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Volumn 84, Issue 4, 2014, Pages 833-849

A Hellinger distance approach to MCMC diagnostics

Author keywords

Bayesian robustness; Hellinger distance; kernel density estimation; Markov chain Monte Carlo

Indexed keywords


EID: 84893502233     PISSN: 00949655     EISSN: 15635163     Source Type: Journal    
DOI: 10.1080/00949655.2012.729588     Document Type: Article
Times cited : (32)

References (36)
  • 1
    • 0020130305 scopus 로고
    • Detecting initialization Bias in simulation output
    • L.W. Schruben, Detecting initialization Bias in simulation output, Oper. Res. 30(3) (1982), pp. 569-590. doi: 10.1287/opre.30.3.569
    • (1982) Oper. Res , vol.30 , Issue.3 , pp. 569-590
    • Schruben, L.W.1
  • 2
    • 0020846587 scopus 로고
    • Confidence interval estimate from standardized simulation output
    • L.W. Schruben, Confidence interval estimate from standardized simulation output, Oper. Res. 31 (1983), pp. 1090-1108. doi: 10.1287/opre.31.6.1090
    • (1983) Oper. Res , vol.31 , pp. 1090-1108
    • Schruben, L.W.1
  • 3
    • 0020848271 scopus 로고
    • Optimal tests for initialization bias in simulation output
    • L.W. Schruben, H. Singh, and L. Tierney, Optimal tests for initialization bias in simulation output, Oper. Res. 31(6) (1983), pp. 1167-1178. doi: 10.1287/opre.31.6.1167
    • (1983) Oper. Res , vol.31 , Issue.6 , pp. 1167-1178
    • Schruben, L.W.1    Singh, H.2    Tierney, L.3
  • 4
    • 84972492387 scopus 로고
    • Inference from iterative simulation using multiple sequences
    • A. Gelman and D.B. Rubin, Inference from iterative simulation using multiple sequences, Statist. Sci. 7 (1992), pp. 457-472. doi: 10.1214/ss/1177011136
    • (1992) Statist. Sci , vol.7 , pp. 457-472
    • Gelman, A.1    Rubin, D.B.2
  • 5
    • 0043096621 scopus 로고    scopus 로고
    • Convergence assessment techniques for Markov chain Monte Carlo
    • S.P. Brooks and G.O. Roberts, Convergence assessment techniques for Markov chain Monte Carlo, Statist. Comput. 8 (1998), pp. 319-335. doi: 10.1023/A:1008820505350
    • (1998) Statist. Comput , vol.8 , pp. 319-335
    • Brooks, S.P.1    Roberts, G.O.2
  • 6
    • 0032273615 scopus 로고    scopus 로고
    • Alternative methods for monitoring convergence of iterative simulations
    • S.P. Brooks and A. Gelman, Alternative methods for monitoring convergence of iterative simulations, J. Comput. Graphical Statist. 7 (1998), pp. 434-455.
    • (1998) J. Comput. Graphical Statist , vol.7 , pp. 434-455
    • Brooks, S.P.1    Gelman, A.2
  • 8
    • 85059435623 scopus 로고    scopus 로고
    • Inference from simulations and monitoring convergence
    • In: Brooks S., Gelman A., Jones G., Meng X.L., editors: CRC Press, Boca Raton, FL, Boca Raton, FL
    • A. Gelman and K. Shirley, Inference from simulations and monitoring convergence, in Handbook of Markov Chain Monte Carlo, S. Brooks, A. Gelman, G. Jones, and X.L. Meng, eds., CRC Press, Boca Raton, FL, 2011, pp. 163-174.
    • (2011) Handbook of Markov Chain Monte Carlo , pp. 163-174
    • Gelman, A.1    Shirley, K.2
  • 9
    • 0001032163 scopus 로고
    • Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments
    • In: Bernardo J.M., Berger J.O., Dawid A.P., Smith A.F.M., editors: Oxford University Press, Oxford, Oxford
