메뉴 건너뛰기




Volumn 11, Issue 1, 2010, Pages 111-126

Bayesian random-effects threshold regression with application to survival data with nonproportional hazards

Author keywords

Bayesian methodology; Nonproportional hazards; Random effects; Survival analysis; Threshold regression; Wiener process

Indexed keywords

ALGORITHM; ARTICLE; BAYES THEOREM; BIOSTATISTICS; COMPUTER SIMULATION; HEALTH STATUS; HUMAN; KAPLAN MEIER METHOD; MELANOMA; METHODOLOGY; MONTE CARLO METHOD; MORTALITY; PATHOLOGY; PROBABILITY; PROPORTIONAL HAZARDS MODEL; REGRESSION ANALYSIS; STATISTICAL DISTRIBUTION; STATISTICAL MODEL; STATISTICS; SURVIVAL; ULCER;

EID: 72649106104     PISSN: 14654644     EISSN: 14684357     Source Type: Journal    
DOI: 10.1093/biostatistics/kxp041     Document Type: Article
Times cited : (21)

References (39)
  • 2
    • 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. Statistical Science 16, 1-22.
    • (2001) Statistical Science , vol.16 , pp. 1-22
    • Aalen, O.O.1    Gjessing, H.K.2
  • 3
    • 14844315957 scopus 로고    scopus 로고
    • Survival models based on the Ornstein-Uhlenbeck process
    • AALEN, O. O. AND GJESSING, H. K. (2004). Survival models based on the Ornstein-Uhlenbeck process. Lifetime Data Analysis 10, 407-423.
    • (2004) Lifetime Data Analysis , vol.10 , pp. 407-423
    • Aalen, O.O.1    Gjessing, H.K.2
  • 5
    • 0033481631 scopus 로고    scopus 로고
    • Mean and variance of truncated normal distributions
    • BARR, D. R. AND SHERRILL, E. T. (1999). Mean and variance of truncated normal distributions. American Statistician 53, 357-361.
    • (1999) American Statistician , vol.53 , pp. 357-361
    • Barr, D.R.1    Sherrill, E.T.2
  • 10
    • 0026818056 scopus 로고
    • Models for variable-stress accelerated testing experiments based on Wiener processes and the inverse Gaussian distribution
    • DOKSUM, K. AND HOYLAND, A. (1992). Models for variable-stress accelerated testing experiments based on Wiener processes and the inverse Gaussian distribution. Technometrics 34, 74-82.
    • (1992) Technometrics , vol.34 , pp. 74-82
    • Doksum, K.1    Hoyland, A.2
  • 11
    • 0020053733 scopus 로고
    • Survival with malignant melanoma: A regression analysis of prognostic factors
    • DRZEWIECKI, K. T. AND ANDERSEN, P. K. (1982). Survival with malignant melanoma: a regression analysis of prognostic factors. Cancer 49, 2414-2419.
    • (1982) Cancer , vol.49 , pp. 2414-2419
    • Drzewiecki, K.T.1    Andersen, P.K.2
  • 12
    • 0001120413 scopus 로고
    • A Bayesian analysis of some non-parametric problems
    • FERGUSON, T. S. (1973). A Bayesian analysis of some non-parametric problems. Annals of Statistics 1, 209-230.
    • (1973) Annals of Statistics , vol.1 , pp. 209-230
    • Ferguson, T.S.1
  • 13
    • 0442309445 scopus 로고    scopus 로고
    • Identifiability, improper priors, and Gibbs sampling for generalized linear models
    • GELFAND, A. AND SAHU, S. (1999). Identifiability, improper priors, and Gibbs sampling for generalized linear models. Journal of the American Statistical Association 94, 247-253.
    • (1999) Journal of the American Statistical Association , vol.94 , pp. 247-253
    • Gelfand, A.1    Sahu, S.2
  • 16
    • 0025677550 scopus 로고
    • Exploring the nature of covariate effects in the proportional hazards model
    • HASTIE, T. AND TIBSHIRANI, R. (1990). Exploring the nature of covariate effects in the proportional hazards model. Biometrics 46, 1005-1016.
    • (1990) Biometrics , vol.46 , pp. 1005-1016
    • Hastie, T.1    Tibshirani, R.2
  • 17
    • 2942690092 scopus 로고    scopus 로고
