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Volumn 69, Issue 1, 2001, Pages 27-48

A guide to exact simulation

Author keywords

Coupling from the past; Efficient sampling; Exact simulation; Fill's algorithm; Forward coupling; Ising model; MCMC

Indexed keywords


EID: 0035297747     PISSN: 03067734     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1751-5823.2001.tb00478.x     Document Type: Review
Times cited : (23)

References (42)
  • 1
    • 0026840621 scopus 로고
    • Stationary detection in the initial transient problem
    • Asmussen, S., Glynn, P.W. & Thorisson, H. (1992). Stationary detection in the initial transient problem. ACM Trans. Model. Comput., 2(2), 130-157.
    • (1992) ACM Trans. Model. Comput. , vol.2 , Issue.2 , pp. 130-157
    • Asmussen, S.1    Glynn, P.W.2    Thorisson, H.3
  • 3
    • 0043096621 scopus 로고    scopus 로고
    • Assessing convergence of Markov chain Monte Carlo algorithms
    • Brooks, S. & Roberts, G. (1999). Assessing convergence of Markov chain Monte Carlo algorithms. Statist. Comput., 8, 319-335.
    • (1999) Statist. Comput. , vol.8 , pp. 319-335
    • Brooks, S.1    Roberts, G.2
  • 5
    • 0030539336 scopus 로고    scopus 로고
    • Markov Chain Monte-Carlo convergence diagnostics: A comparative study
    • Cowles, M. & Carlin, B. (1996). Markov Chain Monte-Carlo convergence diagnostics: A comparative study. J. Amer. Statist. Assoc., 91, 883-904.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 883-904
    • Cowles, M.1    Carlin, B.2
  • 6
    • 0002007593 scopus 로고
    • Exposé de la theorie des chaînes simples constantes de Markov à un nombre fini d'états
    • Doeblin, W. (1938). Exposé de la theorie des chaînes simples constantes de Markov à un nombre fini d'états. Rev. Math. Union Interbalkanique, 2, 77-105.
    • (1938) Rev. Math. Union Interbalkanique , vol.2 , pp. 77-105
    • Doeblin, W.1
  • 7
    • 0032396902 scopus 로고    scopus 로고
    • An interruptible algorithm for perfect sampling via Markov chains
    • Fill, J.A. (1998). An interruptible algorithm for perfect sampling via Markov chains. Ann. Appl. Probab, 8, 131-162.
    • (1998) Ann. Appl. Probab , vol.8 , pp. 131-162
    • Fill, J.A.1
  • 9
    • 0003719875 scopus 로고    scopus 로고
    • Technical Report 6/98. Department of Mathematical Sciences, Norwegian University of Technology. Diploma-thesis
    • Fismen, M. (1998). Exact simulation using Markov chains. Technical Report 6/98. Department of Mathematical Sciences, Norwegian University of Technology. Diploma-thesis.
    • (1998) Exact Simulation Using Markov Chains
    • Fismen, M.1
  • 10
    • 21344489145 scopus 로고
    • A dynamical phase transition in a caricature of a spin glass
    • Frigessi, A. & Den Hollander, F. (1993). A dynamical phase transition in a caricature of a spin glass. J. Statist. Physics, 75, 585-625.
    • (1993) J. Statist. Physics , vol.75 , pp. 585-625
    • Frigessi, A.1    Den Hollander, F.2
  • 11
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions, and the bayesian restoration of images
    • Geman, S. & Geman, D. (1984). Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images. IEEE Trans. Pattn. Anal. Mach. Intel., 6, 721-741.
    • (1984) IEEE Trans. Pattn. Anal. Mach. Intel. , vol.6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 12
    • 0001638775 scopus 로고    scopus 로고
    • Exact sampling for Bayesian inference: Towards general purpose algorithms
    • Eds. J. Bernardo, J. Berger, A. Dawid & A. Smith, Oxford: Oxford University Press
    • Green. P.J. & Murdoch. D.J. (1999). Exact sampling for Bayesian inference: Towards general purpose algorithms. In Bayesian Statistics 6, Eds. J. Bernardo, J. Berger, A. Dawid & A. Smith, pp. 301-321. Oxford: Oxford University Press.
    • (1999) Bayesian Statistics , vol.6 , pp. 301-321
    • Green, P.J.1    Murdoch, D.J.2
  • 13
    • 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
  • 14
    • 0041181008 scopus 로고    scopus 로고
