{ "_id": "6a13fc33acfb0bcc41d363fe", "Package": "MultiStatM", "Type": "Package", "Title": "Multivariate Statistical Methods", "Version": "2.1.0", "Authors@R": "c(person(\"Gyorgy\", \"Terdik\", role = \"aut\"),\nperson(\"Emanuele\", \"Taufer\", role = c(\"aut\", \"cre\"),\nemail = \"emanuele.taufer@unitn.it\"))", "Description": "Algorithms to build set partitions and commutator matrices\nand their use in the construction of multivariate d-Hermite\npolynomials; estimation and derivation of theoretical vector\nmoments and vector cumulants of multivariate distributions;\nconversion formulae for multivariate moments and cumulants.\nApplications to estimation and derivation of multivariate\nmeasures of skewness and kurtosis; estimation and derivation of\nasymptotic covariances for d-variate Hermite polynomials,\nmultivariate moments and cumulants and measures of skewness and\nkurtosis. The formulae implemented are discussed in Terdik\n(2021, ISBN:9783030813925), \"Multivariate Statistical Methods\".", "License": "GPL-3", "Encoding": "UTF-8", "RoxygenNote": "7.3.3", "VignetteBuilder": "knitr", "NeedsCompilation": "yes", "Packaged": { "Date": "2026-05-25 07:30:18 UTC", "User": "root" }, "Author": "Gyorgy Terdik [aut], Emanuele Taufer [aut, cre]", "Maintainer": "Emanuele Taufer ", "Config/pak/sysreqs": "libgmp3-dev", "Repository": "https://e-tau.r-universe.dev", "Date/Publication": "2026-01-25 16:40:02 UTC", "RemoteUrl": "https://github.com/cran/MultiStatM", "RemoteRef": "HEAD", "RemoteSha": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "MD5sum": "47a6478866c163e1de4337666c6b3e7a", "_user": "e-tau", "_type": "src", "_file": "MultiStatM_2.1.0.tar.gz", "_fileid": "078bc3afd8a1486e306aa9420789711621e80dc724d9897d6cc8f15b7e4d2c35", "_filesize": 453132, "_sha256": "078bc3afd8a1486e306aa9420789711621e80dc724d9897d6cc8f15b7e4d2c35", "_created": "2026-05-25T07:30:18.000Z", "_published": "2026-05-25T07:37:23.839Z", "_distro": "noble", "_jobs": [ { "job": 77673892847, "time": 146, "config": "linux-devel-arm64", "r": "4.7.0", "check": "OK", "artifact": "7193743543" }, { "job": 77673892871, "time": 127, "config": "linux-devel-x86_64", "r": "4.7.0", "check": "OK", "artifact": "7193739252" }, { "job": 77673892846, "time": 139, "config": "linux-release-arm64", "r": "4.6.0", "check": "OK", "artifact": "7193741731" }, { "job": 77673892850, "time": 136, "config": "linux-release-x86_64", "r": "4.6.0", "check": "OK", "artifact": "7193741208" }, { "job": 77673892918, "time": 150, "config": "macos-oldrel-arm64", "r": "4.5.3", "check": "OK", "artifact": "7193737305" }, { "job": 77673892894, "time": 378, "config": "macos-oldrel-x86_64", "r": "4.5.3", "check": "OK", "artifact": "7193792361" }, { "job": 77673892887, "time": 127, "config": "macos-release-arm64", "r": "4.6.0", "check": "OK", "artifact": "7193735326" }, { "job": 77673892845, "time": 237, "config": "macos-release-x86_64", "r": "4.6.0", "check": "OK", "artifact": "7193759862" }, { "job": 77673475931, "time": 205, "config": "source", "r": "4.6.0", "check": "OK", "artifact": "7193706671" }, { "job": 77673892797, "time": 91, "config": "wasm-release", "r": "4.6.0", "check": "OK", "artifact": "7193730711" }, { "job": 77673892814, "time": 99, "config": "windows-devel", "r": "4.7.0", "check": "OK", "artifact": "7193732388" }, { "job": 77673892889, "time": 150, "config": "windows-oldrel", "r": "4.5.3", "check": "OK", "artifact": "7193743648" }, { "job": 77673892862, "time": 144, "config": "windows-release", "r": "4.6.0", "check": "OK", "artifact": "7193743245" } ], "_buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884", "_status": "success", "_host": "GitHub-Actions", "_upstream": "https://github.com/cran/MultiStatM", "_commit": { "id": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "author": "Emanuele Taufer ", "committer": "cran-robot ", "message": "version 2.1.0\n", "time": 1769359202 }, "_maintainer": { "name": "Emanuele Taufer", "email": "emanuele.taufer@unitn.it", "login": "e-tau", "description": "", "uuid": 