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Simple conditions for the convergence of the Gibbs sampler and Metropolis-Hastings algorithms

  • Published:1994-02 Issue:2 Volume:49 Page:207-216
  • ISSN:0304-4149
  • Container-title:Stochastic Processes and their Applications
  • language:en
  • Short-container-title:Stochastic Processes and their Applications

Author:

Roberts G.O.,Smith A.F.M.

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference14 articles.

1. Spatial statistics and Bayesian computation;Besag;J. Roy. Statist. Soc. Ser. B,1993

2. Asymptotic behaviour of the Gibbs sampler;Chan;J. Amer. Statist. Assoc.,1993

3. Sampling-based approaches to calculating marginal densities;Gelfand;J. Amer. Statist. Assoc.,1990

4. Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images;Geman;IEEE Trans. Pattn. Anal. Mach. Intell.,1984

5. Practical Markov Chain Monte Carlo (with discussion);Geyer;Statist. Sci.,1993

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