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Volumn 7, Issue 1, 2012, Pages 147-188

A Bayesian semiparametric temporally-stratified proportional hazards model with spatial frailties

Author keywords

Breast cancer; Dependent processes; Spatio temporal modeling; Tailfree processes

Indexed keywords


EID: 84860801159     PISSN: 19360975     EISSN: 19316690     Source Type: Journal    
DOI: 10.1214/12-BA705     Document Type: Article
Times cited : (17)

References (60)
  • 1
    • 33747062507 scopus 로고    scopus 로고
    • On adaptive Markov chain Monte Carlo algorithms
    • Atchadé, Y. F. and Rosenthal, J. S. (2005). "On adaptive Markov chain Monte Carlo algorithms." Bernoulli, 11: 815-828.
    • (2005) Bernoulli , vol.11 , pp. 815-828
    • Atchadé, Y.F.1    Rosenthal, J.S.2
  • 2
    • 0043130540 scopus 로고    scopus 로고
    • Semiparametric spatio-temporal frailty model-ing
    • Banerjee, S. and Carlin, B. P. (2003). "Semiparametric spatio-temporal frailty model-ing." Environmetrics, 14: 523-535.
    • (2003) Environmetrics , vol.14 , pp. 523-535
    • Banerjee, S.1    Carlin, B.P.2
  • 3
    • 0043084977 scopus 로고    scopus 로고
    • Frailty modeling for spatially corre-lated survival data, with application to infant mortality in Minnesota
    • Banerjee, S., Wall, M. M., and Carlin, B. P. (2003). "Frailty modeling for spatially corre-lated survival data, with application to infant mortality in Minnesota." Biostatistics, 4: 123-142.
    • (2003) Biostatistics , vol.4 , pp. 123-142
    • Banerjee, S.1    Wall, M.M.2    Carlin, B.P.3
  • 4
    • 0000039074 scopus 로고
    • The strong ergodic theorem fron densities: generalized Shannon-McMillan-Breiman theorem
    • Barron, A. R. (1985). "The strong ergodic theorem fron densities: generalized Shannon-McMillan-Breiman theorem." The Annals of Probability, 13: 1292-1393.
    • (1985) The Annals of Probability , vol.13 , pp. 1292-1393
    • Barron, A.R.1
  • 6
    • 57849136621 scopus 로고    scopus 로고
    • Metropolis-Hastings algorithms with adap-tive proposals
    • Cai, B., Meyer, R., and Perron, F. (2008). "Metropolis-Hastings algorithms with adap-tive proposals." Statistics and Computing, 18: 421-433.
    • (2008) Statistics and Computing , vol.18 , pp. 421-433
    • Cai, B.1    Meyer, R.2    Perron, F.3
  • 8
    • 74049106134 scopus 로고    scopus 로고
    • Nonparametric Bayes conditional distribution modeling with variable selection
    • Chung, Y. and Dunson, D. B. (2009). "Nonparametric Bayes conditional distribution modeling with variable selection." Journal of the American Statistical Association, 104: 1646-1660.
    • (2009) Journal of the American Statistical Association , vol.104 , pp. 1646-1660
    • Chung, Y.1    Dunson, D.B.2
  • 9
    • 0000336139 scopus 로고
    • Regression models and life-tables (with Discussion)
    • Series B
    • Cox, D. R. (1972). "Regression models and life-tables (with Discussion)." Journal of the Royal Statistical Society, Series B, 34: 187-220.
    • (1972) Journal of the Royal Statistical Society , vol.34 , pp. 187-220
    • Cox, D.R.1
  • 10
    • 70349246865 scopus 로고    scopus 로고
    • Bayesian non-parametric non-proportional hazards survival modelling
    • De Iorio, M., Johnson, W. O., Müller, P., and Rosner, G. L. (2009). "Bayesian non-parametric non-proportional hazards survival modelling." Biometrics, 65: 762-771.
    • (2009) Biometrics , vol.65 , pp. 762-771
    • De Iorio, M.1    Johnson, W.O.2    Müller, P.3    Rosner, G.L.4
  • 12
    • 37549057387 scopus 로고    scopus 로고
    • Generalized spatial Dirichlet process models
    • Duan, J. A., Guindani, M., and Gelfand, A. E. (2007). "Generalized spatial Dirichlet process models." Biometrika, 94: 809-825.
