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Volumn 91, Issue 434, 1996, Pages 883-904

Markov Chain Monte Carlo Convergence Diagnostics: A Comparative Review

Author keywords

Autocorrelation; Gibbs sampler; Metropolis Hastings algorithm

Indexed keywords


EID: 0030539336     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1996.10476956     Document Type: Article
Times cited : (1602)

References (58)
  • 1
    • 21144472277 scopus 로고
    • A bayesian analysis of a poisson random effects model for home run hitters
    • Albert, J. H. (1992), –A Bayesian Analysis of a Poisson Random Effects Model for Home Run Hitters,— The American Statistician, 46, 246-253.
    • (1992) The American Statistician , vol.46 , pp. 246-253
    • Albert, J.H.1
  • 2
    • 21144468971 scopus 로고
    • Teaching bayesian statistics using sampling methods and minitab
    • Albert, J. H. (1993), –Teaching Bayesian Statistics Using Sampling Methods and MINITAB,— The American Statistician, 47, 182-191.
    • (1993) The American Statistician , vol.47 , pp. 182-191
    • Albert, J.H.1
  • 3
    • 0344475788 scopus 로고
    • –bayesian estimation of fuel economy potential due to technology improvements— (With discussion)
    • C. Gatsonis, J. S. Hodges, R. E. Kass, and N. D. Singpurwalla, New York: Springer-Verlag
    • Andrews, R. W, Berger, J. O., and Smith, M. H. (1993), –Bayesian Estimation of Fuel Economy Potential due to Technology Improvements— (with discussion), in Case Studies in Bayesian Statistics, Lecture Notes in Statistics, Vol. 83, eds. C. Gatsonis, J. S. Hodges, R. E. Kass, and N. D. Singpurwalla, New York: Springer-Verlag, pp. 1-77.
    • (1993) Case Studies in Bayesian Statistics, Lecture Notes in Statistics , vol.83 , pp. 1-77
    • Andrews, R.W.1    Berger, J.O.2    Smith, M.H.3
  • 6
    • 0012233415 scopus 로고
    • Detecting a change in the shape of a prehistoric corbelled tomb
    • Buck, C. E., Litton, C. D., and Stephens, D. A. (1993), –Detecting a Change in the Shape of a Prehistoric Corbelled Tomb,— The Statistician, 42, 483-490.
    • (1993) The Statistician , vol.42 , pp. 483-490
    • Buck, C.E.1    Litton, C.D.2    Stephens, D.A.3
  • 8
    • 0000576596 scopus 로고
    • Discussion of –markov chains for exploring posterior distributions,— by l. Tierney
    • Chan, K. S., and Geyer, C. J. (1995), Discussion of –Markov Chains for Exploring Posterior Distributions,— by L. Tierney, The Annals of Statistics, 22, 1747-1758.
    • (1995) The Annals of Statistics , vol.22 , pp. 1747-1758
    • Chan, K.S.1    Geyer, C.J.2
  • 9
    • 84936916896 scopus 로고
    • Robust locally weighted regression and smoothing scatterplots
    • Cleveland, W S. (1979), "Robust Locally Weighted Regression and Smoothing Scatterplots, ' Journal of the American Statistical Association, 74, 829-836.
    • (1979) Journal of the American Statistical Association , vol.74 , pp. 829-836
    • Cleveland, W.S.1
  • 10
    • 84972491080 scopus 로고
    • Comment: Monitoring convergence of the gibbs sampler: Further experience with the gibbs stopper
    • Cui, L., Tanner, M. A., Sinha, D., and Hall, W J. (1992), –Comment: Monitoring Convergence of the Gibbs Sampler: Further Experience With the Gibbs Stopper,— Statistical Science, 7, 483-486.
    • (1992) Statistical Science , vol.7 , pp. 483-486
    • Cui, L.1    Tanner, M.A.2    Sinha, D.3    Hall, W.J.4
  • 12
    • 84988121039 scopus 로고
    • Maximum likelihood estimation for constrained or missing data models
    • Gelfand, A. E., and Carlin, B. P. (1993), –Maximum Likelihood Estimation for Constrained or Missing Data Models,— Canadian Journal of Statistics, 21, 303-312.
    • (1993) Canadian Journal of Statistics , vol.21 , pp. 303-312
    • Gelfand, A.E.1    Carlin, B.P.2