    • Modelling event times with multiple outcomes using the Wiener process with drift
    • HORROCKS, J. AND THOMPSON, M. (2004). Modelling event times with multiple outcomes using the Wiener process with drift. Lifetime Data Analysis 10, 29-49.
    • (2004) Lifetime Data Analysis , vol.10 , pp. 29-49
    • Horrocks, J.1    Thompson, M.2
  • 18
    • 0000062295 scopus 로고
    • Modelling heterogeneity in survival data
    • HOUGAARD, P. (1991). Modelling heterogeneity in survival data. Journal of Applied Probability 28, 695-701.
    • (1991) Journal of Applied Probability , vol.28 , pp. 695-701
    • Hougaard, P.1
  • 20
    • 0031014355 scopus 로고    scopus 로고
    • The role of frailty models and accelerated failure time models in describing heterogeneity due to omitted covariates
    • KEIDING, N., ANDERSEN, P. K. AND KLEIN, J. P. (1997). The role of frailty models and accelerated failure time models in describing heterogeneity due to omitted covariates. Statistics in Medicine 16, 215-224.
    • (1997) Statistics in Medicine , vol.16 , pp. 215-224
    • Keiding, N.1    Andersen, P.K.2    Klein, J.P.3
  • 23
    • 4043052862 scopus 로고    scopus 로고
    • Covariates and random effects in a gamma process model with application to degradation and failure
    • LAWLESS, J. AND CROWDER, M. (2004). Covariates and random effects in a gamma process model with application to degradation and failure. Lifetime Data Analysis 10, 213-227.
    • (2004) Lifetime Data Analysis , vol.10 , pp. 213-227
    • Lawless, J.1    Crowder, M.2
  • 25
    • 34247355185 scopus 로고    scopus 로고
    • Assessing lung cancer risk to rail workers using a first hitting time regression model
    • LEE, M. L. T., GARSHICK, E., WHITMORE, G. A., LADEN, F. AND HART, J. (2004). Assessing lung cancer risk to rail workers using a first hitting time regression model. Environmetrics 15, 1-12.
    • (2004) Environmetrics , vol.15 , pp. 1-12
    • Lee, M.L.T.1    Garshick, E.2    Whitmore, G.A.3    Laden, F.4    Hart, J.5
  • 26
    • 34249306163 scopus 로고    scopus 로고
    • Threshold regression for survival analysis: Modeling event times by a stochastic process reaching a boundary
    • LEE, M. L. T. AND WHITMORE, G. A. (2006). Threshold regression for survival analysis: modeling event times by a stochastic process reaching a boundary. Statistical Science 21, 501-513.
    • (2006) Statistical Science , vol.21 , pp. 501-513
    • Lee, M.L.T.1    Whitmore, G.A.2
  • 27
    • 3042808870 scopus 로고    scopus 로고
    • Inference from accelerated degradation and failure data based on Gaussian process models
    • PADGETT, W. J. AND TOMLINSON, M. (2004). Inference from accelerated degradation and failure data based on Gaussian process models. Lifetime Data Analysis 10, 191-206.
    • (2004) Lifetime Data Analysis , vol.10 , pp. 191-206
    • Padgett, W.J.1    Tomlinson, M.2
  • 28
    • 27844522713 scopus 로고    scopus 로고
    • Accelerated degradation models for failure based on geometric Brownian motion and gamma processes
    • PARK, C. AND PADGETT, W. J. (2005). Accelerated degradation models for failure based on geometric Brownian motion and gamma processes. Lifetime Data Analysis 11, 511-527.
    • (2005) Lifetime Data Analysis , vol.11 , pp. 511-527
    • Park, C.1    Padgett, W.J.2
  • 29
    • 33845512314 scopus 로고    scopus 로고
    • Bayesian semiparametric dynamic frailty models for multiple event time data
    • PENNELL, M. L. AND DUNSON, D. B. (2006). Bayesian semiparametric dynamic frailty models for multiple event time data. Biometrics 62, 1044-1052.