    • (2007) Biometrika , vol.94 , pp. 809-825
    • Duan, J.A.1    Guindani, M.2    Gelfand, A.E.3
  • 14
    • 40249086281 scopus 로고    scopus 로고
    • Kernel stick-breaking processes
    • Dunson, D. B. and Park, J. H. (2008). "Kernel stick-breaking processes." Biometrika, 95: 307-323.
    • (2008) Biometrika , vol.95 , pp. 307-323
    • Dunson, D.B.1    Park, J.H.2
  • 16
  • 17
    • 0000780135 scopus 로고
    • Prior distribution on the spaces of probability measures
    • Ferguson, T. S. (1974). "Prior distribution on the spaces of probability measures." The Annals of Statistics, 2: 615-629.
    • (1974) The Annals of Statistics , vol.2 , pp. 615-629
    • Ferguson, T.S.1
  • 18
    • 0000202123 scopus 로고
    • On the asymptotic distribution of Bayes' estimates in the discrete case
    • Freedman, D. (1963). "On the asymptotic distribution of Bayes' estimates in the discrete case." Annals of Mathematical Statistics, 34: 1386-1403.
    • (1963) Annals of Mathematical Statistics , vol.34 , pp. 1386-1403
    • Freedman, D.1
  • 19
    • 0038784368 scopus 로고    scopus 로고
    • On an adaptive version of the Metropolis-Hastings algorithm with independent proposal distribution
    • Gasemyr, J. (2003). "On an adaptive version of the Metropolis-Hastings algorithm with independent proposal distribution." Scandinavian Journal of Statistics, 30: 159-173.
    • (2003) Scandinavian Journal of Statistics , vol.30 , pp. 159-173
    • Gasemyr, J.1
  • 22
    • 79956292435 scopus 로고    scopus 로고
    • Bayesian nonparametric mod-elling for spatial data using Dirichlet processes (with Discussion)
    • Bernadro, J. M., Bayarri, M. J., Berger, J. O., Dawid, A. P., Hecherman, D., Smith, A. F. M., and West, M. (eds.), Oxford, UK: Oxford University Press
    • Gelfand, A. E., Guindani, M., and Petrone, S. (2007). "Bayesian nonparametric mod-elling for spatial data using Dirichlet processes (with Discussion)." In Bernadro, J. M., Bayarri, M. J., Berger, J. O., Dawid, A. P., Hecherman, D., Smith, A. F. M., and West, M. (eds.), Bayesian Statistics 8, 1-26. Oxford, UK: Oxford University Press.
    • (2007) Bayesian Statistics , vol.8 , pp. 1-26
    • Gelfand, A.E.1    Guindani, M.2    Petrone, S.3
  • 26
    • 77956676472 scopus 로고    scopus 로고
    • Adaptive independent Metropolis-Hastings by fast estimation of mixtures of normals
    • Giordani, P. and Kohn, R. (2010). "Adaptive independent Metropolis-Hastings by fast estimation of mixtures of normals." Journal of Computational and Graphical Statistics, 19(2): 243-259.
    • (2010) Journal of Computational and Graphical Statistics , vol.19 , Issue.2 , pp. 243-259
    • Giordani, P.1    Kohn, R.2
  • 29
    • 0038563932 scopus 로고    scopus 로고
    • An adaptive Metropolis algo-rithm
    • Haario, H., Saksman, E., and Tamminen, J. (2001). "An adaptive Metropolis algo-rithm." Bernoulli, 7: 223-242.
    • (2001) Bernoulli , vol.7 , pp. 223-242
    • Haario, H.1    Saksman, E.2    Tamminen, J.3
  • 30
    • 33846106535 scopus 로고    scopus 로고
    • Inference for mixtures of finite Polya tree models
    • Hanson, T. (2006). "Inference for mixtures of finite Polya tree models." Journal of the American Statistical Association, 101: 1548-1565.
    • (2006) Journal of the American Statistical Association , vol.101 , pp. 1548-1565
    • Hanson, T.1
  • 31
    • 34247207069 scopus 로고    scopus 로고
    • Bayesian semiparametric proportional odds models
    • Hanson, T. and Yang, M. (2007). "Bayesian semiparametric proportional odds models." Biometrics, 63(1): 88-95.
    • (2007) Biometrics , vol.63 , Issue.1 , pp. 88-95
    • Hanson, T.1    Yang, M.2
  • 32
    • 0347994082 scopus 로고    scopus 로고
