Bayesian Linear Regression

URI: https://gptkb.org/entity/Bayesian_Linear_Regression
GPTKB entity
Statements (45)
Predicate Object
gptkbp:instanceOf statistical analysis
Regression Analysis Method
gptkbp:appliesTo Continuous Data
gptkbp:assumes Linear Relationship
gptkbp:basedOn Bayesian Inference
gptkbp:canIncorporate Prior Knowledge
gptkbp:computes gptkb:Markov_Chain_Monte_Carlo
gptkb:Variational_Inference
Analytical Solution
gptkbp:contrastsWith Frequentist Linear Regression
gptkbp:extendsTo Hierarchical Models
Nonlinear Models
gptkbp:field gptkb:Machine_Learning
gptkb:Data_Science
Statistics
gptkbp:firstDescribed Bayesian Statisticians
gptkbp:handles Model Uncertainty
Parameter Uncertainty
https://www.w3.org/2000/01/rdf-schema#label Bayesian Linear Regression
gptkbp:implementedIn gptkb:Python
gptkb:PyMC
gptkb:TensorFlow_Probability
gptkb:Stan
R
JAGS
gptkbp:likelihoodFunction gptkb:Normal_Distribution
gptkbp:output Posterior Predictive Distribution
Posterior Distribution of Parameters
gptkbp:posteriorDistribution gptkb:Normal_Distribution
gptkbp:priorDistribution gptkb:Normal_Distribution
gptkbp:provides Credible Intervals
Predictive Distribution
gptkbp:relatedTo gptkb:Lasso_Regression
gptkb:Ridge_Regression
Gaussian Process Regression
gptkbp:requires Specification of Priors
gptkbp:usedFor Uncertainty Quantification
Predictive Modeling
Parameter Estimation
gptkbp:usedIn Engineering
Social Sciences
Biostatistics
Econometrics
gptkbp:bfsParent gptkb:Bayesian_Learning
gptkbp:bfsLayer 7