-866.
    • (2000) Biometrika , vol.87 , pp. 849-866
    • Li, Y.1    Lin, X.H.2
  • 26
    • 0002870588 scopus 로고
    • Heterogeneity in models for bivariate survival: The importance of the mixing distribution
    • Lindeboom, M. and Van Den Berg, G. J. (1994). Heterogeneity in models for bivariate survival: the importance of the mixing distribution. J. R. Statist. Soc. B, 56, 49-60.
    • (1994) J. R. Statist. Soc. B , vol.56 , pp. 49-60
    • Lindeboom, M.1    Van Den Berg, G.J.2
  • 27
    • 0017668790 scopus 로고
    • Mantel-Haenszel analysis of litter-matched time-to-response data, with modifications for recovery interlitter information
    • Mantel, N., Bohidar, N. R. and Ciminera, J. L. (1977). Mantel-Haenszel analysis of litter-matched time-to-response data, with modifications for recovery interlitter information. Cancer Research, 37, 3863-3868.
    • (1977) Cancer Research , vol.37 , pp. 3863-3868
    • Mantel, N.1    Bohidar, N.R.2    Ciminera, J.L.3
  • 28
    • 0027298249 scopus 로고
    • REML estimation for survival models with frailty
    • McGilchrist, C. A. (1993). REML estimation for survival models with frailty. Biometrics, 49, 221-225.
    • (1993) Biometrics , vol.49 , pp. 221-225
    • McGilchrist, C.A.1
  • 29
    • 0025740785 scopus 로고
    • Regression with frailty in survival analysis
    • McGilchrist, C. A. and Aisbett, C. W. (1991). Regression with frailty in survival analysis. Biometrics, 47, 461-466.
    • (1991) Biometrics , vol.47 , pp. 461-466
    • McGilchrist, C.A.1    Aisbett, C.W.2
  • 31
    • 21844522789 scopus 로고
    • Consistency in a proportional hazard model incorporating a random effect
    • Murphy, S. A. (1994). Consistency in a proportional hazard model incorporating a random effect. Ann. Statist., 22, 712-731.
    • (1994) Ann. Statist. , vol.22 , pp. 712-731
    • Murphy, S.A.1
  • 32
    • 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
  • 34
    • 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
  • 35
    • 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
  • 37
    • 0026899240 scopus 로고
    • Acceleration of stochastic approximation by averaging
    • Polyak, B. T. and Juditski, A. B. (1992). Acceleration of stochastic approximation by averaging. SIAM J. Control Optimization, 30, 838-855.
    • (1992) SIAM J. Control Optimization , vol.30 , pp. 838-855
    • Polyak, B.T.1    Juditski, A.B.2
  • 38
    • 0032442347 scopus 로고    scopus 로고
    • A general framework for random effects survival analysis in the Cox proportional hazards setting
    • Sargent, D. J. (1998). A general framework for random effects survival analysis in the Cox proportional hazards setting. Biometrics, 54, 1486-1497.
    • (1998) Biometrics , vol.54 , pp. 1486-1497
    • Sargent, D.J.1
  • 40
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions
    • Tierney, L. (1994). Markov chains for exploring posterior distributions. Ann. Statist., 22, 1701-1762.
    • (1994) Ann. Statist. , vol.22 , pp. 1701-1762
    • Tierney, L.1
  • 41
    • 0034736561 scopus 로고    scopus 로고
    • Proportional hazards model with random effects
    • Vaida, F. and Xu, R. H. (2000). Proportional hazards model with random effects. Statistics in Medicine, 19, 3309-3324.
    • (2000) Statistics in Medicine , vol.19 , pp. 3309-3324
    • Vaida, F.1    Xu, R.H.2


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