  • 14
    • 0001574731 scopus 로고
    • Efficient parameterizations for normal linear mixed models
    • Gelfand, A. E., Sahu, S. K., and Carlin, B. P. (1995a), –Efficient Parameterizations 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
  • 15
    • 0001516939 scopus 로고    scopus 로고
    • Efficient parameterizations for generalized linear mixed models
    • J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press, to appear
    • Gelfand, A. E., Sahu, S. K., and Carlin, B. P. (1996), –Efficient Parameterizations for Generalized Linear Mixed Models,— in Bayesian Statistics 5, eds. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press, to appear.
    • (1996) Bayesian Statistics , vol.5
    • Gelfand, A.E.1    Sahu, S.K.2    Carlin, B.P.3
  • 17
    • 84972492387 scopus 로고    scopus 로고
    • B. (1992a), –inference from iterative simulation using multiple sequences— (with discussion)
    • Gelman, A., and Rubin, D. B. (1992a), –Inference From Iterative Simulation Using Multiple Sequences— (with discussion), Statistical Science, 7, 457-511.
    • Statistical Science , vol.7 , pp. 457-511
    • Gelman, A.1    Rubin, D.2
  • 18
    • 84972529383 scopus 로고
    • Rejoinder: Replication without contrition
    • Gelman, A., and Rubin, D. B. (1992b), –Rejoinder: Replication Without Contrition,— Statistical Science, 7, 503-507.
    • (1992) Statistical Science , vol.7 , pp. 503-507
    • Gelman, A.1    Rubin, D.B.2
  • 20
    • 0001032163 scopus 로고
    • Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments
    • J. M. Bernardo, J. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press
    • Geweke, J. (1992), –Evaluating the Accuracy of Sampling-Based Approaches to the Calculation of Posterior Moments. — in Bayesian Statistics 4, eds. J. M. Bernardo, J. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press, pp. 169-193.
    • (1992) Bayesian Statistics , vol.4 , pp. 169-193
    • Geweke, J.1
  • 21
    • 84972511893 scopus 로고
    • Practical markov chain monte carlo
    • Geyer, C. J. (1992), –Practical Markov Chain Monte Carlo,— Statistical Science, 7, 473-483.
    • (1992) Statistical Science , vol.7 , pp. 473-483
    • Geyer, C.J.1
  • 22
    • 0000051109 scopus 로고
    • Constrained monte carlo like– lihood for dependent data— (With discussion)
    • Geyer, C. J., and Thompson, E. A. (1992), –Constrained Monte Carlo Like— lihood for Dependent Data" (with discussion), Journal ofthe Royal Statistical Society, Ser. B, 54, 657-699.
    • (1992) Journal Ofthe Royal Statistical Society, Ser. B , vol.54 , pp. 657-699
    • Geyer, C.J.1    Thompson, E.A.2
  • 23
    • 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 ofthe American Statistical Association, 90, 909-920.
    • (1995) Journal Ofthe American Statistical Association , vol.90 , pp. 909-920
    • Geyer, C.J.1    Thompson, E.A.2
  • 24
    • 0001178202 scopus 로고
    • A language and program for complex bayesian modelling
    • Gilks, W R., Thomas, A., and Spiegelhalter, D. J. (1994), –A Language and Program for Complex Bayesian Modelling,— The Statistician, 43, 169-178.
    • (1994) The Statistician , vol.43 , pp. 169-178
    • Gilks, W.R.1    Thomas, A.2    Spiegelhalter, D.J.3
  • 25
    • 77956890234 scopus 로고
    • Monte carlo sampling methods using markov chains and their applications
    • Hastings, WK. (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
  • 26
    • 0020850136 scopus 로고
    • Simulation run length control in the presence of an initial transient
    • Heidelberger, P., and Welch, P. D. (1983), –Simulation Run Length Control in the Presence of an Initial Transient,— Operations Research, 31, 11091-144.
    • (1983) Operations Research , vol.31 , pp. 11091-11144
