Robert, C.P.,
Aitkin, M.,
Cox, David,
Stephens, M.,
Polymenis, A.,
Gilks, W.R.,
Nobile, A.,
Hodgson, M.,
Ohagan, A.,
Longford, Nicholas T.,
and others.
(1997)
*
On Bayesian analysis of mixtures with an unknown number of components - Discussion.
*
Journal of the Royal Statistical Society: Series B (Statistical Methodology),
59
(4).
pp. 758-792.
ISSN 1369-7412.
(doi:10.1111/1467-9868.00095)
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Official URL http://dx.doi.org/10.1111/1467-9868.00095 |

## Abstract

New methodology for fully Bayesian mixture analysis is developed, making use of reversible jump Markov chain Monte Carlo methods that are capable of jumping between the parameter subspaces corresponding to different numbers of components in the mixture. A sample from the full joint distribution of all unknown variables is thereby generated, and this can be used as a basis for a thorough presentation of many aspects of the posterior distribution. The methodology is applied here to the analysis of univariate normal mixtures, using a hierarchical prior model that offers an approach to dealing with weak prior information while avoiding the mathematical pitfalls of using improper priors in the mixture context.

Item Type: | Article |
---|---|

DOI/Identification number: | 10.1111/1467-9868.00095 |

Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics Q Science > QA Mathematics (inc Computing science) > QA273 Probabilities |

Divisions: | Faculties > Sciences > School of Mathematics Statistics and Actuarial Science |

Depositing User: | T.J. Sango |

Date Deposited: | 18 May 2009 08:56 UTC |

Last Modified: | 28 May 2019 13:56 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/17917 (The current URI for this page, for reference purposes) |

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