{ "_id": "6a1f1916b401979e7341ee8c", "Package": "mnt", "Type": "Package", "Title": "Affine Invariant Tests of Multivariate Normality", "Version": "1.3", "Authors@R": "c(person(\"Lucas\", \"Butsch\", email=\"lucas.butsch@gmail.com\", role=c(\"aut\")), person(\"Bruno\", \"Ebner\", email=\"bruno.ebner@kit.edu\", role = c(\"aut\", \"cre\")), person(\"Jaco\", \"Visagie\", email=\"jaco.visagie@nwu.ac.za\", role=c(\"ctb\")), person(\"Johann\", \"Siemens\", email=\"johann-siemens@web.de\", role=c(\"ctb\")))", "Description": "Various affine invariant multivariate normality tests are\nprovided. It is designed to accompany the survey article Ebner,\nB. and Henze, N. (2020) titled \"Tests for\nmultivariate normality -- a critical review with emphasis on\nweighted L^2-statistics\". We implement new and time honoured\nL^2-type tests of multivariate normality, such as the\nBaringhaus-Henze-Epps-Pulley (BHEP) test, the Henze-Zirkler\ntest, the test of Henze-Jiménes-Gamero, the test of\nHenze-Jiménes-Gamero-Meintanis, the test of Henze-Visage, the\nDörr-Ebner-Henze test based on harmonic oscillator and the\nDörr-Ebner-Henze test based on a double estimation in a PDE.\nSecondly, we include the measures of multivariate skewness and\nkurtosis by Mardia, Koziol, Malkovich and Afifi and Móri,\nRohatgi and Székely, as well as the associated tests. Thirdly,\nwe include the tests of multivariate normality by Cox and\nSmall, the 'energy' test of Székely and Rizzo, the tests based\non spherical harmonics by Manzotti and Quiroz and the test of\nPudelko. All the functions and tests need the data to be a n x\nd matrix where n is the samplesize (number of rows) and d is\nthe dimension (number of columns).", "License": "CC BY 4.0", "Encoding": "UTF-8", "LazyData": "true", "Author": "Lucas Butsch [aut], Bruno Ebner [aut, cre], Jaco Visagie [ctb],\nJohann Siemens [ctb]", "RoxygenNote": "7.1.0", "Maintainer": "Bruno Ebner ", "NeedsCompilation": "no", "Packaged": { "Date": "2026-05-17 05:29:33 UTC", "User": "root" }, "Repository": "https://ebner-kit.r-universe.dev", "Date/Publication": "2020-07-31 12:20:09 UTC", "RemoteUrl": "https://github.com/cran/mnt", "RemoteRef": "HEAD", "RemoteSha": "d4ca733cff479dacfd54fe404bacdc1022e092b5", "MD5sum": "3bafafa69c1e7bb7c56a1b2faf7a8f53", "_user": "ebner-kit", "_type": "src", "_file": "mnt_1.3.tar.gz", "_fileid": "7e55552623107ac8b19ac6e696fc0048d557ec2dc3b20945b3c7bb78e8809208", "_filesize": 341191, "_sha256": "7e55552623107ac8b19ac6e696fc0048d557ec2dc3b20945b3c7bb78e8809208", "_created": "2026-05-17T05:29:33.000Z", "_published": "2026-06-02T17:55:34.201Z", "_distro": "noble", "_jobs": [ { "job": 79137133649, "time": 111, "config": "linux-devel-x86_64", "r": "4.7.0", "check": "OK", "artifact": "7039632499" }, { "job": 79137134284, "time": 119, "config": "linux-release-x86_64", "r": "4.6.0", "check": "OK", "artifact": "7039633092" }, { "job": 79137134168, "time": 73, "config": "macos-oldrel-arm64", "r": "4.5.3", "check": "OK", "artifact": "7039628793" }, { "job": 79137133934, "time": 104, "config": "macos-release-arm64", "r": "4.6.0", "check": "OK", "artifact": "7039631710" }, { "job": 79137133483, "time": 151, "config": "source", "r": "4.6.0", "check": "OK", "artifact": "7039620859" }, { "job": 79137133170, "time": 94, "config": "wasm-release", "r": "4.6.0", "check": "OK", "artifact": "7365719072" }, { "job": 79137134102, "time": 99, "config": "windows-devel", "r": "4.7.0", "check": "OK", "artifact": "7039631136" }, { "job": 79137134354, "time": 