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Volumn , Issue , 2011, Pages 253-294

The data augmentation algorithm: Theory and methodology

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EID: 84873662740     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter
Times cited : (44)

References (47)
  • 2
    • 0000576596 scopus 로고
    • Comment on "Markov chains for exploring posterior distributions" by L
    • Chan, K. S. and Geyer, C. J. 1994. Comment on "Markov chains for exploring posterior distributions" by L. Tierney. Annals of Statistics, 22:1747-1758
    • (1994) Tierney. Annals of Statistics , vol.22 , pp. 1747-1758
    • Chan, K.S.1    Geyer, C.J.2
  • 3
    • 23044522526 scopus 로고    scopus 로고
    • Propriety of posterior distribution for dichotomous quantal response models
    • Chen, M.-H. and Shao, Q.-M. 2000. Propriety of posterior distribution for dichotomous quantal response models. Proceedings of the American Mathematical Society, 129:293-302
    • (2000) Proceedings of the American Mathematical Society , vol.129 , pp. 293-302
    • Chen, M.-H.1    Shao, Q.-M.2
  • 5
    • 0002740591 scopus 로고
    • Geometric bounds for eigenvalues of Markov chains
    • Diaconis, P. and Stroock, D. 1991. Geometric bounds for eigenvalues of Markov chains. Annals of Applied Probability, 1:36-61
    • (1991) Annals of Applied Probability , vol.1 , pp. 36-61
    • Diaconis, P.1    Stroock, D.2
  • 6
    • 50849137884 scopus 로고    scopus 로고
    • Gibbs sampling, exponential families and orthogonal polynomials (with discussion)
    • Diaconis, P., Khare, K., and Saloff-Coste, L. 2008. Gibbs sampling, exponential families and orthogonal polynomials (with discussion). Statistical Science, 23:151-200
    • (2008) Statistical Science , vol.23 , pp. 151-200
    • Diaconis, P.1    Khare, K.2    Saloff-Coste, L.3
  • 7
    • 0003613144 scopus 로고
    • Group Invariance Applications in Statistics
    • Hayward, CA, and American Statistical Association, Alexandria, VA
    • Eaton, M. L. 1989. Group Invariance Applications in Statistics. Institute of Mathematical Statistics, Hayward, CA, and American Statistical Association, Alexandria, VA
    • (1989) Institute of Mathematical Statistics
    • Eaton, M.L.1
  • 8
    • 33746447668 scopus 로고    scopus 로고
    • Multivariate Student-t regression models: Pitfalls and inference
    • Fernández, C. and Steel, M. F. J. 1999. Multivariate Student-t regression models: Pitfalls and inference. Biometrika, 86:153-167
    • (1999) Biometrika , vol.86 , pp. 153-167
    • Fernández, C.1    Steel, M.F.J.2
  • 10
    • 50849118196 scopus 로고    scopus 로고
    • Markov chain Monte Carlo: Can we trust the third significant figure?
    • Flegal, J. M., Haran, M., and Jones, G. L. 2008. Markov chain Monte Carlo: Can we trust the third significant figure? Statistical Science, 23:250-260
    • (2008) Statistical Science , vol.23 , pp. 250-260
    • Flegal, J.M.1    Haran, M.2    Jones, G.L.3
  • 11
    • 84972511893 scopus 로고
    • Practical Markov chain Monte Carlo (with discussion)
    • Geyer, C. J. 1992. Practical Markov chain Monte Carlo (with discussion). Statistical Science, 7:473-511
    • (1992) Statistical Science , vol.7 , pp. 473-511
    • Geyer, C.J.1
  • 12
    • 34547835365 scopus 로고    scopus 로고
    • A theoretical comparison of the data augmentation, marginal augmentation and PX-DA algorithms
    • Hobert, J. P. and Marchev, D. 2008. A theoretical comparison of the data augmentation, marginal augmentation and PX-DA algorithms. Annals of Statistics, 36:532-554
    • (2008) Annals of Statistics , vol.36 , pp. 532-554
    • Hobert, J.P.1    Marchev, D.2
  • 14
    • 2142780945 scopus 로고    scopus 로고
    • On the applicability of regenerative simulation in Markov chain Monte Carlo
    • Hobert, J. P., Jones, G. L., Presnell, B., and Rosenthal, J. S. 2002. On the applicability of regenerative simulation in Markov chain Monte Carlo. Biometrika, 89:731-743
    • (2002) Biometrika , vol.89 , pp. 731-743
    • Hobert, J.P.1    Jones, G.L.2    Presnell, B.3    Rosenthal, J.S.4
  • 15
    • 47249136410 scopus 로고    scopus 로고
    • When is Eaton's Markov chain irreducible?
