Computer-intensive algorithms, such as the Gibbs sampler, have become increasingly popular statistical tools, both in applied and theoretical work. The properties of such algorithms, however, may sometimes not be obvious. Here we give a simple explanation of how and why the Gibbs sampler works. We analytically establish its properties in a simple case and provide insight for more complicated cases. There are also a number of examples.
%0 Journal Article
%1 casella1992
%A Casella, George
%A George, Edward I.
%D 1992
%I American Statistical Association
%J The American Statistician
%K gibbs introduction ml sampling
%N 3
%P 167--174
%R 10.2307/2685208
%T Explaining the Gibbs Sampler
%U http://dx.doi.org/10.2307/2685208
%V 46
%X Computer-intensive algorithms, such as the Gibbs sampler, have become increasingly popular statistical tools, both in applied and theoretical work. The properties of such algorithms, however, may sometimes not be obvious. Here we give a simple explanation of how and why the Gibbs sampler works. We analytically establish its properties in a simple case and provide insight for more complicated cases. There are also a number of examples.
@article{casella1992,
abstract = {Computer-intensive algorithms, such as the Gibbs sampler, have become increasingly popular statistical tools, both in applied and theoretical work. The properties of such algorithms, however, may sometimes not be obvious. Here we give a simple explanation of how and why the Gibbs sampler works. We analytically establish its properties in a simple case and provide insight for more complicated cases. There are also a number of examples.},
added-at = {2009-10-22T19:00:34.000+0200},
author = {Casella, George and George, Edward I.},
biburl = {https://www.bibsonomy.org/bibtex/2d9ef3231e2903c2f5bc2ef565f87f882/folke},
citeulike-article-id = {1270229},
citeulike-linkout-0 = {http://dx.doi.org/10.2307/2685208},
citeulike-linkout-1 = {http://www.jstor.org/stable/2685208},
description = {CiteULike: Explaining the Gibbs Sampler},
doi = {10.2307/2685208},
interhash = {ba4f08a9e4e1add859c3b2c9661728fa},
intrahash = {d9ef3231e2903c2f5bc2ef565f87f882},
issn = {00031305},
journal = {The American Statistician},
keywords = {gibbs introduction ml sampling},
number = 3,
pages = {167--174},
posted-at = {2009-09-24 05:52:36},
priority = {2},
publisher = {American Statistical Association},
timestamp = {2009-10-22T19:00:34.000+0200},
title = {Explaining the Gibbs Sampler},
url = {http://dx.doi.org/10.2307/2685208},
volume = 46,
year = 1992
}