    • Heidelberger, P.1    Welch, P.D.2
  • 27
    • 0001422227 scopus 로고
    • Parameterization issues in bayesian inference" (With discussion)
    • J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press
    • Hills, S. E., and Smith, A. F. M. (1992), –Parameterization Issues in Bayesian Inference— (with discussion), in Bayesian Statistics 4, eds. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press, pp. 227-246.
    • (1992) Bayesian Statistics , vol.4 , pp. 227-246
    • Hills, S.E.1    Smith, A.2
  • 28
    • 0001307109 scopus 로고
    • Studying convergence of markov chain monte carlo algorithms using coupled sample paths
    • Johnson, V. E. (1994), –Studying Convergence of Markov Chain Monte Carlo Algorithms Using Coupled Sample Paths,— Journal of the American Statistical Association, 91, 154-166.
    • (1994) Journal of the American Statistical Association , vol.91 , pp. 154-166
    • Johnson, V.E.1
  • 29
    • 84950459427 scopus 로고
    • "hierarchical bayes models for the progression of hiv infection using longitudinal cd4+ counts
    • Lange, N., Carlin, B. P., and Gelfand, A. E. (1992), –Hierarchical Bayes Models for the Progression of HIV Infection Using Longitudinal CD4+ Counts— (with discussion), Journal of the American Statistical Association, 87, 615-625.
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 615-625
    • Lange, N.1    Carlin, B.P.2    Gelfand, A.E.3
  • 31
    • 0000854270 scopus 로고
    • Correlation structure and convergence rate of the gibbs sampler with various scans
    • Liu, J., Wong, W. H., and Kong, A. (1995), –Correlation Structure and Convergence Rate of the Gibbs Sampler With Various Scans,— Journal of the Royal Statistical Society, Ser. B, 57, 157-169.
    • (1995) Journal of the Royal Statistical Society, Ser. B , vol.57 , pp. 157-169
    • Liu, J.1    Wong, W.H.2    Kong, A.3
  • 36
    • 0000094543 scopus 로고    scopus 로고
    • Convergence of markov chain monte carlo algorithms
    • J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press, to appear
    • Polson, N. G. (1996). –Convergence of Markov Chain Monte Carlo Algorithms,— in Bayesian Statistics 5, eds. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press, to appear.
    • (1996) Bayesian Statistics , vol.5
    • Polson, N.G.1
  • 37
    • 0000759236 scopus 로고
    • How many iterations in the gibbs sampler"
    • J. M. Bernardo, J. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press
    • Raftery, A. E., and Lewis, S. (1992), –How Many Iterations in the Gibbs Sampler—, ' in Bayesian Statistics 4, eds. J. M. Bernardo, J. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press, pp. 763-773.
    • (1992) Bayesian Statistics , vol.4 , pp. 763-773
    • Raftery, A.E.1    Lewis, S.2
  • 39
    • 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 ofthe American Statistical Association, 87, 861-868.
    • (1992) Journal Ofthe American Statistical Association , vol.87 , pp. 861-868
    • Ritter, C.1    Tanner, M.A.2
  • 40
    • 0000569335 scopus 로고
    • Convergence diagnostics of the gibbs sampler
    • I. M. Bernardo, J. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press
    • Roberts, G. O. (1992), –Convergence Diagnostics of the Gibbs Sampler,— in Bayesian Statistics 4, eds. I. M. Bernardo, J. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press, pp. 775-782.
    • (1992) Bayesian Statistics , vol.4 , pp. 775-782
    • Roberts, G.O.1
  • 41
    • 0009000215 scopus 로고    scopus 로고
    • Methods for estimating £2 convergence of markov chain monte carlo
    • D. Berry, I. Chaloner, and J. Geweke, Amsterdam: North-Holland
    • Roberts, G. O. (1996), –Methods for Estimating £2 Convergence of Markov Chain Monte Carlo,— in Bayesian Statistics and Econometrics: Essays in Honor ofArnold Zellner, eds. D. Berry, I. Chaloner, and J. Geweke, Amsterdam: North-Holland, pp. 373-384.