    • Hobert, J. P., Tan, A., and Liu, R. 2007. When is Eaton's Markov chain irreducible? Bernoulli, 13:641-652
    • (2007) Bernoulli , vol.13 , pp. 641-652
    • Hobert, J.P.1    Tan, A.2    Liu, R.3
  • 16
    • 0000154395 scopus 로고    scopus 로고
    • Honest exploration of intractable probability distributions via Markov chain Monte Carlo
    • Jones, G. L. and Hobert, J. P. 2001. Honest exploration of intractable probability distributions via Markov chain Monte Carlo. Statistical Science, 16:312-34
    • (2001) Statistical Science , vol.16 , pp. 312-334
    • Jones, G.L.1    Hobert, J.P.2
  • 19
    • 0001789822 scopus 로고
    • Covariance structure of the Gibbs sampler with applications to 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 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
  • 20
    • 0000854270 scopus 로고
    • Covariance structure and convergence rate of the Gibbs sampler with various scans
    • Liu, J. S., Wong, W. H., and Kong, A. 1995. Covariance structure and convergence rate of the Gibbs sampler with various scans. Journal of the Royal Statistical Society, Series B, 57:157-169
    • (1995) Journal of the Royal Statistical Society, Series B , vol.57 , pp. 157-169
    • Liu, J.S.1    Wong, W.H.2    Kong, A.3
  • 21
    • 2142729827 scopus 로고    scopus 로고
    • Geometric ergodicity of van Dyk and Meng's algorithm for the multivariate Student's t model
    • Marchev, D. and Hobert, J. P. 2004. Geometric ergodicity of van Dyk and Meng's algorithm for the multivariate Student's t model. Journal of the American Statistical Association, 99:228-238
    • (2004) Journal of the American Statistical Association , vol.99 , pp. 228-238
    • Marchev, D.1    Hobert, J.P.2
  • 22
    • 0000761884 scopus 로고    scopus 로고
    • Seeking efficient data augmentation schemes via conditional and marginal augmentation
    • Meng, X.-L. and van Dyk, D. A. 1999. Seeking efficient data augmentation schemes via conditional and marginal augmentation. Biometrika, 86:301-320
    • (1999) Biometrika , vol.86 , pp. 301-320
    • Meng, X.-L.1    van Dyk, D.A.2
  • 24
    • 0000566364 scopus 로고
    • Computable bounds for geometric convergence rates of Markov chains
    • Meyn, S. P. and Tweedie, R. L. 1994. Computable bounds for geometric convergence rates of Markov chains. Annals of Applied Probability, 4:981-1011
    • (1994) Annals of Applied Probability , vol.4 , pp. 981-1011
    • Meyn, S.P.1    Tweedie, R.L.2
  • 27
    • 1642370803 scopus 로고    scopus 로고
    • Slice sampling (with discussion)
    • Neal, R. M. 2003. Slice sampling (with discussion). Annals of Statistics, 31:705-767
    • (2003) Annals of Statistics , vol.31 , pp. 705-767
    • Neal, R.M.1
  • 30
    • 0001153986 scopus 로고
    • Simulation of truncated normal variables
    • Robert, C. P. 1995. Simulation of truncated normal variables. Statistics and Computing, 5:121-125
    • (1995) Statistics and Computing , vol.5 , pp. 121-125
    • Robert, C.P.1
  • 31
    • 43949153069 scopus 로고
    • Simple conditions for the convergence of the Gibbs sampler and Metropolis-Hastings algorithms
    • Roberts, G. and Smith, A. F. M. 1994. Simple conditions for the convergence of the Gibbs sampler and Metropolis-Hastings algorithms. Stochastic Processes and Their Applications, 49:207-216
    • (1994) Stochastic Processes and Their Applications , vol.49 , pp. 207-216
