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Statistical manifold

In mathematics, a statistical manifold is a Riemannian manifold, each of whose points is a probability distribution. Statistical manifolds provide a setting for the field of information geometry. The Fisher information metric provides a metric on these manifolds. Following this definition, the log-likelihood function is a differentiable map and the score…

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Statistical manifold

Nodes29
Edges28
Triples15
Avg. degree1.93
Density0.068966
Components1

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Statistical manifold

Top relations

related to Definition · 7
Statistical manifold → Equivalently, Fréchet, Let, Note, Omega, Sigma, The
related to Examples · 7
Statistical manifold → As, Equipped, Fisher, Fisher Information, For, Riemannian, The
is a · 1
Statistical manifold → Riemannian manifold

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Important terminology

manifold probability space statistical information displaystyle distribution manifolds would one fisher temperature definition metric example taken fixed outcomes dosage sigma

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SubjectPredicateObjectConfidenceSrc
Statistical manifoldis aRiemannian manifold0.90text
Statistical manifoldrelated to DefinitionLet0.60section
Statistical manifoldrelated to DefinitionSigma0.60section
Statistical manifoldrelated to DefinitionEquivalently0.60section
Statistical manifoldrelated to DefinitionOmega0.60section
Statistical manifoldrelated to DefinitionThe0.60section
Statistical manifoldrelated to DefinitionNote0.60section
Statistical manifoldrelated to DefinitionFréchet0.60section
Statistical manifoldrelated to ExamplesThe0.60section
Statistical manifoldrelated to ExamplesEquipped0.60section
Statistical manifoldrelated to ExamplesRiemannian0.60section
Statistical manifoldrelated to ExamplesFisher0.60section

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    Min side: 3
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