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  "Package": "energy",
  "Title": "E-Statistics: Multivariate Inference via the Energy of Data",
  "Version": "1.7-12",
  "Date": "2024-08-22",
  "Authors@R": "c(\nperson(\"Maria\", \"Rizzo\", , \"mrizzo@bgsu.edu\", c(\"aut\", \"cre\")),\nperson(\"Gabor\", \"Szekely\", , , \"aut\"))",
  "Description": "E-statistics (energy) tests and statistics for\nmultivariate and univariate inference, including distance\ncorrelation, one-sample, two-sample, and multi-sample tests for\ncomparing multivariate distributions, are implemented.\nMeasuring and testing multivariate independence based on\ndistance correlation, partial distance correlation,\nmultivariate goodness-of-fit tests, k-groups and hierarchical\nclustering based on energy distance, testing for multivariate\nnormality, distance components (disco) for non-parametric\nanalysis of structured data, and other energy\nstatistics/methods are implemented.",
  "URL": "https://github.com/mariarizzo/energy",
  "License": "GPL (>= 2)",
  "LazyData": "true",
  "NeedsCompilation": "yes",
  "RoxygenNote": "7.2.3",
  "Config/pak/sysreqs": "libgsl0-dev",
  "Repository": "https://mariarizzo.r-universe.dev",
  "Date/Publication": "2024-08-27 19:44:22 UTC",
  "RemoteUrl": "https://github.com/mariarizzo/energy",
  "RemoteRef": "HEAD",
  "RemoteSha": "ffc3d056b25b188dc40735dac5d2bd77d5f8862f",
  "Packaged": {
    "Date": "2026-05-31 07:30:42 UTC",
    "User": "root"
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  "Author": "Maria Rizzo [aut, cre],\nGabor Szekely [aut]",
  "Maintainer": "Maria Rizzo <mrizzo@bgsu.edu>",
  "MD5sum": "bc32a489c5aa6ca76f47e8f2feff57e0",
  "_user": "mariarizzo",
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  "_created": "2026-05-31T07:30:42.000Z",
  "_published": "2026-05-31T08:03:59.250Z",
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    "name": "Maria Rizzo",
    "email": "mrizzo@bgsu.edu",
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    "description": "Professor of Statistics\nDepartment of Mathematics & Statistics\nBowling Green State University",
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  "_topics": [
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    "energy",
    "multivariate-analysis",
    "statistics",
    "cpp"
  ],
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      "date": "2014-02-23"
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      "date": "2018-05-27"
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      "date": "2018-08-11"
    },
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      "date": "2019-07-06"
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      "date": "2019-12-07"
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      "date": "2021-02-22"
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      "date": "2022-01-25"
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      "date": "2022-12-22"
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    "calc_dist",
    "D_center",
    "Dcenter",
    "dcor",
    "DCOR",
    "dcor.test",
    "dcor2d",
    "dcorT",
    "dcorT.test",
    "dcov",
    "dcov.test",
    "dcov2d",
    "dcovU",
    "dcovU_stats",
    "disco",
    "disco.between",
    "edist",
    "energy.hclust",
    "eqdist.e",
    "eqdist.etest",
    "indep.test",
    "is.dmatrix",
    "kgroups",
    "ksample.e",
    "mutualIndep.test",
    "mvI",
    "mvI.test",
    "mvnorm.e",
    "mvnorm.etest",
    "mvnorm.test",
    "normal.e",
    "normal.test",
    "pdcor",
    "pdcor.test",
    "pdcov",
    "pdcov.test",
    "poisson.e",
    "poisson.etest",
    "poisson.m",
    "poisson.mtest",
    "poisson.tests",
    "sortrank",
    "U_center",
    "U_product",
    "Ucenter"
  ],
  "_datasets": [
    {
      "name": "EVnormal",
      "title": "Eigenvalues for the energy Test of Univariate Normality",
      "object": "EVnormal",
      "class": [
        "matrix",
        "array"
      ],
      "fields": [
        "i",
        "Case1",
        "Case2",
        "Case3",
        "Case4"
      ],
      "rows": 125,
      "table": true,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "energy-package",
      "title": "E-statistics: Multivariate Inference via the Energy of Data",
      "topics": [
        "energy-package",
        "energy"
      ]
    },
    {
      "page": "centering",
      "title": "Double centering and U-centering",
      "concept": [
        "multivariate",
        "distance correlation",
        "distance covariance",
        "energy statistics"
      ],
      "topics": [
        "Dcenter",
        "D_center",
        "Ucenter",
        "U_center"
      ]
    },
    {
      "page": "energy-defunct",
      "title": "Distance Correlation t-test for High Dimensions",
      "concept": [
        "energy statistics"
      ],
      "topics": [
        "dcor.t",
        "dcor.ttest"
      ]
    },
    {
      "page": "dcorT",
      "title": "Distance Correlation t-Test",
      "concept": [
        "independence",
        "multivariate",
        "distance correlation",
        "distance covariance",
        "energy statistics"
      ],
      "topics": [
        "dcorT",
        "dcorT.test"
      ]
    },
    {
      "page": "dcov.test",
      "title": "Distance Covariance Test and Distance Correlation test",
      "concept": [
        "independence",
        "multivariate",
        "distance correlation",
        "distance covariance",
