Everything about Bayesian inference
Method of statistical inference
Bayesian inference is a method of statistical inference in which Bayes' theorem is used to calculate a probability of a hypothesis, given prior evidence, and update it as more information becomes available. Fundamentally, Bayesian inference uses a prior distribution to estimate posterior probabilities. Bayesian inference is an important technique in statistics, and especially in mathematical statistics. Bayesian updating is particularly important in the dynamic analysis of a sequence of data. Bayesian inference has found application in a wide range of activities, including science, engineering, philosophy, medicine, sport, psychology, and law. In the philosophy of decision theory, Bayesian inference is closely related to subjective probability, often called "Bayesian probability". Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Bayesian inferenceA 5-minute orientation
- Skim a recent paper: Bayesian causal inference: a critical reviewInfluential work since 2022
- Pick up a classic book: Probability TheoryThe most-reprinted book on the subject
- Read the landmark paper: MrBayes 3.2: Efficient Bayesian Phylogenetic Inference and Model Choice Across a Large Model SpaceCited 25,713 times
- Go sideways: Bayesian statisticsA closely related topic
- Go sideways: Likelihood functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
MrBayes 3.2: Efficient Bayesian Phylogenetic Inference and Model Choice Across a Large Model Space
MrBayes 3: Bayesian phylogenetic inference under mixed models
MRBAYES: Bayesian inference of phylogenetic trees
Approximate Bayesian Inference for Latent Gaussian models by using Integrated Nested Laplace Approximations
🆕 Influential since 2022
📚 Books worth reading
Probability TheoryE. T. Jaynes · 2003
Bayesian Inference with INLAVirgilio Gomez-Rubio · 2020- 📕Statistical InferenceMurray Aitkin · 2010
- 📕Modeling and Reasoning with Bayesian NetworksAdnan Darwiche · 2009
Bayesian theoryAdrian F. M. Smith, José M. Bernardo · 2000
Development of modern statistics and related topicsHeping Zhang, Zhang, Yaoting · 2003- 📕Statistical inference as a bargaining gameEduardo Ley · 2002
Regression estimatorsMarvin H. J. Gruber · 1990
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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