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U-statistic

In statistical theory, a U-statistic is a class of statistics defined as the average over the application of a given function applied to all tuples of a fixed size. The letter "U" stands for unbiased.[citation needed] In elementary statistics, U-statistics arise naturally in producing minimum-variance unbiased estimators.

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U-statistic

Nodes28
Edges27
Triples72
Avg. degree1.93
Density0.071429
Components1

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U-statistic

Top relations

related to References · 56
U-statistic → American Statistical Association, Annals, Applications, Approximation, Asymptotically Normal Distribution, Banach, Borovskich, Borovskikh, Breakthroughs, Chapman, Class, Cox, Dordrecht, Hall, Halmos, Hinkley, Hoeffding, In, Introduction, ISBN
related to history · 7
U-statistic → For, In, Many, Suppose, The, The U-statistic, U-statistics
related to Definition · 5
U-statistic → For, Formally, Hoeffding, Let, The
is a · 2
U-statistic → class of statistics defined as the average over the application of a given function applied to all tuples of a fixed size, mean pairwise deviation f n
related to Examples · 2
U-statistic → If, Some

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Important terminology

statistics u-statistics theory isbn displaystyle defined statistical unbiased distributions probability function random hoeffding 1948 average population parameter median variance variables

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
U-statisticis aclass of statistics defined as the average over the application of a given function applied to all tuples of a fixed size0.90text
U-statisticis amean pairwise deviation f n0.90text
U-statisticrelated to DefinitionThe0.60section
U-statisticrelated to DefinitionHoeffding0.60section
U-statisticrelated to DefinitionLet0.60section
U-statisticrelated to DefinitionFor0.60section
U-statisticrelated to DefinitionFormally0.60section
U-statisticrelated to ExamplesSome0.60section
U-statisticrelated to ExamplesIf0.60section
U-statisticrelated to historyMany0.60section
U-statisticrelated to historyU-statistics0.60section
U-statisticrelated to historyIn0.60section

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