    • J. Geweke, Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments, in Bayesian Statistics 4, J.M. Bernardo, J.O. Berger, A.P. Dawid, and A.F.M. Smith, eds., Oxford University Press, Oxford, 1992, pp. 169-193.
    • (1992) Bayesian Statistics 4 , pp. 169-193
    • Geweke, J.1
  • 10
    • 33846101238 scopus 로고    scopus 로고
    • Fixed-width output analysis for Markov Chain Monte Carlo
    • G.L. Jones, M. Haran, B.S. Caffo, and R. Neath, Fixed-width output analysis for Markov Chain Monte Carlo, J. Amer. Statist. Assoc. 101(476) (2006), pp. 1537-1547. doi: 10.1198/016214506000000492
    • (2006) J. Amer. Statist. Assoc , vol.101 , Issue.476 , pp. 1537-1547
    • Jones, G.L.1    Haran, M.2    Caffo, B.S.3    Neath, R.4
  • 11
    • 50849118196 scopus 로고    scopus 로고
    • Markov Chain Monte Carlo: Can we trust the third significant figure?
    • J.M. Flegal, M. Haran, and G.L. Jones, Markov Chain Monte Carlo: Can we trust the third significant figure?, Statist. Sci. 23 (2008), pp. 250-260. doi: 10.1214/08-STS257
    • (2008) Statist. Sci , vol.23 , pp. 250-260
    • Flegal, J.M.1    Haran, M.2    Jones, G.L.3
  • 12
    • 77649301784 scopus 로고    scopus 로고
    • Batch means and spectral variance estimators in Markov chain Monte Carlo
    • J.M. Flegal and G.L. Jones, Batch means and spectral variance estimators in Markov chain Monte Carlo, Ann. Statist. 38(2) (2010), pp. 1034-1070. doi: 10.1214/09-AOS735
    • (2010) Ann. Statist , vol.38 , Issue.2 , pp. 1034-1070
    • Flegal, J.M.1    Jones, G.L.2
  • 13
    • 0021138606 scopus 로고
    • Quantile estimation in dependent sequences
    • P. Heidelberger and P.D. Welch, Quantile estimation in dependent sequences, Oper. Res. 32(1) (1984), pp. 185-209. doi: 10.1287/opre.32.1.185
    • (1984) Oper. Res , vol.32 , Issue.1 , pp. 185-209
    • Heidelberger, P.1    Welch, P.D.2
  • 14
    • 0000759236 scopus 로고
    • How many iterations in the Gibbs sampler?
    • In: Bernardo J.M., Smith A.F. M., Dawid A.P., Berger J.O., editors: Oxford University Press, Oxford, Oxford
    • A.E. Raftery and S.M. Lewis, How many iterations in the Gibbs sampler?, in Bayesian Statistics 4, J.M. Bernardo, A.F. M. Smith, A.P. Dawid, and J.O. Berger, eds., Oxford University Press, Oxford, 1992, 763-773.
    • (1992) Bayesian Statistics 4 , pp. 763-773
    • Raftery, A.E.1    Lewis, S.M.2
  • 15
    • 0041438105 scopus 로고    scopus 로고
    • Looking at Markov samplers through CUSUM path plots: A simple diagnostic idea
    • B. Yu and P.A. Mykland, Looking at Markov samplers through CUSUM path plots: A simple diagnostic idea, Statist. Comput. 8 (1998), pp. 275-286. doi: 10.1023/A:1008917713940
    • (1998) Statist. Comput , vol.8 , pp. 275-286
    • Yu, B.1    Mykland, P.A.2
  • 16
    • 0000569335 scopus 로고
    • Convergence diagnostics of the Gibbs sampler
    • In: Bernardo J.M., Smith A.F.M., Dawid A.P., Berger J.O., editors: Oxford University Press, Oxford, Oxford
    • G.O. Roberts, Convergence diagnostics of the Gibbs sampler, in Bayesian Statistics 4, J.M. Bernardo, A.F.M. Smith, A.P. Dawid, and J.O. Berger, eds., Oxford University Press, Oxford, 1992, pp. 775-782.
    • (1992) Bayesian Statistics 4 , pp. 775-782
    • Roberts, G.O.1
  • 17
    • 0009000215 scopus 로고
    • Methods for estimating L2 convergence of Markov chain Monte Carlo
    • In: Berry D.A., Chaloner K.M., Geweke J.K., editors: North Holland, Amsterdam, Amsterdam
