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- Q5282862 subject Q7451992.
- Q5282862 subject Q7849419.
- Q5282862 subject Q8425180.
- Q5282862 subject Q8817194.
- Q5282862 subject Q8817197.
- Q5282862 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.".
- Q5282862 thumbnail Distance_Correlation_Examples.svg?width=300.
- Q5282862 wikiPageExternalLink 1010.0822v1.pdf.
- Q5282862 wikiPageExternalLink 0912.3295v2.pdf.
- Q5282862 wikiPageExternalLink energy.htm.
- Q5282862 wikiPageExternalLink AOAS312.pdf.
- Q5282862 wikiPageExternalLink AOS0283-reprint.pdf.
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- Q5282862 wikiPageWikiLink Q7451992.
- Q5282862 wikiPageWikiLink Q7849419.
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- Q5282862 wikiPageWikiLink Q8425180.
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- Q5282862 wikiPageWikiLink Q8817194.
- Q5282862 wikiPageWikiLink Q8817197.
- Q5282862 wikiPageWikiLink Q956437.
- Q5282862 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.".
- Q5282862 label "Distance correlation".
- Q5282862 depiction Distance_Correlation_Examples.svg.