91, "config": "windows-oldrel", "r": "4.5.3", "check": "OK", "artifact": "7039630308" }, { "job": 79137133833, "time": 73, "config": "windows-release", "r": "4.6.0", "check": "OK", "artifact": "7039628801" } ], "_buildurl": "https://github.com/r-universe/ebner-kit/actions/runs/25982359742", "_status": "success", "_host": "GitHub-Actions", "_upstream": "https://github.com/cran/mnt", "_commit": { "id": "d4ca733cff479dacfd54fe404bacdc1022e092b5", "author": "Bruno Ebner ", "committer": "cran-robot ", "message": "version 1.3\n", "time": 1596198009 }, "_maintainer": { "name": "Bruno Ebner", "email": "bruno.ebner@kit.edu", "login": "ebner-kit", "description": "", "uuid": 58847375 }, "_registered": true, "_dependencies": [ { "package": "R", "version": ">= 3.5.0", "role": "Depends" }, { "package": "MASS", "role": "Imports" }, { "package": "pracma", "role": "Imports" }, { "package": "utils", "role": "Imports" } ], "_owner": "cran", "_selfowned": true, "_usedby": 0, "_updates": [], "_tags": [], "_stars": 0, "_contributors": [ { "user": "ebner-kit", "count": 3, "uuid": 58847375 } ], "_userbio": { "uuid": 58847375, "type": "user", "name": "Bruno Ebner" }, "_downloads": { "count": 226, "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/mnt" }, "_searchresults": 5, "_rbuild": "4.6.0", "_assets": [ "extra/citation.cff", "extra/citation.html", "extra/citation.json", "extra/citation.txt", "extra/contents.json", "extra/mnt.html", "extra/readme.html", "extra/readme.md", "manual.pdf" ], "_realowner": "ebner-kit", "_cranurl": false, "_releases": [ { "version": "1.0", "date": "2020-04-23" }, { "version": "1.2", "date": "2020-04-26" }, { "version": "1.3", "date": "2020-07-31" } ], "_exports": [ "BHEP", "CS", "cv.quan", "DEHT", "DEHU", "EHS", "HJG", "HJM", "HV", "HZ", "KKurt", "MAKurt", "MASkew", "MKurt", "MQ1", "MQ2", "MRSSkew", "MSkew", "PU", "SR", "standard", "test.BHEP", "test.CS", "test.DEHT", "test.DEHU", "test.EHS", "test.HJG", "test.HJM", "test.HV", "test.HZ", "test.KKurt", "test.MAKurt", "test.MASkew", "test.MKurt", "test.MQ1", "test.MQ2", "test.MRSSkew", "test.MSkew", "test.PU", "test.SR" ], "_datasets": [ { "name": "Quantile09", "title": "Simulated empirical 90% quantiles of the tests contained in package 'mnt'", "object": "Quantile09", "class": [ "matrix", "array" ], "fields": [ "dim", "samplesize", "BHEP", "HZ", "HV", "HJG", "HJM", "DEHT", "DEHU", "SR", "MQ1", "MQ2", "CS", "PU", "MSkew", "MKurt", "MASkew", "KKurt", "MRSSkew", "MAKurt" ], "rows": 9, "table": true, "tojson": true }, { "name": "Quantile095", "title": "Simulated empirical 95% quantiles of the tests contained in package 'mnt'", "object": "Quantile095", "class": [ "matrix", "array" ], "fields": [ "dim", "samplesize", "BHEP", "HZ", "HV", "HJG", "HJM", "DEHT", "DEHU", "SR", "MQ1", "MQ2", "CS", "PU", "MSkew", "MKurt", "MASkew", "KKurt", "MRSSkew", "MAKurt" ], "rows": 9, "table": true, "tojson": true }, { "name": "Quantile099", "title": "Simulated empirical 99% quantiles of the tests contained in package 'mnt'", "object": "Quantile099", "class": [ "matrix", "array" ], "fields": [ "dim", "samplesize", "BHEP", "HZ", "HV", "HJG", "HJM", "DEHT", "DEHU", "SR", "MQ1", "MQ2", "CS", "PU", "MSkew", "MKurt", "MASkew", "KKurt", "MRSSkew", "MAKurt" ], "rows": 9, "table": true, "tojson": true } ], "_help": [ { "page": "BHEP", "title": "Statistic of the BHEP-test", "topics": [ "BHEP" ] }, { "page": "CS", "title": "Statistic of the test of Cox and Small", "topics": [ "CS" ] }, { "page": "cv.quan", "title": "Monte Carlo