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Bayes estimator

In estimation theory and decision theory, a Bayes estimator or a Bayes action is an estimator or decision rule that minimizes the posterior expected value of a loss function (i.e., the posterior expected loss). Equivalently, it maximizes the posterior expectation of a utility function. An alternative way of formulating an estimator within Bayesian…

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Definition

Examples

Generalized Bayes estimators

Example

Empirical Bayes estimators

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Practical example of Bayes estimators

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Bayes estimator

Nodes58
Edges57
Triples26
Avg. degree1.97
Density0.034483
Components1

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Bayes estimator

Top relations

related to Asymptotic efficiency · 8
Bayes estimator → Bayes, In, Let, Moreover, MSE, To, Under, We
related to Definition · 7
Bayes estimator → An, Bayes, Equivalently, If, Let, Suppose, The Bayes
related to Bayes estimators for conjugate priors · 5
Bayes estimator → Bayes, Conjugate, If, In, This
related to Empirical Bayes estimators · 5
Bayes estimator → Bayes, Empirical Bayes, For, There, This
is a · 1
Bayes estimator → value a

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Important terminology

displaystyle bayes posterior prior estimator distribution theta estimation risk loss example function mean mse bayesian case generalized also parameter one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bayes estimatoris avalue a0.90text
Bayes estimatorrelated to Asymptotic efficiencyLet0.60section
Bayes estimatorrelated to Asymptotic efficiencyBayes0.60section
Bayes estimatorrelated to Asymptotic efficiencyWe0.60section
Bayes estimatorrelated to Asymptotic efficiencyTo0.60section
Bayes estimatorrelated to Asymptotic efficiencyUnder0.60section
Bayes estimatorrelated to Asymptotic efficiencyIn0.60section
Bayes estimatorrelated to Asymptotic efficiencyMoreover0.60section
Bayes estimatorrelated to Asymptotic efficiencyMSE0.60section
Bayes estimatorrelated to Bayes estimators for conjugate priorsIf0.60section
Bayes estimatorrelated to Bayes estimators for conjugate priorsThis0.60section
Bayes estimatorrelated to Bayes estimators for conjugate priorsBayes0.60section

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