Editing Bayesian inference (section)

===Elementary===
The following books are listed in ascending order of probabilistic sophistication:
* Stone, JV (2013), "Bayes' Rule: A Tutorial Introduction to Bayesian Analysis",   [http://jim-stone.staff.shef.ac.uk/BookBayes2012/BayesRuleBookMain.html Download first  chapter here], Sebtel Press, England.
* {{Cite book| title=Understanding Uncertainty, Revised Edition| author=Dennis V. Lindley | publisher=John Wiley | year=2013| edition=2nd | isbn=978-1-118-65012-7| author-link=Dennis V. Lindley }}
* {{Cite book| title=Scientific Reasoning: The Bayesian Approach| author=Colin Howson |author2=Peter Urbach |name-list-style=amp | publisher=[[Open Court Publishing Company]]| year=2005| edition=3rd | isbn=978-0-8126-9578-6| author-link=Colin Howson }}
* {{Cite book|author=Berry, Donald A.|title=Statistics: A Bayesian Perspective|publisher=Duxbury| year=1996|isbn=978-0-534-23476-8}}
*{{Cite book|author=Morris H. DeGroot|author2=Mark J. Schervish|name-list-style=amp|title=Probability and Statistics|edition=third|isbn=978-0-201-52488-8|publisher=Addison-Wesley|year=2002|url-access=registration|url=https://archive.org/details/probabilitystati00degr_0|author-link=Morris H. DeGroot}}
* Bolstad, William M. (2007) ''Introduction to Bayesian Statistics'': Second Edition, John Wiley {{ISBN|0-471-27020-2}}
*{{cite book |author=Winkler, Robert L |title=Introduction to Bayesian Inference and Decision |publisher=Probabilistic |year=2003 |isbn=978-0-9647938-4-2 |edition=2nd  }} Updated classic textbook. Bayesian theory clearly presented.
* Lee, Peter M. ''Bayesian Statistics: An Introduction''. Fourth Edition (2012), John Wiley {{ISBN|978-1-1183-3257-3}}
* {{Cite book| title = Bayesian Methods for Data Analysis, Third Edition | publisher = Boca Raton, FL: Chapman and Hall/CRC | year = 2008 | isbn = 978-1-58488-697-6|author1=Carlin, Bradley P.  |author2=Louis, Thomas A. |name-list-style=amp }}
* {{Cite book| title = Bayesian Data Analysis, Third Edition | publisher = Chapman and Hall/CRC | year = 2013 | isbn = 978-1-4398-4095-5|last1=Gelman|first1=Andrew|author-link1=Andrew Gelman|last2=Carlin|first2=John B.|last3=Stern|first3=Hal S.|last4=Dunson|first4=David B.|last5=Vehtari|first5=Aki|last6=Rubin|first6=Donald B.|author-link6=Donald Rubin}}