    • (2006) Biometrics , vol.62 , pp. 1044-1052
    • Pennell, M.L.1    Dunson, D.B.2
  • 30
    • 0033240792 scopus 로고    scopus 로고
    • Bayesian analysis for inverse Gaussian lifetime data with measures of degradation
    • PETIT, L. I. AND YOUNG, K. D. S. (1999). Bayesian analysis for inverse Gaussian lifetime data with measures of degradation. Journal of Statistical Computing and Simulation 63, 217-234.
    • (1999) Journal of Statistical Computing and Simulation , vol.63 , pp. 217-234
    • Petit, L.I.1    Young, K.D.S.2
  • 31
    • 12844284557 scopus 로고    scopus 로고
    • Composite hazard functions reflecting competing latent processes
    • SAEBO, S. AND ALMOY, T. (2004). Composite hazard functions reflecting competing latent processes. Biometrical Journal 46, 103-113.
    • (2004) Biometrical Journal , vol.46 , pp. 103-113
    • Saebo, S.1    Almoy, T.2
  • 32
    • 12844275057 scopus 로고    scopus 로고
    • Disease resistance modelled as first-passage times of genetically dependent stochastic processes
    • SAEBO, S., ALMOY, T. AND AASTVEIT, A. H. (2005). Disease resistance modelled as first-passage times of genetically dependent stochastic processes. Applied Statistics 54, 273-285.
    • (2005) Applied Statistics , vol.54 , pp. 273-285
    • Saebo, S.1    Almoy, T.2    Aastveit, A.H.3
  • 33
    • 34249337156 scopus 로고    scopus 로고
    • [PhD. Thesis]. rfsti Boston, MA: Biostatistics Department, Harvard School of Public Health
    • SHUBINA, M. (2005). Bayesian analysis for markers and degradation, [PhD. Thesis]. Boston, MA: Biostatistics Department, Harvard School of Public Health.
    • (2005) Bayesian Analysis for Markers and Degradation
    • Shubina, M.1
  • 35
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions (with discussion)
    • TIERNEY, L. (1994). Markov chains for exploring posterior distributions (with discussion). Annals of Statistics 22, 1701-1762.
    • (1994) Annals of Statistics , vol.22 , pp. 1701-1762
    • Tierney, L.1
  • 36
    • 0018503089 scopus 로고
    • The impact of heterogeneity in individual frailty on the dynamics of mortality
    • VAUPEL, J. M., MANTON, K. G. AND STALLARD, E. (1979). The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography 16, 439-454.
    • (1979) Demography , vol.16 , pp. 439-454
    • Vaupel, J.M.1    Manton, K.G.2    Stallard, E.3
  • 37
    • 0000472582 scopus 로고    scopus 로고
    • Hierarchical generalized linear models and frailty models with Bayesian nonparametric mixing
    • WALKER, S. G. AND MALLICK, B. K. (1997). Hierarchical generalized linear models and frailty models with Bayesian nonparametric mixing. Journal of the Royal Statistical Society, Series B 59, 845-860.
    • (1997) Journal of the Royal Statistical Society, Series B , vol.59 , pp. 845-860
    • Walker, S.G.1    Mallick, B.K.2
  • 38
    • 0010866336 scopus 로고
    • Normal-gamma mixtures of inverse Gaussian distributions
    • WHITMORE, G. A. (1986). Normal-gamma mixtures of inverse Gaussian distributions. Scandinavian Journal of Statistics 13, 211-220.
    • (1986) Scandinavian Journal of Statistics , vol.13 , pp. 211-220
    • Whitmore, G.A.1
  • 39
    • 0031615618 scopus 로고    scopus 로고
    • Failure inference from a marker process based on a bivariate Wiener model
    • WHITMORE, G. A., CROWDER, M. J. AND LAWLESS, J. F. (1998). Failure inference from a marker process based on a bivariate Wiener model. Lifetime Data Analysis 4, 229-251.
    • (1998) Lifetime Data Analysis , vol.4 , pp. 229-251
    • Whitmore, G.A.1    Crowder, M.J.2    Lawless, J.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.