    • Flexible maximum likelihood methods for bivariate proportional hazards models
    • He, W. and Lawless, J. F. (2003). "Flexible maximum likelihood methods for bivariate proportional hazards models." Biometrics, 59: 837-848.
    • (2003) Biometrics , vol.59 , pp. 837-848
    • He, W.1    Lawless, J.F.2
  • 36
    • 2142830935 scopus 로고    scopus 로고
    • Computational methods for multiplicative in-tensity models using weighted gamma processes: proportional hazards, marked point processes and panel count data
    • Ishwaran, H. and James, L. F. (2004). "Computational methods for multiplicative in-tensity models using weighted gamma processes: proportional hazards, marked point processes and panel count data." Journal of the American Statistical Association, 99: 175-190.
    • (2004) Journal of the American Statistical Association , vol.99 , pp. 175-190
    • Ishwaran, H.1    James, L.F.2
  • 37
    • 80052295157 scopus 로고    scopus 로고
    • A class of mixtures of dependent tail-free processes
    • Jara, A. and Hanson, T. (2011). "A class of mixtures of dependent tail-free processes." Biometrika, 98: 553-566.
    • (2011) Biometrika , vol.98 , pp. 553-566
    • Jara, A.1    Hanson, T.2
  • 38
    • 72449141677 scopus 로고    scopus 로고
    • Robustifying generalized linear mixed models using a new class of mixtures of multivariate Polya trees
    • Jara, A., Hanson, T., and Lesaffre, E. (2009). "Robustifying generalized linear mixed models using a new class of mixtures of multivariate Polya trees." Journal of Com-putational and Graphical Statistics, 18: 838-860.
    • (2009) Journal of Com-putational and Graphical Statistics , vol.18 , pp. 838-860
    • Jara, A.1    Hanson, T.2    Lesaffre, E.3
  • 39
  • 40
    • 79961227657 scopus 로고    scopus 로고
    • Bayesian semiparamet-ric inference for multivariate doubly-interval-censored data
    • Jara, A., Lesaffre, E., De Iorio, M., and Quintana, F. A. (2010). "Bayesian semiparamet-ric inference for multivariate doubly-interval-censored data." The Annals of Applied Statistics, 4: 2126-2149.
    • (2010) The Annals of Applied Statistics , vol.4 , pp. 2126-2149
    • Jara, A.1    Lesaffre, E.2    De Iorio, M.3    Quintana, F.A.4
  • 42
    • 34047261449 scopus 로고    scopus 로고
    • Bayesian nonparametric inference of stochas-tically ordered distributions, with Polya trees and Bernstein polynomials
    • Karabatsos, G. and Walker, S. G. (2007). "Bayesian nonparametric inference of stochas-tically ordered distributions, with Polya trees and Bernstein polynomials." Statistics and Probability Letters, 77: 907-913.
    • (2007) Statistics and Probability Letters , vol.77 , pp. 907-913
    • Karabatsos, G.1    Walker, S.G.2
  • 44
    • 41149092479 scopus 로고    scopus 로고
    • Modeling disease incidence data with spatial and spatio-temporal Dirichlet process mixtures
    • Kottas, A., Duan, J. A., and Gelfand, A. E. (2008). "Modeling disease incidence data with spatial and spatio-temporal Dirichlet process mixtures." Biometrical Journal, 50: 29-42.
    • (2008) Biometrical Journal , vol.50 , pp. 29-42
    • Kottas, A.1    Duan, J.A.2    Gelfand, A.E.3
  • 45
    • 0001073517 scopus 로고
    • A class of distribution function processes which have derivatives
    • Kraft, C. M. (1964). "A class of distribution function processes which have derivatives." Journal of Applied Probability, 1: 385-388.
    • (1964) Journal of Applied Probability , vol.1 , pp. 385-388
    • Kraft, C.M.1
  • 46
    • 0031283649 scopus 로고    scopus 로고
    • Bayesian semiparametric inference for the accelerated failure-time model
    • Kuo, L. and Mallick, B. (1997). "Bayesian semiparametric inference for the accelerated failure-time model." Canadian Journal of Statistics, 25: 457-472.