    • Exact sampling from anti-monotone systems
    • Häggström, O. & Nelander, K. (1998). Exact sampling from anti-monotone systems. Statist. Neerlandica, 52, 360-380.
    • (1998) Statist. Neerlandica , vol.52 , pp. 360-380
    • Häggström, O.1    Nelander, K.2
  • 15
    • 0033244550 scopus 로고    scopus 로고
    • On exact simulation of Markov random fields using coupling from the past
    • Häggström, O. & Nelander, K. (1999). On exact simulation of Markov random fields using coupling from the past. Scand. J. Statist, 26, 395-411.
    • (1999) Scand. J. Statist , vol.26 , pp. 395-411
    • Häggström, O.1    Nelander, K.2
  • 16
    • 84988298069 scopus 로고    scopus 로고
    • Characterisation results and Markov chain Monte Carlo algorithms including exact simulation for some spatial point processes
    • Häggström, O., van Lieshout, M.N.M. & Møller, J. (1999). Characterisation results and Markov chain Monte Carlo algorithms including exact simulation for some spatial point processes. Bernoulli, 5, 641-658.
    • (1999) Bernoulli , vol.5 , pp. 641-658
    • Häggström, O.1    Van Lieshout, M.N.M.2    Møller, J.3
  • 17
    • 0001307109 scopus 로고    scopus 로고
    • Studying convergence of Markov chain Monte Carlo algorithms using coupled sample paths
    • Johnson, V.E. (1996). Studying convergence of Markov chain Monte Carlo algorithms using coupled sample paths. J. Amer. Statist. Assoc., 91(433), 154-166.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , Issue.433 , pp. 154-166
    • Johnson, V.E.1
  • 18
    • 0002559799 scopus 로고    scopus 로고
    • On some weighted Boolean models
    • Ed. D. Jeulin, Singapore: World Scientific Publishing Company
    • Kendall, W.S. (1997). On some weighted Boolean models. In Advances in Theory and Applications of Random Sets, Ed. D. Jeulin, pp. 105-120. Singapore: World Scientific Publishing Company.
    • (1997) Advances in Theory and Applications of Random Sets , pp. 105-120
    • Kendall, W.S.1
  • 19
    • 0000931378 scopus 로고    scopus 로고
    • Perfect simulation for the area-interaction point process
    • Eds. C. Heyde & L. Accardi, New York: Springer-Verlag
    • Kendall, W.S. (1998). Perfect simulation for the area-interaction point process. In Probability Towards 2000, Eds. C. Heyde & L. Accardi, pp. 218-234. New York: Springer-Verlag.
    • (1998) Probability Towards 2000 , pp. 218-234
    • Kendall, W.S.1
  • 20
    • 0034264679 scopus 로고    scopus 로고
    • Perfect metropolis-hastings simulation of locally stable point processes
    • Kendall, W.S. & Møller, J. (2000). Perfect Metropolis-Hastings simulation of locally stable point processes. Advances in Applied Probability, 32, 844-865.
    • (2000) Advances in Applied Probability , vol.32 , pp. 844-865
    • Kendall, W.S.1    Møller, J.2
  • 21
    • 0344631543 scopus 로고    scopus 로고
    • Perfect simulation in stochastic geometry
    • Kendall, W.S. & Thönnes, E. (1999). Perfect simulation in stochastic geometry. Pattern Recognition, 32(9), 1569-1586.
    • (1999) Pattern Recognition , vol.32 , Issue.9 , pp. 1569-1586
    • Kendall, W.S.1    Thönnes, E.2
  • 23
    • 0003196660 scopus 로고
    • Exact mixing in an unknown Markov chain
    • Paper #R15
    • Lovász, L. & Winkler, P. (1995). Exact mixing in an unknown Markov chain. Electron. J. Combin., Paper #R15.
    • (1995) Electron. J. Combin.
    • Lovász, L.1    Winkler, P.2
  • 24
    • 0001204841 scopus 로고    scopus 로고
    • MCMC convergence diagnostics: "A reviewww"
    • Eds. J. Bernardo, J. Berger, A. Dawid & A. Smith, Oxford: Oxford University Press
    • Mengersen. K., Robert. C. & Guihenneuc-Jouyaux. C. (1999). MCMC Convergence Diagnostics: "A Reviewww". In Bayesian Statistics 6, Eds. J. Bernardo, J. Berger, A. Dawid & A. Smith, pp. 415-440. Oxford: Oxford University Press.
    • (1999) Bayesian Statistics 6 , pp. 415-440
    • Mengersen, K.1    Robert, C.2    Guihenneuc-Jouyaux, C.3
  • 27
    • 0033474280 scopus 로고    scopus 로고
