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Volumn 9, Issue 2, 2000, Pages 217-234

Structured Markov Chain Monte Carlo

Author keywords

Blocking; Convergence acceleration; Gibbs sampling; Hierarchical model; Metropolis Hastings algorithm

Indexed keywords


EID: 23044518019     PISSN: 10618600     EISSN: 15372715     Source Type: Journal    
DOI: 10.1080/10618600.2000.10474877     Document Type: Article
Times cited : (36)

References (45)
  • 1
    • 0028091097 scopus 로고
    • Comparative Trial of Didanosine and Zalcitabine in Patients with Human Immunodeficiency Virus Infection who are Intolerant or have Failed Zidovudine Therapy
    • Abrams, D. I., Goldman, A. I., Launer, C., et al. (1994), “Comparative Trial of Didanosine and Zalcitabine in Patients with Human Immunodeficiency Virus Infection who are Intolerant or have Failed Zidovudine Therapy,” New England Journal of Medicine, 330, 657-662.
    • (1994) New England Journal of Medicine , vol.330 , pp. 657-662
    • Abrams, D.I.1    Goldman, A.I.2    Launer, C.3
  • 2
    • 0000103562 scopus 로고
    • Spatial Statistics and Bayesian Computation
    • (with discussion), Series B
    • Besag, J., and Green, P. J. (1993), “Spatial Statistics and Bayesian Computation” (with discussion), Journal of the Royal Statistical Society, Series B, 55, 25-37.
    • (1993) Journal of the Royal Statistical Society , vol.55 , pp. 25-37
    • Besag, J.1    Green, P.J.2
  • 3
    • 0141477361 scopus 로고
    • Bayesian Computation and Stochastic Systems
    • (with discussion)
    • Besag, J., Green, P., Higdon, D., and Mengersen, K. (1995), “Bayesian Computation and Stochastic Systems” (with discussion), Statistical Science, 10, 3-66.
    • (1995) Statistical Science , vol.10 , pp. 3-66
    • Besag, J.1    Green, P.2    Higdon, D.3    Mengersen, K.4
  • 4
    • 28344449679 scopus 로고
    • Bayesian Image Restoration, with Two Applications in Spatial Statistics
    • (with discussion)
    • Besag, J., York, J. C., and Mollie, A. (1991), “Bayesian Image Restoration, with Two Applications in Spatial Statistics” (with discussion), Annals of the Institute of Statistical Mathematics, 43, 1-59.
    • (1991) Annals of the Institute of Statistical Mathematics , vol.43 , pp. 1-59
    • Besag, J.1    York, J.C.2    Mollie, A.3
  • 7
    • 84988112810 scopus 로고
    • Inference for Nonconjugate Bayesian Models Using the Gibbs Sampler
    • Carlin, B. P., and Poison, N. G. (1991), “Inference for Nonconjugate Bayesian Models Using the Gibbs Sampler,” Canadian Journal of Statistics, 19, 399-405.
    • (1991) Canadian Journal of Statistics , vol.19 , pp. 399-405
    • Carlin, B.P.1    Poison, N.G.2
  • 8
    • 0030539336 scopus 로고    scopus 로고
    • Markov Chain Monte Carlo Convergence Diagnostics: A Comparative Review
    • Cowles, M. K., and Carlin, B. P. (1996), “Markov Chain Monte Carlo Convergence Diagnostics: A Comparative Review,” Journal of the American Statistical Association, 91, 883-904.
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 883-904
    • Cowles, M.K.1    Carlin, B.P.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
    • 0033481108 scopus 로고    scopus 로고
    • Gibbs Sampling for Bayesian Nonconjugate and Hierarchical Models using Auxilliary Variables
    • Series B
    • Damien, P., Wakefield, J., and Walker, S. (1999), “Gibbs Sampling for Bayesian Nonconjugate and Hierarchical Models using Auxilliary Variables,” Journal of the Royal Statistical Society, Series B, 61, 331-344.
    • (1999) Journal of the Royal Statistical Society , vol.61 , pp. 331-344
    • Damien, P.1    Wakefield, J.2    Walker, S.3