    • (1997) Canadian Journal of Statistics , vol.25 , pp. 457-472
    • Kuo, L.1    Mallick, B.2
  • 47
    • 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." Journal of the American Statistical Association, 101: 591-603.
    • (2006) Journal of the American Statistical Association , vol.101 , pp. 591-603
    • Li, Y.1    Lin, X.2
  • 49
    • 24644475726 scopus 로고    scopus 로고
    • Technical report, Department of Statistics, The Ohio State University
    • MacEachern, S. N. (2000). "Dependent Dirichlet processes." Technical report, Department of Statistics, The Ohio State University.
    • (2000) Dependent Dirichlet processes
    • MacEachern, S.N.1
  • 50
    • 0009171315 scopus 로고
    • Sur la construction de mesures aléatoires presque sûrement ab-solument continues par rapport à une mesure donnée
    • Metivier, M. (1971). "Sur la construction de mesures aléatoires presque sûrement ab-solument continues par rapport à une mesure donnée." Zeitschrift fur Wahrschein-lichkeitstheorie und Verwandte Gebiete, 20: 332-344.
    • (1971) Zeitschrift fur Wahrschein-lichkeitstheorie und Verwandte Gebiete , vol.20 , pp. 332-344
    • Metivier, M.1
  • 51
  • 52
    • 79961135005 scopus 로고    scopus 로고
    • R Development Core Team R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0. URL
    • R Development Core Team (2011). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0. URL http://www.R-project.org
    • (2011) R: A language and environment for statistical computing
  • 53
    • 48349083226 scopus 로고    scopus 로고
    • A multivariate nonparametric Bayesian spatial framework for hurricane surface wind fields
    • Reich, B. J. and Fuentes, M. (2007). "A multivariate nonparametric Bayesian spatial framework for hurricane surface wind fields." Annals of Applied Statistics, 1: 249-264.
    • (2007) Annals of Applied Statistics , vol.1 , pp. 249-264
    • Reich, B.J.1    Fuentes, M.2
  • 54
    • 0000720609 scopus 로고
    • A constructive definition of Dirichlet priors
    • Sethuraman, J. (1994). "A constructive definition of Dirichlet priors." Statistica Sinica, 2: 639-650.
    • (1994) Statistica Sinica , vol.2 , pp. 639-650
    • Sethuraman, J.1
  • 55
    • 37349019755 scopus 로고    scopus 로고
    • BOA: An R package for MCMC output convergence assessment and posterior inference
    • Smith, B. J. (2007). "BOA: An R package for MCMC output convergence assessment and posterior inference." Journal of Statistical Software, 21: 1-37.
    • (2007) Journal of Statistical Software , vol.21 , pp. 1-37
    • Smith, B.J.1
  • 58
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions
    • Tierney, L. (1994). "Markov chains for exploring posterior distributions." The Annals of Statistics, 22: 1701-1762.
    • (1994) The Annals of Statistics , vol.22 , pp. 1701-1762
    • Tierney, L.1
  • 59
    • 79952135833 scopus 로고    scopus 로고
    • The multivariate beta process and an extension of the Polya tree model
    • Trippa, L., Müller, P., and Johnson, W. (2011). "The multivariate beta process and an extension of the Polya tree model." Biometrika, 98(1): 17-34.
    • (2011) Biometrika , vol.98 , Issue.1 , pp. 17-34
    • Trippa, L.1    Müller, P.2    Johnson, W.3
  • 60
    • 66249141260 scopus 로고    scopus 로고
    • Flexible spatial frailty modeling via mixtures of Polya trees
    • Zhao, L., Hanson, T., and Carlin, B. P. (2009). "Flexible spatial frailty modeling via mixtures of Polya trees." Biometrika, 96: 263-276.
    • (2009) Biometrika , vol.96 , pp. 263-276
    • Zhao, L.1    Hanson, T.2    Carlin, B.P.3


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