    • Roberts, G.1    Smith, A.F.M.2
  • 34
    • 84890736685 scopus 로고    scopus 로고
    • General state space Markov chains and MCMC algorithms
    • Roberts, G. O. and Rosenthal, J. S. 2004. General state space Markov chains and MCMC algorithms. Probability Surveys, 1:20-71
    • (2004) Probability Surveys , vol.1 , pp. 20-71
    • Roberts, G.O.1    Rosenthal, J.S.2
  • 35
    • 33846859066 scopus 로고    scopus 로고
    • Harris recurrence of Metropolis-within-Gibbs and transdimensional Markov chains
    • Roberts, G. O. and Rosenthal, J. S. 2006. Harris recurrence of Metropolis-within-Gibbs and transdimensional Markov chains. Annals of Applied Probability, 16:2123-2139
    • (2006) Annals of Applied Probability , vol.16 , pp. 2123-2139
    • Roberts, G.O.1    Rosenthal, J.S.2
  • 36
    • 0013046167 scopus 로고    scopus 로고
    • Geometric L2 and L1 convergence are equivalent for reversible Markov chains
    • Roberts, G. O. and Tweedie, R. L. 2001. Geometric L2 and L1 convergence are equivalent for reversible Markov chains. Journal of Applied Probability, 38A:37-41
    • (2001) Journal of Applied Probability , vol.38A , pp. 37-41
    • Roberts, G.O.1    Tweedie, R.L.2
  • 37
    • 84923618271 scopus 로고
    • Minorization conditions and convergence rates for Markov chain Monte Carlo
    • Rosenthal, J. S. 1995. 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
  • 38
    • 0037364893 scopus 로고    scopus 로고
    • Asymptotic variance and convergence rates of nearly-periodic MCMC algorithms
    • Rosenthal, J. S. 2003. Asymptotic variance and convergence rates of nearly-periodic MCMC algorithms. Journal of the American Statistical Association, 98:169-177
    • (2003) Journal of the American Statistical Association , vol.98 , pp. 169-177
    • Rosenthal, J.S.1
  • 40
    • 34547837457 scopus 로고    scopus 로고
    • Convergence rates and asymptotic standard errors for Markov chain Monte Carlo algorithms for Bayesian probit regression
    • Roy, V. and Hobert, J. P. 2007. Convergence rates and asymptotic standard errors for Markov chain Monte Carlo algorithms for Bayesian probit regression. Journal of the Royal Statistical Society, Series B, 69:607-623
    • (2007) Journal of the Royal Statistical Society, Series B , vol.69 , pp. 607-623
    • Roy, V.1    Hobert, J.P.2
  • 41
  • 42
    • 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
  • 44
    • 72449129941 scopus 로고    scopus 로고
    • Block Gibbs sampling for Bayesian random effects models with improper priors: Convergence and regeneration
    • Tan, A. and Hobert, J. P. 2009. Block Gibbs sampling for Bayesian random effects models with improper priors: Convergence and regeneration. Journal of Computational and Graphical Statistics, 18:861-878
    • (2009) Journal of Computational and Graphical Statistics , vol.18 , pp. 861-878
    • Tan, A.1    Hobert, J.P.2
  • 45
    • 84950758368 scopus 로고
    • The calculation of posterior distributions by data augmentation (with discussion)
    • Tanner, M. A. and Wong, W. H. 1987. The calculation of posterior distributions by data augmentation (with discussion). Journal of the American Statistical Association, 82:528-550
    • (1987) Journal of the American Statistical Association , vol.82 , pp. 528-550
    • Tanner, M.A.1    Wong, W.H.2
  • 46
    • 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


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