  • 11
    • 84972543992 scopus 로고
    • Methods for Approximating Integrals in Statistics with Special Emphasis on Bayesian Integration Problems
    • Evans, M., and Swartz, T. (1995), “Methods for Approximating Integrals in Statistics with Special Emphasis on Bayesian Integration Problems,” Statistical Science, 10, 254-272.
    • (1995) Statistical Science , vol.10 , pp. 254-272
    • Evans, M.1    Swartz, T.2
  • 12
    • 30244487984 scopus 로고    scopus 로고
    • Broken Biological Size Relationships: A Truncated Semiparametric Regression Approach with Measurement Error
    • Gelfand, A. E., Mallick, B. K., and Polasek, W. (1997), “Broken Biological Size Relationships: A Truncated Semiparametric Regression Approach with Measurement Error," Journal of the American Statistical Association, 92, 836-845.
    • (1997) Journal of the American Statistical Association , vol.92 , pp. 836-845
    • Gelfand, A.E.1    Mallick, B.K.2    Polasek, W.3
  • 13
    • 0001574731 scopus 로고
    • Efficient Parametrizations for Normal Linear Mixed Models
    • Gelfand, A. E., Sahu, S. K., and Carlin, B. P. (1995), “Efficient Parametrizations for Normal Linear Mixed Models,” Biometrika, 82, 479-488.
    • (1995) Biometrika , vol.82 , pp. 479-488
    • Gelfand, A.E.1    Sahu, S.K.2    Carlin, B.P.3
  • 14
    • 84950437936 scopus 로고
    • Annealing Markov Chain Monte Carlo with Applications to Ancestral Inference
    • Geyer, C. J., and Thompson, E. A. (1995), “Annealing Markov Chain Monte Carlo with Applications to Ancestral Inference,” Journal of the American Statistical Association, 90, 909-920.
    • (1995) Journal of the American Statistical Association , vol.90 , pp. 909-920
    • Geyer, C.J.1    Thompson, E.A.2
  • 15
    • 0002388372 scopus 로고    scopus 로고
    • Strategies for Improving MCMC
    • W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, London: Chapman and Hall
    • Gilks, W. R., and Roberts, G. O. (1996), “Strategies for Improving MCMC,” in Markov Chain Monte Carlo in Practice, eds. W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, London: Chapman and Hall, pp. 89-114.
    • (1996) Markov Chain Monte Carlo in Practice , pp. 89-114
    • Gilks, W.R.1    Roberts, G.O.2
  • 17
    • 70449647008 scopus 로고
    • Proportional Hazards Tests and Diagnostics based on Weighted Residuals
    • Grambsch, P. M., and Themeau, 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    Themeau, T.M.2
  • 18
    • 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, 57, 97-109.
    • (1970) Biometrika , vol.57 , pp. 97-109
    • Hastings, W.K.1
  • 19
    • 0001422227 scopus 로고
    • Parametrization Issues in Bayesian Inference
    • J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford: Oxford University Press
    • Hills, S. E., and Smith, A. F. M. (1992), “Parametrization Issues in Bayesian Inference,” in Bayesian Statistics 4, eds. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford: Oxford University Press, pp. 641-649.
    • (1992) Bayesian Statistics 4 , pp. 641-649
    • Hills, S.E.1    Smith, A.F.M.2
  • 20
    • 0001750294 scopus 로고    scopus 로고
    • Some Algebra and Geometry for Hierarchical Models, Applied to Diagnostics
    • (with discussion), Series B
    • Hodges, J. S. (1998), “Some Algebra and Geometry for Hierarchical Models, Applied to Diagnostics” (with discussion), Journal of the Royal Statistical Society, Series B, 60, 497-536.
    • (1998) Journal of the Royal Statistical Society , vol.60 , pp. 497-536
    • Hodges, J.S.1
  • 22
    • 0032382838 scopus 로고    scopus 로고
