On perfect simulation for some mixtures of distributions

被引:15
作者
Hobert, JP
Robert, CP
Titterington, DM
机构
[1] Univ Florida, Dept Stat, Gainesville, FL 32611 USA
[2] Univ Rouen, CNRS, UPRES A 6085, F-75675 Paris 14, France
[3] CREST, INSEE, F-75675 Paris 14, France
[4] Univ Glasgow, Dept Stat, Glasgow G12 8QQ, Lanark, Scotland
关键词
coupling; gamma decomposition; Gibbs sampling; monotonicity;
D O I
10.1023/A:1008912006771
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper studies the implementation of the coupling from the past (CFTP) method of Propp and Wilson (1996) in the set-up of two and three component mixtures with known components and unknown weights. We show that monotonicity structures can be exhibited in both cases, but that CFTP can still be costly for three component mixtures. We conclude with a simulation experiment exhibiting an almost perfect sampling scheme where we only consider a subset of the exhaustive set of starting values.
引用
收藏
页码:287 / 298
页数:12
相关论文
共 13 条
[1]  
DIEBOLT J, 1994, J ROY STAT SOC B MET, V56, P363
[2]  
Fill JA, 1998, ANN APPL PROBAB, V8, P131
[3]  
Green PJ, 1999, BAYESIAN STATISTICS 6, P301
[4]   Characterization results and Markov chain Monte Carlo algorithms including exact simulation for some spatial point processes [J].
Häggström, O ;
Van Lieshout, MCNM ;
Moller, J .
BERNOULLI, 1999, 5 (04) :641-658
[5]  
KENDALL W, 1998, PROBABILITY PERSPECT
[6]  
LIU JS, 1998, USE MULTIPLE TRY MET
[7]   Perfect simulation of conditionally specified models [J].
Moller, J .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1999, 61 :251-264
[8]   Exact sampling from a continuous state space [J].
Murdoch, DJ ;
Green, PJ .
SCANDINAVIAN JOURNAL OF STATISTICS, 1998, 25 (03) :483-502
[9]   How to get a perfectly random sample from a generic Markov chain and generate a random spanning tree of a directed graph [J].
Propp, JG ;
Wilson, DB .
JOURNAL OF ALGORITHMS-COGNITION INFORMATICS AND LOGIC, 1998, 27 (02) :170-217
[10]  
Propp JG, 1996, RANDOM STRUCT ALGOR, V9, P223, DOI 10.1002/(SICI)1098-2418(199608/09)9:1/2<223::AID-RSA14>3.0.CO