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- Distance_correlation abstract "In statistics and in probability theory, distance correlation is a measure of statistical dependence between two random variables or two random vectors of arbitrary, not necessarily equal dimension. An important property is that this measure of dependence is zero if and only if the random variables are statistically independent. This measure is derived from a number of other quantities that are used in its specification, specifically: distance variance, distance standard deviation and distance covariance. These take the same roles as the ordinary moments with corresponding names in the specification of the Pearson product-moment correlation coefficient.These distance-based measures can be put into an indirect relationship to the ordinary moments by an alternative formulation (described below) using ideas related to Brownian motion, and this has led to the use of names such as Brownian covariance and Brownian distance covariance.".
- Distance_correlation thumbnail Distance_Correlation_Examples.svg?width=300.
- Distance_correlation wikiPageExternalLink 1010.0822v1.pdf.
- Distance_correlation wikiPageExternalLink 0912.3295v2.pdf.
- Distance_correlation wikiPageExternalLink energy.htm.
- Distance_correlation wikiPageExternalLink AOAS312.pdf.
- Distance_correlation wikiPageExternalLink AOS0283-reprint.pdf.
- Distance_correlation wikiPageID "28217722".
- Distance_correlation wikiPageRevisionID "599094136".
- Distance_correlation hasPhotoCollection Distance_correlation.
- Distance_correlation subject Category:Covariance_and_correlation.
- Distance_correlation subject Category:Multivariate_statistics.
- Distance_correlation subject Category:Statistical_dependence.
- Distance_correlation subject Category:Statistical_distance_measures.
- Distance_correlation subject Category:Theory_of_probability_distributions.
- Distance_correlation type Abstraction100002137.
- Distance_correlation type Act100030358.
- Distance_correlation type Action100037396.
- Distance_correlation type Choice100161243.
- Distance_correlation type Decision100162632.
- Distance_correlation type Event100029378.
- Distance_correlation type Maneuver100168237.
- Distance_correlation type Measure100174412.
- Distance_correlation type Move100165942.
- Distance_correlation type PsychologicalFeature100023100.
- Distance_correlation type StatisticalDistanceMeasures.
- Distance_correlation type YagoPermanentlyLocatedEntity.
- Distance_correlation comment "In statistics and in probability theory, distance correlation is a measure of statistical dependence between two random variables or two random vectors of arbitrary, not necessarily equal dimension. An important property is that this measure of dependence is zero if and only if the random variables are statistically independent.".
- Distance_correlation label "Distance correlation".
- Distance_correlation sameAs m.0cn_7g4.
- Distance_correlation sameAs Q5282862.
- Distance_correlation sameAs Q5282862.
- Distance_correlation sameAs Distance_correlation.
- Distance_correlation wasDerivedFrom Distance_correlation?oldid=599094136.
- Distance_correlation depiction Distance_Correlation_Examples.svg.
- Distance_correlation isPrimaryTopicOf Distance_correlation.