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Sufficient statistic

In statistics, sufficiency is a property of a statistic computed on a sample dataset in relation to a parametric model of the dataset. A sufficient statistic for a model parameter contains all of the information that the dataset provides about that parameter. It is closely related to the concepts of an ancillary statistic which contains no information…

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Overview

Background

Mathematical definition

Fisher–Neyman factorization theorem

Minimal sufficiency

Examples

Rao–Blackwell theorem

Exponential family

Advanced semantic analysis

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Map overview Semantic statistics

Sufficient statistic

Nodes53
Edges52
Triples84
Avg. degree1.96
Density0.037736
Components1

How this topic connects Entity context

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Sufficient statistic

Top relations

related to References · 15
Sufficient statistic → Casella, Chapter, Dodge, EMS PressLehmann, Encyclopedia, ISBN, Kholevo, Mathematics, OUP, Point Estimation, Springer, Statistical Terms, Sufficient, The Oxford Dictionary, Theory
related to Proof · 11
Sufficient statistic → Craig, Due, First, Hogg, Let, Let Y1, What, X1, X2, Xn, Y1
related to background · 8
Sufficient statistic → Due, For, From, Gaussian, In, More, Roughly, Typically
related to Fisher–Neyman factorization theorem · 7
Sufficient statistic → Examples, Fisher's, Halmos, If, In, Savage, The
related to Bernoulli distribution · 6
Sufficient statistic → Bernoulli-distributed, If X1, This, X1, Xi, Xn
related to Exponential family · 6
Sufficient statistic → According, Darmois, Intuitively, Koopman, Less, Pitman
related to Poisson distribution · 5
Sufficient statistic → If X1, Poisson, To, X1, Xn
related to Uniform distribution · 5
Sufficient statistic → Because, If X1, To, X1, Xn
related to Gamma distribution · 4
Sufficient statistic → Because, Gamma, If, To
related to Rao–Blackwell theorem · 4
Sufficient statistic → Blackwell, Rao, Sometimes, Sufficiency

Important terminology Word statistics

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Important terminology

sufficient statistic displaystyle theta function parameter theorem independent probability density joint sample factorization pdf dots depend data distribution see sufficiency

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Sufficient statisticis afunction T0.90text
Sufficient statisticis asimple function of the data0.90text
Sufficient statisticrelated to backgroundRoughly0.60section
Sufficient statisticrelated to backgroundDue0.60section
Sufficient statisticrelated to backgroundFrom0.60section
Sufficient statisticrelated to backgroundTypically0.60section
Sufficient statisticrelated to backgroundMore0.60section
Sufficient statisticrelated to backgroundIn0.60section
Sufficient statisticrelated to backgroundFor0.60section
Sufficient statisticrelated to backgroundGaussian0.60section
Sufficient statisticrelated to Bernoulli distributionIf X10.60section
Sufficient statisticrelated to Bernoulli distributionXn0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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