    • G.O. Roberts, Methods for estimating L2 convergence of Markov chain Monte Carlo, in Bayesian Statistics and Econometrics: Essays in Honor of Arnold Zellner, D.A. Berry, K.M. Chaloner, and J.K. Geweke, eds., North Holland, Amsterdam, 1994, 373-383.
    • (1994) Bayesian Statistics and Econometrics: Essays in Honor of Arnold Zellner , pp. 373-383
    • Roberts, G.O.1
  • 18
    • 0000940729 scopus 로고
    • Facilitating the Gibbs sampler: The Gibbs stopper and the griddy Gibbs sampler
    • C. Ritter and M.A. Tanner, Facilitating the Gibbs sampler: The Gibbs stopper and the griddy Gibbs sampler, J. Amer. Statist. Assoc. 87 (1992), pp. 861-868. doi: 10.1080/01621459.1992.10475289
    • (1992) J. Amer. Statist. Assoc , vol.87 , pp. 861-868
    • Ritter, C.1    Tanner, M.A.2
  • 19
    • 21844490354 scopus 로고
    • Gibbs sampler convergence criteria
    • A. Zellner and C. Min, Gibbs sampler convergence criteria, J. Amer. Statist. Assoc. 90 (1995), pp. 921-927. doi: 10.1080/01621459.1995.10476591
    • (1995) J. Amer. Statist. Assoc , vol.90 , pp. 921-927
    • Zellner, A.1    Min, C.2
  • 20
    • 0001789822 scopus 로고
    • Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes
    • J.S. Liu, W.H. Wong, and A. Kong, Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes, Biometrika 81 (1994), pp. 27-40. doi: 10.1093/biomet/81.1.27
    • (1994) Biometrika , vol.81 , pp. 27-40
    • Liu, J.S.1    Wong, W.H.2    Kong, A.3
  • 21
    • 0345942527 scopus 로고
    • Convergence diagnostics for Markov chain samplers
    • Tech. Rep, Department of Statistics, University of North Carolina
    • S.T. Garren and R.L. Smith, Convergence diagnostics for Markov chain samplers, Tech. Rep., Department of Statistics, University of North Carolina, 1993.
    • (1993)
    • Garren, S.T.1    Smith, R.L.2
  • 22
    • 0001307109 scopus 로고    scopus 로고
    • Studying convergence of Markov chain Monte Carlo Algorithms using coupled sample paths
    • V.E. Johnson, Studying convergence of Markov chain Monte Carlo Algorithms using coupled sample paths, J. Amer. Statist. Assoc. 91 (1996), pp. 154-166. doi: 10.1080/01621459.1996.10476672
    • (1996) J. Amer. Statist. Assoc , vol.91 , pp. 154-166
    • Johnson, V.E.1
  • 23
    • 21844481621 scopus 로고
    • Regeneration in Markov chain samplers
    • P. Mykland, L. Tierney, and B. Yu, Regeneration in Markov chain samplers, J. Amer. Statist. Assoc. 90 (1995), pp. 233-241. doi: 10.1080/01621459.1995.10476507
    • (1995) J. Amer. Statist. Assoc , vol.90 , pp. 233-241
    • Mykland, P.1    Tierney, L.2    Yu, B.3
  • 24
    • 0043194905 scopus 로고
    • Estimating the L1 error of kernel estimators based on Markov samplers
    • Tech. Rep. 409,: Statistics Department, University of California, Berkeley, Berkeley
    • B. Yu, Estimating the L1 error of kernel estimators based on Markov samplers, Tech. Rep. 409, Statistics Department, University of California, Berkeley, 1994.
    • (1994)
    • Yu, B.1
  • 25
    • 0020850136 scopus 로고
    • Simulation run length control in the presence of an initial transient
    • P. Heidelberger and P.D. Welch, Simulation run length control in the presence of an initial transient, Oper. Res. 31(6) (1983), pp. 1109-1144. doi: 10.1287/opre.31.6.1109
    • (1983) Oper. Res , vol.31 , Issue.6 , pp. 1109-1144
    • Heidelberger, P.1    Welch, P.D.2
  • 26
    • 0141688093 scopus 로고    scopus 로고
    • Efficient construction of reversible Jump Markov Chain Monte Carlo proposal distributions