    • Markov Chain Monte Carlo in Practice: A Roundtable Discussion
    • Kass, R. E., Carlin, B. P., Gelman, A., and Neal, R. (1998), “Markov Chain Monte Carlo in Practice: A Roundtable Discussion,” The American Statistician, 52, 93-100.
    • (1998) The American Statistician , vol.52 , pp. 93-100
    • Kass, R.E.1    Carlin, B.P.2    Gelman, A.3    Neal, R.4
  • 23
    • 0000174067 scopus 로고
    • Goodness-of-Fit for the Cox Regression Model Based on a Class of Parameter Estimators
    • Lin, D. Y. (1991), “Goodness-of-Fit for the Cox Regression Model Based on a Class of Parameter Estimators,” Journal of the American Statistical Association, 86, 725-728.
    • (1991) Journal of the American Statistical Association , vol.86 , pp. 725-728
    • Lin, D.Y.1
  • 24
    • 0003232065 scopus 로고
    • Bayes Estimates for the Linear Model
    • (with discussion), Series B
    • Lindley, D. V., and Smith, A. F. M. (1972), “Bayes Estimates for the Linear Model” (with discussion), Journal of the Royal Statistical Society, Series B, 34, 1-41.
    • (1972) Journal of the Royal Statistical Society , vol.34 , pp. 1-41
    • Lindley, D.V.1    Smith, A.F.M.2
  • 25
    • 79951870792 scopus 로고
    • The Collapsed Gibbs Sampler in Bayesian Computations with Applications to a Gene Regulation Problem
    • Liu, J. S. (1994), “The Collapsed Gibbs Sampler in Bayesian Computations with Applications to a Gene Regulation Problem,” Journal of the American Statistical Association, 89, 958-966.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 958-966
    • Liu, J.S.1
  • 26
    • 0001789822 scopus 로고
    • Covariance Structure of the Gibbs Sampler with Applications to the Comparisons of Estimators and Augmentation Schemes
    • Liu, J. S., Wong, W. H., and Kong, A. (1994), “Covariance Structure of the Gibbs Sampler with Applications to the Comparisons of Estimators and Augmentation Schemes,” Biometrika, 81, 27-40.
    • (1994) Biometrika , vol.81 , pp. 27-40
    • Liu, J.S.1    Wong, W.H.2    Kong, A.3
  • 27
    • 0001204841 scopus 로고    scopus 로고
    • MCMC Convergence Diagnostics: A ‘RevieWWW
    • (with discussion), eds. J. M. Bernardo, J. 0. Berger, A. P. Dawid, and A. F. M. Smith, Oxford: Oxford University Press
    • Mengersen, K. L., Robert, C. P., and Guihenneuc-Jouyaux, C. (1999), “MCMC Convergence Diagnostics: A ‘Review’” (with discussion), Bayesian Statistics 6, eds. J. M. Bernardo, J. 0. Berger, A. P. Dawid, and A. F. M. Smith, Oxford: Oxford University Press, pp. 415-440.
    • (1999) Bayesian Statistics , vol.6 , pp. 415-440
    • Mengersen, K.L.1    Robert, C.P.2    Guihenneuc-Jouyaux, C.3
  • 29
    • 21444452127 scopus 로고    scopus 로고
    • Sampling from Multimodal Distributions Using Tempered Transitions
    • Neal, R. M. (1996), “Sampling from Multimodal Distributions Using Tempered Transitions,” Statistics and Computation, 6, 353-366.
    • (1996) Statistics and Computation , vol.6 , pp. 353-366
    • Neal, R.M.1
  • 30
    • 0000940729 scopus 로고
    • Facilitating the Gibbs Sampler: The Gibbs Stopper and the Griddy Gibbs Sampler
    • Ritter, C., and Tanner, M. A. (1992), “Facilitating the Gibbs Sampler: The Gibbs Stopper and the Griddy Gibbs Sampler,” Journal of the American Statistical Association, 87, 861-868.
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 861-868
    • Ritter, C.1    Tanner, M.A.2
  • 31
    • 0000051645 scopus 로고    scopus 로고
    • Updating Schemes, Correlation Structure, Blocking and Parameterization for the Gibbs Sampler
    • Series B
    • Roberts, G. O., and Sahu, S. K. (1997), “Updating Schemes, Correlation Structure, Blocking and Parameterization for the Gibbs Sampler,” Journal of the Royal Statistical Society, Series B, 59, 291-317.
