Editing Markov chain Monte Carlo (section)

===Bayesian Statistics===
In Bayesian statistics, Markov chain Monte Carlo methods are typically used to calculate [[Moment (mathematics)|moments]] and [[credible interval]]s of [[posterior probability]] distributions. The use of MCMC methods makes it possible to compute large [[Bayesian network#Hierarchical models|hierarchical models]] that require integrations over hundreds to thousands of unknown parameters.<ref>{{cite book|last1=Banerjee|first1=Sudipto|last2=Carlin|first2=Bradley P.|last3=Gelfand|first3=Alan P.|title=Hierarchical Modeling and Analysis for Spatial Data|publisher=CRC Press|isbn=978-1-4398-1917-3|page=xix|edition=Second|date=2014-09-12}}</ref>