    • S.P. Brooks, P. Giudici, and G.O. Roberts, Efficient construction of reversible Jump Markov Chain Monte Carlo proposal distributions, J. Roy. Statist. Soc. Ser. B 65 (2003), pp. 3-55. doi: 10.1111/1467-9868.03711
    • (2003) J. Roy. Statist. Soc. Ser. B , vol.65 , pp. 3-55
    • Brooks, S.P.1    Giudici, P.2    Roberts, G.O.3
  • 27
    • 0030539336 scopus 로고    scopus 로고
    • Markov Chain Monte Carlo convergence diagnostics: A comparative review
    • M.K. Cowles and B.P. Carlin, Markov Chain Monte Carlo convergence diagnostics: A comparative review, J. Amer. Statist. Assoc. 91 (1996), pp. 883-904. doi: 10.1080/01621459.1996.10476956
    • (1996) J. Amer. Statist. Assoc , vol.91 , pp. 883-904
    • Cowles, M.K.1    Carlin, B.P.2
  • 29
    • 0037349687 scopus 로고    scopus 로고
    • Nonparametric convergence assessment for MCMC model selection
    • S.P. Brooks, P. Giudici, and A. Philippe, Nonparametric convergence assessment for MCMC model selection, J. Comput. Graph. Statist. 12 (2003), pp. 1-22. doi: 10.1198/1061860031347
    • (2003) J. Comput. Graph. Statist , vol.12 , pp. 1-22
    • Brooks, S.P.1    Giudici, P.2    Philippe, A.3
  • 31
    • 19744372074 scopus 로고    scopus 로고
    • Subsample distribution distance and MCMC convergence
    • U. Hjorth and A. Vadeby, Subsample distribution distance and MCMC convergence, Scand. J. Statist. 32 (2005), pp. 313-326. doi: 10.1111/j.1467-9469.2005.00424.x
    • (2005) Scand. J. Statist , vol.32 , pp. 313-326
    • Hjorth, U.1    Vadeby, A.2
  • 33
    • 29344457396 scopus 로고    scopus 로고
    • Kernel estimation for stationary density of Markov chains with general state space
    • V.S.M. Campos and C.C.Y. Dorea, Kernel estimation for stationary density of Markov chains with general state space, Ann. Inst. Statist. Math. 57 (2005), pp. 443-453. doi: 10.1007/BF02509234
    • (2005) Ann. Inst. Statist. Math , vol.57 , pp. 443-453
    • Campos, V.S.M.1    Dorea, C.C.Y.2
  • 34
    • 44849118698 scopus 로고    scopus 로고
    • A working guide to boosted regression trees
    • J. Elith, J.R. Leathwick, and T. Hastie, A working guide to boosted regression trees, J. Appl. Ecol. 77(4) (2008), pp. 802-813. doi: 10.1111/j.1365-2656.2008.01390.x
    • (2008) J. Appl. Ecol , vol.77 , Issue.4 , pp. 802-813
    • Elith, J.1    Leathwick, J.R.2    Hastie, T.3
  • 35
    • 84860230931 scopus 로고    scopus 로고
    • dismo: Species distribution modeling
    • R package version 0.7-17, 2012. Available at
    • R.J. Hijmans, S. Phillips, J. Leathwick, and J. Elith, dismo: Species distribution modeling. R package version 0.7-17, 2012. Available at http://CRAN.R-project.org/package=dismo
    • Hijmans, R.J.1    Phillips, S.2    Leathwick, J.3    Elith, J.4
  • 36
    • 44849128126 scopus 로고    scopus 로고
    • Dispersal, disturbance and the contrasting biogeographies of New Zealand's diadromous and non-diadromous fish species
    • J.R. Leathwick, J. Elith, W.L. Chadderton, D. Rowe, and T. Hastie, Dispersal, disturbance and the contrasting biogeographies of New Zealand's diadromous and non-diadromous fish species, J. Biogeogr. 35 (2008), pp. 1481-1497. doi: 10.1111/j.1365-2699.2008.01887.x
    • (2008) J. Biogeogr , vol.35 , pp. 1481-1497
    • Leathwick, J.R.1    Elith, J.2    Chadderton, W.L.3    Rowe, D.4    Hastie, T.5


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