        "energy statistics"
      ],
      "topics": [
        "dcor.test",
        "dcov.test",
        "distance covariance"
      ]
    },
    {
      "page": "dcov2d",
      "title": "Fast dCor and dCov for bivariate data only",
      "concept": [
        "independence",
        "distance correlation",
        "distance covariance",
        "energy statistics"
      ],
      "topics": [
        "dcor2d",
        "dcov2d"
      ]
    },
    {
      "page": "dcovU_stats",
      "title": "Unbiased distance covariance statistics",
      "concept": [
        "independence",
        "multivariate",
        "distance correlation",
        "distance covariance",
        "energy statistics"
      ],
      "topics": [
        "dcovU_stats"
      ]
    },
    {
      "page": "disco",
      "title": "distance components (DISCO)",
      "topics": [
        "disco",
        "disco.between",
        "print.disco"
      ]
    },
    {
      "page": "dcov",
      "title": "Distance Correlation and Covariance Statistics",
      "concept": [
        "independence",
        "distance correlation",
        "distance covariance",
        "energy statistics"
      ],
      "topics": [
        "dcor",
        "dcov"
      ]
    },
    {
      "page": "dmatrix",
      "title": "Distance Matrices",
      "topics": [
        "calc_dist",
        "is.dmatrix"
      ]
    },
    {
      "page": "edist",
      "title": "E-distance",
      "concept": [
        "energy statistics"
      ],
      "topics": [
        "edist"
      ]
    },
    {
      "page": "energy-deprecated",
      "title": "Deprecated Functions",
      "concept": [
        "independence",
        "multivariate",
        "distance correlation",
        "distance covariance",
        "energy statistics"
      ],
      "topics": [
        "DCOR"
      ]
    },
    {
      "page": "energy.hclust",
      "title": "Hierarchical Clustering by Minimum (Energy) E-distance",
      "concept": [
        "energy statistics"
      ],
      "topics": [
        "energy.hclust"
      ]
    },
    {
      "page": "eqdist.etest",
      "title": "Multisample E-statistic (Energy) Test of Equal Distributions",
      "concept": [
        "energy statistics"
      ],
      "topics": [
        "eqdist.e",
        "eqdist.etest",
        "ksample.e"
      ]
    },
    {
      "page": "eigen",
      "title": "Eigenvalues for the energy Test of Univariate Normality",
      "topics": [
        "eigenvalues",
        "EVnormal"
      ]
    },
    {
      "page": "indep-deprecated",
      "title": "Energy-tests of Independence",
      "concept": [
        "independence",
        "energy statistics"
      ],
      "topics": [
        "indep.test"
      ]
    },
    {
      "page": "kgroups",
      "title": "K-Groups Clustering",
      "topics": [
        "kgroups"
      ]
    },
    {
      "page": "mutualIndep",
      "title": "Energy Test of Mutual Independence",
      "concept": [
        "independence",
        "distance correlation",
        "distance covariance",
        "energy statistics"
      ],
      "topics": [
        "mutualIndep.test"
      ]
    },
    {
      "page": "mvI.test",
      "title": "Independence Coefficient and Test",
      "concept": [
        "independence",
        "energy statistics"
      ],
      "topics": [
        "mvI",
        "mvI.test"
      ]
    },
    {
      "page": "mvnorm-test",
      "title": "E-statistic (Energy) Test of Multivariate Normality",
      "concept": [
        "goodness-of-fit",
        "normal distribution",
        "energy statistics"
      ],
      "topics": [
        "mvnorm.e",
        "mvnorm.etest",
        "mvnorm.test"
      ]
    },
    {
      "page": "normalGOF",
      "title": "Energy Test of Univariate Normality",
      "concept": [
        "goodness-of-fit",
        "normal distribution",
        "energy statistics"
      ],
      "topics": [
        "normal.e",
        "normal.test"
      ]
    },
    {
      "page": "pdcor",
      "title": "Partial distance correlation and covariance",
      "concept": [
        "independence",
        "multivariate",
        "distance correlation",
        "distance covariance",
        "energy statistics"
      ],
      "topics": [
        "pdcor",
        "pdcor.test",
        "pdcov",
        "pdcov.test"
      ]
    },
    {
      "page": "poisson",
      "title": "Goodness-of-Fit Tests for Poisson Distribution",
      "topics": [
        "poisson.e",
        "poisson.etest",
        "poisson.m",
        "poisson.mtest",
        "poisson.tests"
      ]
    },
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      "page": "sortrank",
      "title": "Sort, order and rank a vector",
      "topics": [
        "sortrank"
      ]
    },
    {
      "page": "U_product",
      "title": "Inner product in the Hilbert space of U-centered distance matrices",
      "concept": [
        "multivariate",
        "distance correlation",
        "distance covariance",
        "energy statistics"
      ],
      "topics": [
        "U_product"
      ]
    },
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      "page": "dcovu",
      "title": "Unbiased dcov and bias-corrected dcor statistics",
      "concept": [
        "independence",
        "multivariate",
        "distance correlation",
        "distance covariance",
        "energy statistics"
      ],
      "topics": [
        "bcdcor",
        "dcovU"
      ]
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