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Volumn 29, Issue 1, 2002, Pages 1-12

Efficiency and convergence properties of slice samplers

Author keywords

Auxiliary variables; Efficiency of MCMC; Geometric ergodicity; Markov chain Monte Carlo; Metropolis Hastings algorithm; Peskun ordering; Uniform ergodicity

Indexed keywords


EID: 0036005408     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00032     Document Type: Article
Times cited : (58)

References (19)
  • 1
    • 0000103562 scopus 로고
    • Spatial statistics and Bayesian computation
    • Besag, J. & Green, P.J. (1993). Spatial statistics and Bayesian computation. J. Roy. Statist. Soc. Ser. B 55, 25-37.
    • (1993) J. Roy. Statist. Soc. Ser. B , vol.55 , pp. 25-37
    • Besag, J.1    Green, P.J.2
  • 2
    • 0033481108 scopus 로고    scopus 로고
    • Gibbs sampling for Bayesian nonconjugate and hierarchical models using auxiliary variable
    • Damien, P., Wakefield, J. & Walker, S. (1999). Gibbs sampling for Bayesian nonconjugate and hierarchical models using auxiliary variable. J. Roy. Statist. Soc. Ser. B 61, 331-344.
    • (1999) J. Roy. Statist. Soc. Ser. B , vol.61 , pp. 331-344
    • Damien, P.1    Wakefield, J.2    Walker, S.3
  • 3
    • 0001440863 scopus 로고
    • Generalization of the Fortium-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm
    • Edwards, R.G. & Sokal, A.D. (1988). Generalization of the Fortium-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm. Phys. Rev. D 38, 2009-2012.
    • (1988) Phys. Rev. D , vol.38 , pp. 2009-2012
    • Edwards, R.G.1    Sokal, A.D.2
  • 4
    • 84972511893 scopus 로고
    • Practical Markov chain Monte Carlo
    • Geyer, C.J. (1992). Practical Markov chain Monte Carlo. Statist. Sci. 7, 473-511.
    • (1992) Statist. Sci. , vol.7 , pp. 473-511
    • Geyer, C.J.1
  • 6
    • 0011295492 scopus 로고    scopus 로고
    • Contribution to the discussion of the EM algorithm an old folk-song to a fast new tune
    • X.L. Meng and D. van Dyk
    • Green, P.J. (1997). Contribution to the discussion of "the EM algorithm an old folk-song to a fast new tune" by X.L. Meng and D. van Dyk. J. Roy. Statist. Soc. Ser. B 59, 511-567.
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 511-567
    • Green, P.J.1
  • 7
    • 0032398552 scopus 로고    scopus 로고
    • Auxiliary variable methods for Markov chain Monte Carlo with applications
    • Higdon, D.M. (1998). Auxiliary variable methods for Markov chain Monte Carlo with applications. J. Amer. Statist. Assoc. 93, 585-595.
    • (1998) J. Amer. Statist. Assoc. , vol.93 , pp. 585-595
    • Higdon, D.M.1
  • 9
    • 21344458535 scopus 로고    scopus 로고
    • Metropolized independent sampling with comparisons to rejection sampling and importance sampling
    • Liu, J.S. (1996). Metropolized independent sampling with comparisons to rejection sampling and importance sampling. Statist. Comput. 6, 113-119.
    • (1996) Statist. Comput. , vol.6 , pp. 113-119
    • Liu, J.S.1
  • 10
    • 0000854270 scopus 로고
    • Correlation structure and convergence rate of the Gibbs sampler with various scans
    • Liu, S.J., Wong, W.H. & Kong, A. (1995). Correlation structure and convergence rate of the Gibbs sampler with various scans. J. Roy. Statist. Soc. Ser. B 57, 157-169.
    • (1995) J. Roy. Statist. Soc. Ser. B , vol.57 , pp. 157-169
    • Liu, S.J.1    Wong, W.H.2    Kong, A.3
  • 11
    • 0000262406 scopus 로고
    • A slowly mixing Markov chain with implications for the Gibbs sampler
    • Matthews, P. (1993). A slowly mixing Markov chain with implications for the Gibbs sampler. Statist. Probab. Lett. 17, 231-236.
    • (1993) Statist. Probab. Lett. , vol.17 , pp. 231-236
    • Matthews, P.1
  • 12
    • 0030551974 scopus 로고    scopus 로고
    • Rates of convergence of the Hastings and Metropolis algorithms
    • Mengersen, K.L. & Tweedie, R.L. (1996). Rates of convergence of the Hastings and Metropolis algorithms. Ann. Statist. 24, 101-121.
    • (1996) Ann. Statist. , vol.24 , pp. 101-121
    • Mengersen, K.L.1    Tweedie, R.L.2
  • 14
    • 0015730787 scopus 로고
    • Optimum Monte Carlo sampling using Markov chains
    • Peskun, P.H. (1973). Optimum Monte Carlo sampling using Markov chains. Biometrika 60, 607-612.
    • (1973) Biometrika , vol.60 , pp. 607-612
    • Peskun, P.H.1
  • 17
    • 33747349191 scopus 로고
    • Non-universal critical dynamics in Monte Carlo simulations
    • Swendsen, R.H. & Wang, J.S. (1987). Non-universal critical dynamics in Monte Carlo simulations. Phys. Rev. Lett. 58, 86-88.
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 86-88
    • Swendsen, R.H.1    Wang, J.S.2
  • 18
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions
    • Tierney, L. (1994). Markov chains for exploring posterior distributions. Ann. Statist. 22, 1701-1762.
    • (1994) Ann. Statist. , vol.22 , pp. 1701-1762
    • Tierney, L.1
  • 19
    • 0032382065 scopus 로고    scopus 로고
    • A note on Metropolis-Hastings kernels for general state spaces
    • Tierney, L. (1998). A note on Metropolis-Hastings kernels for general state spaces. Ann. Appl. Probab. 8, 1-9.
    • (1998) Ann. Appl. Probab. , vol.8 , pp. 1-9
    • Tierney, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.