    • (1996) Bayesian Statistics and Econometrics: Essays in Honor Ofarnold Zellner , pp. 373-384
    • Roberts, G.O.1
  • 43
    • 0001764140 scopus 로고
    • Rates of convergence for data augmentation on finite sample spaces
    • Rosenthal, J. S. (1993), –Rates of Convergence for Data Augmentation on Finite Sample Spaces,— Annals ofApplied Probability, 3, 819-839.
    • (1993) Annals Ofapplied Probability , vol.3 , pp. 819-839
    • Rosenthal, J.S.1
  • 44
    • 84923618271 scopus 로고
    • Minorization conditions and convergence rates for markov chain monte carlo
    • Rosenthal, J. S. (1995a), –Minorization Conditions and Convergence Rates for Markov Chain Monte Carlo,— Journal of the American Statistical Association, 90, 558-566.
    • (1995) Journal of the American Statistical Association , vol.90 , pp. 558-566
    • Rosenthal, J.S.1
  • 45
    • 0001096889 scopus 로고
    • Rates of convergence for gibbs sampling for variance component models
    • Rosenthal, J. S. (1995b), –Rates of Convergence for Gibbs Sampling for Variance Component Models,— Annals of Statistics, 23, 740-761.
    • (1995) Annals of Statistics , vol.23 , pp. 740-761
    • Rosenthal, J.S.1
  • 48
    • 0020130305 scopus 로고
    • Detecting initialization bias in simulation output
    • Schruben, L. W, (1982) –Detecting Initialization Bias in Simulation Output,— Operations Research, 30, 569-590.
    • (1982) Operations Research , vol.30 , pp. 569-590
    • Schruben, L.W.1
  • 49
    • 0020848271 scopus 로고
    • Optimal tests for initialization bias in simulation output
    • Schruben, L., Singh, H., and Tierney, L. (1983), –Optimal Tests for Initialization Bias in Simulation Output,— Operations Research, 31, 11671-178.
    • (1983) Operations Research , vol.31 , pp. 11671-12178
    • Schruben, L.1    Singh, H.2    Tierney, L.3
  • 50
    • 0000605742 scopus 로고    scopus 로고
    • Computation on bayesian graphical models
    • J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press, to appear
    • Spiegelhalter, D. J., Thomas, A., and Best, N. G. (1996), –Computation on Bayesian Graphical Models,— in Bayesian Statistics 5, eds. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Oxford University Press, to appear.
    • (1996) Bayesian Statistics , vol.5
    • Spiegelhalter, D.J.1    Thomas, A.2    Best, N.G.3
  • 52
    • 33747349191 scopus 로고
    • Nonuniversal critical dynamics in monte carlo simulations
    • Swendsen, R. YH., and Wang, I.-S. (1987), –Nonuniversal Critical Dynamics in Monte Carlo Simulations,— Physics Review Letters, 58, 86-88.
    • (1987) Physics Review Letters , vol.58 , pp. 86-88
    • Swendsen, R.1    Wang, I.-S.2
  • 53
    • 0001279441 scopus 로고
    • Bugs: A program to perform bayesian inference using gibbs sampling
    • J. M. Bernardo, I. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Clarendon Press
    • Thomas, A., Spiegelhalter, D. J., and Gilks, W R. (1992), –BUGS: A Program to Perform Bayesian Inference Using Gibbs Sampling. — in Bayesian Statistics 4, eds. J. M. Bernardo, I. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U. K.: Clarendon Press, pp. 837-842.
    • (1992) Bayesian Statistics , vol.4 , pp. 837-842
    • Thomas, A.1    Spiegelhalter, D.J.2    Gilks, W.R.3
  • 54
    • 85011181115 scopus 로고
    • Markov chains for exploring posterior distributions
    • Tierney, L. (1994), –Markov Chains for Exploring Posterior Distributions— (with discussion), The Annals of Statistics, 22, 1701-1762.
    • (1994) (With Discussion), the Annals of Statistics , vol.22 , pp. 1701-1762
    • Tierney, L.1


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