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About: Cunningham function     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatSpecialHypergeometricFunctionsyago:WikicatStatisticalApproximationsyago:Abstraction100002137yago:Calculation105802185yago:Cognition100023271yago:Estimate105803379yago:Function113783816yago:HigherCognitiveProcess105770664yago:MathematicalRelation113783581yago:ProblemSolving105796750yago:Process105701363yago:PsychologicalFeature100023100yago:Relation100031921yago:Thinking105770926 New Facet based on Instances of this Class

In statistics, the Cunningham function or Pearson–Cunningham function ωm,n(x) is a generalisation of a special function introduced by and studied in the form here by . It can be defined in terms of the confluent hypergeometric function U, by The function was studied by Cunningham in the context of a multivariate generalisation of the Edgeworth expansion for approximating a probability density function based on its (joint) moments. In a more general context, the function is related to the solution of the constant-coefficient diffusion equation, in one or more dimensions.