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Statements (39)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
statistical analysis
|
| gptkbp:characterizedBy |
closure under sampling
conjugate priors in Bayesian statistics existence of sufficient statistics maximum entropy property |
| gptkbp:definedIn |
probability distributions expressible in a specific exponential form
|
| gptkbp:field |
gptkb:probability_theory
statistics |
| gptkbp:hasProperty |
includes both discrete and continuous distributions
closed under sampling and marginalization conjugate priors exist for all members maximum likelihood estimation is tractable moments can be derived from log-partition function often used in exponential random graph models sufficient statistics are linear in data |
| https://www.w3.org/2000/01/rdf-schema#label |
exponential family
|
| gptkbp:includes |
gptkb:normal_distribution
gptkb:Bernoulli_distribution gptkb:Poisson_distribution gptkb:binomial_distribution gptkb:exponential_distribution gptkb:gamma_distribution |
| gptkbp:parameter |
base measure
log-partition function natural parameter sufficient statistic |
| gptkbp:relatedTo |
gptkb:Kullback–Leibler_divergence
gptkb:Gibbs_distribution gptkb:Markov_random_field gptkb:information_geometry |
| gptkbp:studiedBy |
gptkb:Ronald_Fisher
gptkb:Bernard_Koopman gptkb:E._J._G._Pitman gptkb:Samuel_S._Wilks |
| gptkbp:usedIn |
gptkb:machine_learning
gptkb:generalized_linear_models statistical inference |
| gptkbp:bfsParent |
gptkb:normal_distribution
|
| gptkbp:bfsLayer |
4
|