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gptkbp:instanceOf
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statistical analysis
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gptkbp:application
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gptkb:signal_processing
gptkb:Bioinformatics
gptkb:Hypothesis_testing
Natural language processing
Computer vision
Data modeling
Econometrics
Parameter estimation
Statistical inference
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gptkbp:definedIn
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Probability distributions expressible in a specific canonical form
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gptkbp:field
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gptkb:Probability_theory
Statistics
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gptkbp:form
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p(x|θ) = h(x) exp(η(θ)·T(x) - A(θ))
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https://www.w3.org/2000/01/rdf-schema#label
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Exponential family
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gptkbp:includes
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gptkb:Dirichlet_distribution
gptkb:Bernoulli_distribution
gptkb:Poisson_distribution
gptkb:Binomial_distribution
gptkb:Exponential_distribution
gptkb:Multinomial_distribution
gptkb:Beta_distribution
gptkb:Gamma_distribution
gptkb:Normal_distribution
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gptkbp:namedFor
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gptkb:Statisticians
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gptkbp:notableContributor
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gptkb:George_D._Birkhoff
gptkb:Ronald_Fisher
gptkb:E._J._G._Pitman
gptkb:Morris_L._Eaton
gptkb:Bradley_Efron
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gptkbp:originatedIn
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Early 20th century
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gptkbp:parameter
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Base measure
Log-partition function
Natural parameter
Sufficient statistic
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gptkbp:property
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Conjugate priors exist for all members
Moment generating function is related to log-partition function
Maximum likelihood estimation is tractable
Sufficient statistics exist
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gptkbp:relatedTo
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gptkb:Kullback–Leibler_divergence
gptkb:Gibbs_distribution
gptkb:Markov_random_field
Entropy
Information geometry
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gptkbp:usedIn
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gptkb:Generalized_linear_models
gptkb:Variational_inference
Bayesian statistics
Machine learning
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gptkbp:bfsParent
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gptkb:Pearson_distribution
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gptkbp:bfsLayer
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5
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