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Volumn 83, Issue 1, 1996, Pages 95-110

Geometric convergence and central limit theorems for multidimensional Hastings and Metropolis algorithms

Author keywords

Geometric ergodicity; Gibbs sampling; Hastings algorithm; Irreducible Markov process; Markov chain Monte Carlo; Metropolis algorithm; Posterior distribution

Indexed keywords


EID: 33746388444     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/83.1.95     Document Type: Article
Times cited : (342)

References (12)
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  • 2
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  • 3
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    • Comment on paper by L. Tierney
    • CHAN, K. S. & GEYER, C. J. (1994). Comment on paper by L. Tierney. Ann. Statist. 22, 1747-57.
    • (1994) Ann. Statist. , vol.22 , pp. 1747-1757
    • Chan, K.S.1    Geyer, C.J.2
  • 4
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    • 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
  • 5
    • 0030551974 scopus 로고    scopus 로고
    • Rates of convergence of the Hastings and Metropolis algorithms
    • To appear
    • MENGERSEN, K. L. & TWEEDIE, R. L. (1996). Rates of convergence of the Hastings and Metropolis algorithms. Ann. Statist. 24. To appear.
    • (1996) Ann. Statist. , vol.24
    • Mengersen, K.L.1    Tweedie, R.L.2
  • 8
    • 0000481620 scopus 로고
    • A note on the geometric convergence of the Gibbs sampler
    • ROBERTS, G. O. & POLSON, N. G. (1994). A note on the geometric convergence of the Gibbs sampler. J. R. Statist. Soc. B 56, 377-84.
    • (1994) J. R. Statist. Soc. B , vol.56 , pp. 377-384
    • Roberts, G.O.1    Polson, N.G.2
  • 9
    • 43949153069 scopus 로고
    • Simple conditions for the convergence of the Gibbs sampler and Hastings-Metropolis algorithms
    • ROBERTS, G. O. & SMITH, A. F. M. (1994). Simple conditions for the convergence of the Gibbs sampler and Hastings-Metropolis algorithms. Stoch. Proces. Applic. 49, 207-16.
    • (1994) Stoch. Proces. Applic. , vol.49 , pp. 207-216
    • Roberts, G.O.1    Smith, A.F.M.2
  • 10
    • 0003174553 scopus 로고
    • Bayesian statistics without tears: A sampling-resampling perspective
    • SMITH, A. F. M. & GELFAND, A. E. (1992). Bayesian statistics without tears: A sampling-resampling perspective. Am. Statistician 46, 84-8.
    • (1992) Am. Statistician , vol.46 , pp. 84-88
    • Smith, A.F.M.1    Gelfand, A.E.2
  • 11
    • 0003053548 scopus 로고
    • Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods
    • SMITH, A. F. M. & ROBERTS, G. O. (1993). Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods (with Discussion). J. R. Statist. Soc. B 55, 3-24.
    • (1993) J. R. Statist. Soc. B , vol.55 , pp. 3-24
    • Smith, A.F.M.1    Roberts, G.O.2
  • 12
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    • Exploring posterior distributions using Markov chains
    • TIERNEY, L. (1994). Exploring posterior distributions using Markov chains. Ann. Statist. 22, 1701-27.
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    • Tierney, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.