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## Reversible jump Markov chain Monte Carlo computation and Bayesian model determination (1995)

Venue: | Biometrika |

Citations: | 1345 - 23 self |

### Citations

3626 | Equation of State Calculations by Fast Computing Machines.
- Metropolis, Rosenbluth, et al.
- 1953
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Citation Context ...ually Lebesgue; then methods for constructing suitable transition kernels are familiar. The two most popular methods are the Gibbs sampler (Geman and Geman, 1984), and the Metropolis-Hastings method (=-=Metropolis, et al., 1953-=-; Hastings, 1970). A full description and some comparisons can be found in Tierney (1994), Besag et al. (1995), and elsewhere. Briefly, each method proceeds by sweeping around all the variables x = (x... |

2087 |
Monte carlo sampling methods using markov chains and their applications.
- Hastings
- 1970
(Show Context)
Citation Context ...ds for constructing suitable transition kernels are familiar. The two most popular methods are the Gibbs sampler (Geman and Geman, 1984), and the Metropolis-Hastings method (Metropolis, et al., 1953; =-=Hastings, 1970-=-). A full description and some comparisons can be found in Tierney (1994), Besag et al. (1995), and elsewhere. Briefly, each method proceeds by sweeping around all the variables x = (x 1 ; x 2 ; : : :... |

370 | Model selection and accounting for model uncertainly in graphical models using Occam’s window. - Madigan, Raftery - 1994 |

255 | Bayesian Model Choice via Markov Chain Monte Carlo,’’ - Carlin, Chib - 1995 |

237 | Representations of knowledge in complex systems. - Grenander, Miller - 1994 |

233 | Image Processing, Analysis and Machine Vision. Second Edition. - Sonka, Hlavac, et al. - 1998 |

176 | Bayesian computation and stochastic systems (with discussion). - Besag, Green, et al. - 1995 |

143 |
Computing Dirichlet tesselations in the plane.
- Green, Sibson
- 1978
(Show Context)
Citation Context ...and the tessellation modified by the addition of this point; this modification is done on a trial basis, as this birth may not be accepted. In the updated tessellation the new point has "neighbou=-=rs" (Green and Sibson, 1978-=-), which we label as i 2 I. We compute the old and new areas of these tiles, and denote them by s i + t i and t i respectively. The total reduction P i2I s i gives the area of the tile of the new poin... |

111 | Hierarchical Bayesian analysis of changepoint problems. - Carlin, Gelfand, et al. - 1992 |

110 | Simulation procedures and likelihood inference for spatial point processes. - Geyer, Møller - 1994 |

105 | Spatial birth-and-death processes. - Preston - 1977 |

95 | A Bayesian analysis for change point problems. - Barry, Hartigan - 1993 |

87 | Bayesian Model Comparison Via Jump Diffusions, - Phillips, Smith - 1995 |

74 | OptimumMonte-Carlo sampling using Markov chains. - Peskun, H - 1973 |

64 |
Product partition models for change point problems. The Annals of Statistics
- Barry, Hartigan
- 1992
(Show Context)
Citation Context ...Gamma 1). Such counts become very large with n, and some care is needed to avoid overflow. An alternative model for the partitions that could have been used is Hartigan's product-partition model (see =-=Barry and Hartigan, 1992-=-); for given d(g), this favours a more unequal distribution of the items into groups. The joint distribution of all variables is now determined as p(g; ff; q; `; y) = p(g)p(ff; qjg)p(`jg; ff; q)p(yjg;... |

54 | Bayesian analysis of a Poisson process with a change point. - Raftery, Akman - 1986 |

48 | Nonparametric Bayesian inference from right censored survival data using Gibbs sampler. Stat - Arjas, Gasbarra - 1994 |

47 | Bayesian retrospective multiple-changepoint identification - Stephens - 1994 |

29 | A Bayesian method for combining results from several binomial experiments - CONSONNI, VERONESE - 1995 |

22 | Combining minimax shrinkage estimators. - George - 1986 |

10 | Contribution to the discussion of paper by Grenander and Miller - Green - 1994 |

6 | Bayesian Inference by Simulation in a Stochastic Model from Hematology - Newton, P, et al. - 1992 |

1 | Bayesian retrospectivemultiple-changepoint identi cation - A - 1994 |