simulation of quantiles for normality tests", "topics": [ "cv.quan" ] }, { "page": "DEHT", "title": "Statistic of the DEH test based on harmonic oscillator", "topics": [ "DEHT" ] }, { "page": "DEHU", "title": "Statistic of the DEH test based on a double estimation in PDE", "topics": [ "DEHU" ] }, { "page": "EHS", "title": "Statistic of the EHS test based on a multivariate Stein equation", "topics": [ "EHS" ] }, { "page": "HJG", "title": "Henze-Jiménes-Gamero test statistic", "topics": [ "HJG" ] }, { "page": "HJM", "title": "statistic of the Henze-Jiménes-Gamero-Meintanis test", "topics": [ "HJM" ] }, { "page": "HV", "title": "statistic of the Henze-Visagie test", "topics": [ "HV" ] }, { "page": "HZ", "title": "Statistic of the Henze-Zirkler test", "topics": [ "HZ" ] }, { "page": "KKurt", "title": "Koziols measure of multivariate sample kurtosis", "topics": [ "KKurt" ] }, { "page": "MAKurt", "title": "multivariate kurtosis in the sense of Malkovich and Afifi", "topics": [ "MAKurt" ] }, { "page": "MASkew", "title": "multivariate skewness in the sense of Malkovich and Afifi", "topics": [ "MASkew" ] }, { "page": "MKurt", "title": "Mardias measure of multivariate sample kurtosis", "topics": [ "MKurt" ] }, { "page": "MQ1", "title": "first statistic of Manzotti and Quiroz", "topics": [ "MQ1" ] }, { "page": "MQ2", "title": "second statistic of Manzotti und Quiroz", "topics": [ "MQ2" ] }, { "page": "MRSSkew", "title": "multivariate skewness of Móri, Rohatgi and Székely", "topics": [ "MRSSkew" ] }, { "page": "MSkew", "title": "Mardias measure of multivariate sample skewness", "topics": [ "MSkew" ] }, { "page": "print.mnt", "title": "Print method for tests of multivariate normality", "topics": [ "print.mnt" ] }, { "page": "PU", "title": "Statistic of the Pudelko test", "topics": [ "PU" ] }, { "page": "Quantile09", "title": "Simulated empirical 90% quantiles of the tests contained in package 'mnt'", "topics": [ "Quantile09" ] }, { "page": "Quantile095", "title": "Simulated empirical 95% quantiles of the tests contained in package 'mnt'", "topics": [ "Quantile095" ] }, { "page": "Quantile099", "title": "Simulated empirical 99% quantiles of the tests contained in package 'mnt'", "topics": [ "Quantile099" ] }, { "page": "SR", "title": "statistic of the Székely-Rizzo test", "topics": [ "SR" ] }, { "page": "standard", "title": "Empirical scaled residuals", "topics": [ "standard" ] }, { "page": "test.BHEP", "title": "Baringhaus-Henze-Epps-Pulley (BHEP) test", "topics": [ "test.BHEP" ] }, { "page": "test.CS", "title": "multivariate normality test of Cox and Small", "topics": [ "test.CS" ] }, { "page": "test.DEHT", "title": "Doerr-Ebner-Henze test of multivariate normality based on harmonic oscillator", "topics": [ "test.DEHT" ] }, { "page": "test.DEHU", "title": "Doerr-Ebner-Henze test of multivariate normality based on a double estimation in a PDE", "topics": [ "test.DEHU" ] }, { "page": "test.EHS", "title": "Ebner-Henze-Strieder test of multivariate normality based on Fourier methods in a multivariate Stein equation", "topics": [ "test.EHS" ] }, { "page": "test.HJG", "title": "Henze-Jimenes-Gamero test of multivariate normality", "topics": [ "test.HJG" ] }, { "page": "test.HJM", "title": "Henze-Jimenes-Gamero-Meintanis test of multivariate normality", "topics": [ "test.HJM" ] }, { "page": "test.HV", "title": "The Henze-Visagie test of multivariate normality", "topics": [ "test.HV" ] }, { "page": "test.HZ", "title": "The 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