Markov-chain Monte Carlo: Some practical implications of theoretical results

被引:71
|
作者
Roberts, GO
Rosenthal, JS
机构
[1] Univ Cambridge, Stat Lab, Cambridge CB2 1SB, England
[2] Univ Toronto, Dept Stat, Toronto, ON M5S 3G3, Canada
关键词
Markov chain; Monte Carlo; MCMC; Gibbs sampler; Metropolis-Hastings algorithm;
D O I
10.2307/3315667
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We review and discuss some recent progress in the theory of Markov-chain Monte Carlo applications, particularly oriented to applications in statistics. We attempt to assess the relevance of this theory for practical applications.
引用
收藏
页码:5 / 20
页数:16
相关论文
共 50 条
  • [1] Markov-chain Monte Carlo: Some practical implications of theoretical results - Discussion
    Ishwaran, H
    [J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1998, 26 (01): : 20 - 27
  • [2] THE BOOTSTRAP AND MARKOV-CHAIN MONTE CARLO
    Efron, Bradley
    [J]. JOURNAL OF BIOPHARMACEUTICAL STATISTICS, 2011, 21 (06) : 1052 - 1062
  • [3] Indirect gradient analysis by Markov-chain Monte Carlo
    Walker, Steven C.
    [J]. PLANT ECOLOGY, 2015, 216 (05) : 697 - 708
  • [4] Indirect gradient analysis by Markov-chain Monte Carlo
    Steven C. Walker
    [J]. Plant Ecology, 2015, 216 : 697 - 708
  • [5] Asteroid orbital ranging using Markov-Chain Monte Carlo
    Oszkiewicz, Dagmara
    Muinonen, Karri
    Virtanen, Jenni
    Granvik, Mikael
    [J]. METEORITICS & PLANETARY SCIENCE, 2009, 44 (12) : 1897 - 1904
  • [6] Asteroid mass estimation using Markov-chain Monte Carlo
    Siltala, Lauri
    Granvik, Mikael
    [J]. ICARUS, 2017, 297 : 149 - 159
  • [7] SOME RESULTS PERTAINING TO LUMPINGS OF A MARKOV-CHAIN
    BEAUMONT, N
    [J]. ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 1992, 9 (01) : 1 - 8
  • [8] Markov-chain Monte-Carlo approach for association probability evaluation
    Cong, S
    Hong, L
    Wicker, D
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (02): : 185 - 193
  • [9] Introduction to particle Markov-chain Monte Carlo for disease dynamics modellers
    Endo, Akira
    van Leeuwen, Edwin
    Baguelin, Marc
    [J]. EPIDEMICS, 2019, 29
  • [10] A Markov-chain Monte-Carlo approach to musical audio segmentation
    Rhodes, Christophe
    Casey, Michael
    Abdallah, Samer
    Sandler, Mark
    [J]. 2006 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-13, 2006, : 5655 - 5658