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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 wikiPageLength "21365".
- Distance_correlation wikiPageOutDegree "47".
- Distance_correlation wikiPageRevisionID "665648909".
- Distance_correlation wikiPageWikiLink Annals_of_Statistics.
- Distance_correlation wikiPageWikiLink Biometrika.
- Distance_correlation wikiPageWikiLink Brownian_motion.
- Distance_correlation wikiPageWikiLink Category:Covariance_and_correlation.
- Distance_correlation wikiPageWikiLink Category:Multivariate_statistics.
- Distance_correlation wikiPageWikiLink Category:Statistical_dependence.
- Distance_correlation wikiPageWikiLink Category:Statistical_distance_measures.
- Distance_correlation wikiPageWikiLink Category:Theory_of_probability_distributions.
- Distance_correlation wikiPageWikiLink Characteristic_function_(probability_theory).
- Distance_correlation wikiPageWikiLink Corrado_Gini.
- Distance_correlation wikiPageWikiLink Correlation.
- Distance_correlation wikiPageWikiLink Correlation_and_dependence.
- Distance_correlation wikiPageWikiLink Covariance.
- Distance_correlation wikiPageWikiLink Distance_correlation.
- Distance_correlation wikiPageWikiLink Energy_distance.
- Distance_correlation wikiPageWikiLink Euclidean_distance.
- Distance_correlation wikiPageWikiLink Euclidean_norm.
- Distance_correlation wikiPageWikiLink Euclidean_vector.
- Distance_correlation wikiPageWikiLink Expected_value.
- Distance_correlation wikiPageWikiLink Gabor_J_Szekely.
- Distance_correlation wikiPageWikiLink Grand_mean.
- Distance_correlation wikiPageWikiLink Gábor_J._Székely.
- Distance_correlation wikiPageWikiLink Hilbert_space.
- Distance_correlation wikiPageWikiLink Independence_(probability_theory).
- Distance_correlation wikiPageWikiLink Isometry.
- Distance_correlation wikiPageWikiLink Mean_absolute_difference.
- Distance_correlation wikiPageWikiLink Metric_space.
- Distance_correlation wikiPageWikiLink Moment_(mathematics).
- Distance_correlation wikiPageWikiLink Multivariate_random_variable.
- Distance_correlation wikiPageWikiLink Norm_(mathematics).
- Distance_correlation wikiPageWikiLink Orthogonal_matrix.
- Distance_correlation wikiPageWikiLink Orthonormal_matrix.
- Distance_correlation wikiPageWikiLink Pearson_product-moment_correlation_coefficient.
- Distance_correlation wikiPageWikiLink Probability_theory.
- Distance_correlation wikiPageWikiLink Proceedings_of_the_Royal_Society.
- Distance_correlation wikiPageWikiLink RV_coefficient.
- Distance_correlation wikiPageWikiLink R_(programming_language).
- Distance_correlation wikiPageWikiLink Random_variable.
- Distance_correlation wikiPageWikiLink Random_variables.
- Distance_correlation wikiPageWikiLink Random_vector.
- Distance_correlation wikiPageWikiLink Sample_(statistics).
- Distance_correlation wikiPageWikiLink Skewness.
- Distance_correlation wikiPageWikiLink Statistical_dependence.
- Distance_correlation wikiPageWikiLink Statistical_sample.
- Distance_correlation wikiPageWikiLink Statistically_independent.
- Distance_correlation wikiPageWikiLink Statistics.
- Distance_correlation wikiPageWikiLink The_Annals_of_Statistics.
- Distance_correlation wikiPageWikiLink Wiener_process.
- Distance_correlation wikiPageWikiLink File:Distance_Correlation_Examples.svg.
- Distance_correlation wikiPageWikiLinkText "Distance correlation".
- Distance_correlation wikiPageWikiLinkText "Distance correlation#Distance standard deviation".
- Distance_correlation wikiPageWikiLinkText "distance correlation".
- Distance_correlation wikiPageWikiLinkText "distance covariance".
- Distance_correlation hasPhotoCollection Distance_correlation.
- Distance_correlation wikiPageUsesTemplate Template:Cleanup.
- Distance_correlation wikiPageUsesTemplate Template:Doi.
- Distance_correlation wikiPageUsesTemplate Template:Math.
- Distance_correlation wikiPageUsesTemplate Template:Reflist.
- 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 hypernym Measure.
- Distance_correlation type Article.
- Distance_correlation type Type.
- Distance_correlation type Work.
- Distance_correlation type Article.
- Distance_correlation type Page.
- Distance_correlation type Type.
- 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 wasDerivedFrom Distance_correlation?oldid=665648909.
- Distance_correlation depiction Distance_Correlation_Examples.svg.
- Distance_correlation isPrimaryTopicOf Distance_correlation.