    • (1997) Journal of the Royal Statistical Society , vol.59 , pp. 291-317
    • Roberts, G.O.1    Sahu, S.K.2
  • 32
    • 43949153069 scopus 로고
    • Simple Conditions for the Convergence of the Gibbs Sampler and Metropolis-Hastings Algorithms
    • Roberts, G. O., and Smith, A. F. M. (1993), “Simple Conditions for the Convergence of the Gibbs Sampler and Metropolis-Hastings Algorithms,” Stochastic Processes and their Applications, 49, 207-216.
    • (1993) Stochastic Processes and Their Applications , vol.49 , pp. 207-216
    • Roberts, G.O.1    Smith, A.F.M.2
  • 33
    • 33746388444 scopus 로고    scopus 로고
    • Geometric Convergence and Central Limit Theorems for Multidimensional Hastings and Metropolis Algorithms
    • Roberts, G. O., and Tweedie, R. L. (1996), “Geometric Convergence and Central Limit Theorems for Multidimensional Hastings and Metropolis Algorithms,” Biometrika, 83, 95-110.
    • (1996) Biometrika , vol.83 , pp. 95-110
    • Roberts, G.O.1    Tweedie, R.L.2
  • 34
    • 0030632216 scopus 로고    scopus 로고
    • A Flexible Approach to Time-Varying Coefficients in the Cox Regression Setting
    • Sargent, D. J. (1997), “A Flexible Approach to Time-Varying Coefficients in the Cox Regression Setting,” Lifetime Data Analysis, 3, 13-25.
    • (1997) Lifetime Data Analysis , vol.3 , pp. 13-25
    • Sargent, D.J.1
  • 38
    • 0003674109 scopus 로고
    • technical report, Medical Research Council Biostatistics Unit, Institute of Public Health, Cambridge University
    • Spiegelhalter, D. J., Thomas, A., Best, N., and Gilks, W. R. (1995b), “BUGS Examples, Version 0.50,” technical report, Medical Research Council Biostatistics Unit, Institute of Public Health, Cambridge University.
    • (1995) BUGS Examples, Version 0.50
    • Spiegelhalter, D.J.1    Thomas, A.2    Best, N.3    Gilks, W.R.4
  • 40
    • 33747349191 scopus 로고
    • Nonuniversal Critical Dynamics in Monte Carlo Simulations
    • Swendsen, R. H., and Wang, J.-S. (1987), “Nonuniversal Critical Dynamics in Monte Carlo Simulations,” Physical Review Letters, 58, 86-88.
    • (1987) Physical Review Letters , vol.58 , pp. 86-88
    • Swendsen, R.H.1    Wang, J.-S.2
  • 41
    • 0000576595 scopus 로고
    • Markov Chains for Exploring Posterior Distributions
    • (with discussion)
    • Tierney, L. (1994), “Markov Chains for Exploring Posterior Distributions” (with discussion), The Annals of Statistics, 22, 1701-1762.
    • (1994) The Annals of Statistics , vol.22 , pp. 1701-1762
    • Tierney, L.1
  • 42
    • 0141642309 scopus 로고    scopus 로고
    • Discussion of “Some Algebra and Geometry for Hierarchical Models, Applied to Diagnostics,”
    • by J. S. Hodges, Series B
    • Wakefield, J. C. (1998), Discussion of “Some Algebra and Geometry for Hierarchical Models, Applied to Diagnostics,” by J. S. Hodges, Journal of the Royal Statistical Society, Series B, 60, 523-525.
    • (1998) Journal of the Royal Statistical Society , vol.60 , pp. 523-525
    • Wakefield, J.C.1
  • 43
    • 4243839021 scopus 로고
    • Bayesian Analysis of Linear and Nonlinear Population Models by Using the Gibbs Sampler
    • Wakefield, J. C., Smith, A. F. M., Racine-Poon, A., and Gelfand, A. E. (1994), “Bayesian Analysis of Linear and Nonlinear Population Models by Using the Gibbs Sampler,” Applied Statistics, 43, 201-221.
    • (1994) Applied Statistics , vol.43 , pp. 201-221
    • Wakefield, J.C.1    Smith, A.F.M.2    Racine-Poon, A.3    Gelfand, A.E.4


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