Skip to content
Category

Bayesian statistics

page 1
Bayes' theorem
theorem describing the probability of an event based on prior knowledge of conditions that might be related to the event
abductive reasoning
form of logical inference that seeks the best conclusion that explains a set of given observations
Bayesian probability
interpretation of probability as a measure of the degree of belief of an individual assessing the uncertainty of a particular situation
subjectivism
Subjectivism is the doctrine that "our own mental activity is the only unquestionable fact of our experience", instead of shared or communal, and that there is no external or objective truth.
likelihood function
joint probability evaluated at a sample
Bayesian statistics
statistics theory that uses Bayes’ theorem to compute and update probabilities after obtaining new data
naive Bayes classifier
classification algorithm
odds ratio
statistic quantifying the association between two events
posterior probability
conditional probability distribution used in Bayesian statistics
prior probability
probability distribution that would express one's uncertainty before some evidence is taken into account
graphical model
probabilistic model for which a graph expresses the conditional dependence structure between random variables
Bayesian game
game in which information about characteristics of the other players is incomplete
variational auto-encoder
deep learning generative model to encode data representation
Data assimilation
technique for updating numerical model with observed data
German tank problem
estimating the maximum of a discrete uniform distribution from sampling without replacement, historically from predicting German tank production based on ascending serial numbers in tanks lost in combat
principle of maximum entropy
principle in Bayesian statistics
conjugate prior
concept in probability theory
quantum Bayesianism
thumb|Each point in the Bloch sphere|Bloch ball is a possible quantum state for a [[qubit. In QBism, all quantum states are representations of personal probabilities.]] In physics and the philosophy of physics, QBism (pronounced "cubism") is an interpretation of quantum mechanics that takes an agent's actions and experiences as the central concerns of the theory. It is the most prominent and extreme form of quantum Bayesianism, a collection of related approaches that all involve interpreting quantum probabilities as Bayesian in some manner. QBism deals with common questions in the interpretati
chain rule
rule in probability
de Finetti's theorem
theorem that exchangeable observations are conditionally independent relative to some latent variable
Bayesian epistemology
reasoning about degrees of belief using Bayesian inference
Jeffreys prior
non-informative prior distribution for a parameter space
kernel
term in statistical analysis used to refer to a window function
Markov logic network
area of research
hyperparameter
parameter of a prior distribution in Bayesian statistics
variational Bayesian methods
mathematical methods used in Bayesian inference and machine learning
Bayesian search theory
Method for finding lost objects
Bayesian approach to brain function
explaining the brain's abilities through statistical principles
Deviance information criterion
diagnostic statistic used in Bayesian model selection
cross-species transmission
transmission of an infectious agent between host organisms of two different species that may lead to a new outbreak
base rate
mathematical concept
marginal likelihood
in Bayesian probability theory, a likelihood function that has been integrated over the parameter space
Jurimetrics
Jurimetrics is the application of quantitative methods, especially probability and statistics, to law. In the United States, the journal Jurimetrics is published by the American Bar Association and Arizona State University. The Journal of Empirical Legal Studies is another publication that emphasizes the statistical analysis of law.
Aumann's agreement theorem
theorem in game theory about whether rational agents can agree to disagree
Bayes error rate
error rate of the Bayes classifier
Cochran–Mantel–Haenszel statistics
test used in the analysis of stratified or matched categorical data
Bayes classifier
classification algorithm
posterior predictive distribution
in Bayesian statistics, the distribution of a new data point marginalized over the posterior
Neural network Gaussian process
modeling tool for assigning probabilities to events