    • Perfect simulation of conditionally specified models
    • Møller, J. (1999). Perfect simulation of conditionally specified models. J. Roy. Statist. Soc. Ser. B, 61(1), 251-264.
    • (1999) J. Roy. Statist. Soc. Ser. B , vol.61 , Issue.1 , pp. 251-264
    • Møller, J.1
  • 29
    • 0033476943 scopus 로고    scopus 로고
    • Extensions of Fill's algorithm for perfect simulation
    • Møller, J. & Schladitz, K. (1999). Extensions of Fill's algorithm for perfect simulation. J. Roy. Statist. Soc. Ser. B, 61(4), 955-969.
    • (1999) J. Roy. Statist. Soc. Ser. B , vol.61 , Issue.4 , pp. 955-969
    • Møller, J.1    Schladitz, K.2
  • 30
    • 0032363044 scopus 로고    scopus 로고
    • Exact sampling from a continuous state space
    • Murdoch, D.J. & Green, P.J. (1998). Exact sampling from a continuous state space. Scand. J. Statist, 25(3), 483-502.
    • (1998) Scand. J. Statist , vol.25 , Issue.3 , pp. 483-502
    • Murdoch, D.J.1    Green, P.J.2
  • 33
    • 0005193926 scopus 로고    scopus 로고
    • Exact sampling with coupled Markov chains and applications to statistical mechanics
    • Propp, J.G. & Wilson, D.B. (1996). Exact sampling with coupled Markov chains and applications to statistical mechanics. Random Structures Algorithms, 9(1&2), 223-252.
    • (1996) Random Structures Algorithms , vol.9 , Issue.1-2 , pp. 223-252
    • Propp, J.G.1    Wilson, D.B.2
  • 34
    • 0000082687 scopus 로고    scopus 로고
    • Coupling from the past: A user's guide
    • Eds. D. Aldous & J. Propp, of DlMACS Series in Discrete Mathematics and Theoretical Computer Science. American Mathematical Society
    • Propp, J. & Wilson, D. (1998a). Coupling from the past: A user's guide. In Microsurveys in Discrete Probability, Eds. D. Aldous & J. Propp, Vol. 41, pp. 181-192 of DlMACS Series in Discrete Mathematics and Theoretical Computer Science. American Mathematical Society.
    • (1998) Microsurveys in Discrete Probability , vol.41 , pp. 181-192
    • Propp, J.1    Wilson, D.2
  • 35
    • 0000162904 scopus 로고    scopus 로고
    • How to get a perfectly random sample from a generic Markov chain and generate a random spanning tree of a directed graph
    • Propp, J.G. & Wilson, D.B. (1998b). How to get a perfectly random sample from a generic Markov chain and generate a random spanning tree of a directed graph. J. Algorithms, 27, 170-217.
    • (1998) J. Algorithms , vol.27 , pp. 170-217
    • Propp, J.G.1    Wilson, D.B.2
  • 36
    • 0000759236 scopus 로고
    • How many iterations in the Gibbs sampler?
    • Eds. J. Bernardo, J. Berger, A. Dawid & A. Smith, Oxford: Oxford University Press
    • Raftery. A. & Lewis. S. (1992). How many iterations in the Gibbs sampler? In Bayesian Statistics 4, Eds. J. Bernardo, J. Berger, A. Dawid & A. Smith, pp. 765-776. Oxford: Oxford University Press.
    • (1992) Bayesian Statistics 4 , pp. 765-776
    • Raftery, A.1    Lewis, S.2
  • 37
    • 0003030680 scopus 로고    scopus 로고
    • Implementing MCMC
    • Eds. W. Gilks & D. Richardson and S.T. Spiegelhalter, London: Chapman and Hall
    • Raftery. A. & Lewis. S. (1996). Implementing MCMC. In Markov chain Monte-Carlo in Practice, Eds. W. Gilks & D. Richardson and S.T. Spiegelhalter, pp. 115-130. London: Chapman and Hall.
    • (1996) Markov Chain Monte-Carlo in Practice , pp. 115-130
    • Raftery, A.1    Lewis, S.2
  • 40
    • 0032593236 scopus 로고    scopus 로고
    • Perfect simulation of some point processes for the impatient user
    • Thönnes, E. (1999). Perfect simulation of some point processes for the impatient user. Adv. in Appl. Probab, 31(1), 69-87.
    • (1999) Adv. in Appl. Probab , vol.31 , Issue.1 , pp. 69-87
    • Thönnes, E.1
  • 41
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions
    • Tierney, L. (1994). Markov Chains for Exploring Posterior Distributions (with discussion). Ann. Statist., 22, 1701-1762.
    • (1994) Ann. Statist. , vol.22 , pp. 1701-1762
    • Tierney, L.1


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