{{Short description|None}} {{redirect|Bayesian|the yacht|Bayesian (yacht){{!}}''Bayesian'' (yacht)}} Thomas Bayes ({{IPAc-en|b|eɪ|z}} {{respell|BAYZ}}; c. 1701 – 1761) was an English statistician, philosopher, and Presbyterian minister.
'''Bayesian''' ({{IPAc-en|ˈ|b|eɪ|z|i|ə|n}} {{respell|BAY|zee|ən}} or {{IPAc-en|ˈ|b|eɪ|ʒ|ən}} {{respell|BAY|zhən}}) may be either any of a range of concepts and approaches that relate to statistical methods based on Bayes' theorem, or a follower of these methods.<ref>[https://web.archive.org/web/20210606184948/https://www.lexico.com/definition/bayesian BAYESIAN | Meaning & Definition for UK English | Lexico.com<!-- Bot generated title -->]</ref>
== Bayes == *{{Annotated link|Bayes action}} *{{Annotated link|Bayes Business School}} *{{Annotated link|Bayes classifier}} *{{Annotated link|Discriminability index#Bayes discriminability index|Bayes discriminability index}} *{{Annotated link|Bayes error rate}} *{{Annotated link|Bayes estimator}} *{{Annotated link|Bayes factor}} *{{Annotated link|Bayes Impact}} *{{Annotated link|Bayes linear statistics}} *{{Annotated link|Bayes prior}} *{{Annotated link|Bayes' theorem| Bayes' theorem / Bayes–Price theorem}}, sometimes called ''Bayes' rule'' or ''Bayesian updating'' *{{Annotated link|Empirical Bayes method}} *{{Annotated link|Evidence under Bayes theorem}} *{{Annotated link|Hierarchical Bayes model}} *{{Annotated link|Laplace–Bayes estimator}} *{{Annotated link|Naive Bayes classifier}} *{{Annotated link|Random naive Bayes}}
== Bayesian == *{{Annotated link|Approximate Bayesian computation}} *{{Annotated link|Bayesian Analysis (journal)}} *{{Annotated link|Bayesian approaches to brain function}} *{{Annotated link|Bayesian average}} *{{Annotated link|Bootstrapping (statistics)#Bayesian bootstrap| Bayesian bootstrap}} *{{Annotated link|Bayesian control rule}} *{{Annotated link|Bayesian cognitive science}} *{{Annotated link|Bayesian econometrics}} *{{Annotated link|Bayesian efficiency}} *{{Annotated link|Bayesian epistemology}} *{{Annotated link|Bayesian estimation of templates in computational anatomy}} *{{Annotated link|Loss function#Bayesian expected loss|Bayesian expected loss}} *{{Annotated link|Bayesian experimental design}} *{{Annotated link|Bayesian game}} *{{Annotated link|Bayesian hierarchical modeling}} *{{Annotated link|Bayesian History Matching}} *{{Annotated link|Bayesian inference}} **{{annotated link|Bayesian inference in marketing}} **{{annotated link|Bayesian inference in motor learning}} **{{Annotated link|Bayesian inference in phylogeny}} **{{annotated link|Bayesian inference using Gibbs sampling}} *{{Annotated link|Bayesian information criterion}} (BIC) **Widely applicable Bayesian information criterion (WBIC) *{{annotated link|Bayesian interpretation of kernel regularization}} *{{Annotated link|Bayesian Kepler periodogram}} *{{Annotated link|Bayesian knowledge tracing}} *{{Annotated link|Bayesian learning mechanisms}} *{{Annotated link|Bayesian linear regression}} *{{Annotated link|Bayesian model averaging}} (BMA) *{{Annotated link|Ensemble learning#Common types of ensembles|Bayesian model combination}} (BMC) *{{Annotated link|Bayesian model of computational anatomy}} *{{Annotated link|Bayesian model reduction}} *{{Annotated link|Bayesian model selection}} *{{Annotated link|Bayesian multivariate linear regression}} *{{Annotated link|Bayesian Nash equilibrium}} *{{Annotated link|Bayesian network}} *{{Annotated link|Bayesian neural network}} *{{Annotated link|Bayesian operational modal analysis}} (BAYOMA) *{{Annotated link|Bayesian-optimal mechanism}} *{{Annotated link|Bayesian-optimal pricing}} *{{Annotated link|Bayesian optimization}} *{{Annotated link|Bayesian poisoning}} *{{Annotated link|Bayesian probability}} *{{Annotated link|Statistical classification#Bayesian procedures|Bayesian procedures}} *{{Annotated link|Bayesian programming}} *{{Annotated link|Bayesian program synthesis}} *{{Annotated link|Bayesian quadrature}} *{{Annotated link|Bayesian regret}} *{{Annotated link|Bayesian search theory}} *{{Annotated link|Bayesian spam filtering}} *{{Annotated link|Bayesian statistics}} *{{Annotated link|Bayesian structural time series}} *{{Annotated link|Support-vector machine#Bayesian SVM|Bayesian support-vector machine}} *{{Annotated link|Bayesian survival analysis}} *{{Annotated link|Bayesian tool for methylation analysis}} *{{Annotated link|Bayesian vector autoregression}} *{{annotated link|Bayesian (yacht)|''Bayesian'' (yacht)}} *{{Annotated link|Dynamic Bayesian network}} *{{Annotated link|International Society for Bayesian Analysis}} *{{Annotated link|Perfect Bayesian equilibrium}} (PBE) *{{Annotated link|Quantum Bayesianism}} *{{Annotated link|Recursive Bayesian estimation}} *{{Annotated link|Robust Bayesian analysis}} *{{Annotated link|Variable-order Bayesian network}} *{{Annotated link|Variational Bayesian methods}}
== See also ==
*{{Annotated link|Active inference}} *{{Annotated link|Admissible decision rule}} *{{Annotated link|Aumann's agreement theorem}} *{{Annotated link|Banburismus}} *{{Annotated link|Conditional Probability}} *{{Annotated link|Credibility theory}} *{{Annotated link|Dempster–Shafer theory}}, a generalization of Bayes' theorem. *{{section link|History of statistics#History of Bayesian statistics}} *{{Annotated link|Inverse probability}} *{{Annotated link|Nested sampling algorithm}} *{{Annotated link|Markov blanket}} *{{Annotated link|Signaling game}} *{{annotated link|List of eponymous laws}}
==References== {{reflist}}{{DEFAULTSORT:List of things named after Thomas Bayes}}
== External links == * {{cite journal | last = Fienberg | first = Stephen | date = 2006 | title = When did Bayesian inference become "Bayesian"? | journal = Bayesian Analysis | pages = 1–41 | citeseerx = 10.1.1.124.8632 }}
Bayes, Thomas