8933063 }, "_registered": true, "_dependencies": [ { "package": "R", "version": ">= 3.4.0", "role": "Depends" }, { "package": "Rcpp", "role": "LinkingTo" }, { "package": "arrangements", "role": "Imports" }, { "package": "Matrix", "role": "Imports" }, { "package": "EQL", "role": "Imports" }, { "package": "stats", "role": "Imports" }, { "package": "mvtnorm", "role": "Imports" }, { "package": "Rcpp", "role": "Imports" }, { "package": "MASS", "role": "Suggests" }, { "package": "rmarkdown", "role": "Suggests" }, { "package": "knitr", "role": "Suggests" } ], "_owner": "cran", "_selfowned": true, "_usedby": 0, "_updates": [ { "week": "2026-04", "n": 1 } ], "_tags": [ { "name": "2.1.0", "date": "2026-01-25" } ], "_stars": 0, "_contributors": [ { "user": "e-tau", "count": 5, "uuid": 8933063 } ], "_userbio": { "uuid": 8933063, "type": "user", "name": "e-tau" }, "_downloads": { "count": 187, "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/MultiStatM" }, "_searchresults": 5, "_topics": [ "cpp" ], "_rbuild": "4.6.0", "_assets": [ "extra/citation.cff", "extra/citation.html", "extra/citation.json", "extra/citation.txt", "extra/contents.json", "extra/MultiStatM.html", "extra/NEWS.html", "extra/NEWS.txt", "manual.pdf" ], "_realowner": "e-tau", "_cranurl": false, "_releases": [ { "version": "1.1.0", "date": "2022-08-23" }, { "version": "1.2.0", "date": "2023-06-12" }, { "version": "1.2.1", "date": "2024-01-31" }, { "version": "2.0.0", "date": "2024-07-26" }, { "version": "2.1.0", "date": "2026-01-25" } ], "_exports": [ "CommutatorIndx", "CommutatorMatr", "Cum2Mom", "Edgeworth", "EliminIndx", "EliminMatr", "EVSKGenHyp", "EVSKSkewNorm", "EVSKSkewt", "EVSKUniS", "GramCharlier", "HermiteCoeff", "HermiteCov12", "HermiteN", "HermiteN2X", "IntEdgeworth", "IntGramCharlier", "IntHermiteN", "MargMomCum", "Mom2Cum", "MomCumCFUSN", "MomCumGenHyp", "MomCumMVt", "MomCumSkewNorm", "MomCumUniS", "MomCumZabs", "MTCE", "MVStandardize", "Partitions", "PartitionTypeAll", "PermutationInv", "QplicIndx", "QplicMatr", "rCFUSN", "rCFUSSD", "rSkewNorm", "rUniS", "SampleEdg", "SampleEVSK", "SampleGC", "SampleHermiteN", "SampleKurt", "SampleMomCum", "SampleSkew", "SampleVarianceSkewKurt", "SymIndx", "SymMatr", "UnivMomCum", "VarianceKurt", "VarianceSkew" ], "_help": [ { "page": "CommutatorIndx", "title": "Commutator Index", "concept": [ "Commutators" ], "topics": [ "CommutatorIndx" ] }, { "page": "CommutatorMatr", "title": "Commutator Matrix", "concept": [ "Commutators" ], "topics": [ "CommutatorMatr" ] }, { "page": "Cum2Mom", "title": "Convert cumulants to moments (univariate and multivariate)", "concept": [ "Moments and cumulants" ], "topics": [ "Cum2Mom" ] }, { "page": "Edgeworth", "title": "Edgeworth expansion of a multivariate density", "concept": [ "Approximations" ], "topics": [ "Edgeworth" ] }, { "page": "EliminIndx", "title": "Distinct values selection vector", "concept": [ "Matrices and commutators" ], "topics": [ "EliminIndx" ] }, { "page": "EliminMatr", "title": "Elimination Matrix", "concept": [ "Matrices and commutators" ], "topics": [ "EliminMatr" ] }, { "page": "EVSKGenHyp", "title": "EVSK multivariate Generalized hyperbolic", "concept": [ "Moments and cumulants" ], "topics": [ "EVSKGenHyp" ] }, { "page": "EVSKSkewNorm", "title": "EVSK multivariate Skew Normal", "concept": [ "Moments and cumulants" ], "topics": [ "EVSKSkewNorm" ] }, { "page": "EVSKSkewt", "title": "EVSK multivariate Skew-t", "concept": [ "Moments and cumulants" ], "topics": [ "EVSKSkewt" ] }, { "page": "EVSKUniS", "title": "EVSK of the Uniform distribution on the sphere or its modulus", "concept": [ "Moments and cumulants" ], "topics": [ "EVSKUniS" ] }, { "page": "GramCharlier", "title": "Gram-Charlier approximation to a multivariate density", "concept": [ "Approximations" ], "topics": [ "GramCharlier" ] }, { "page": "HermiteCoeff", "title": "Coefficients of Hermite polynomials", "concept": [ "Hermite Polynomials" ], "topics": [ "HermiteCoeff" ] }, { "page": "HermiteCov12", "title": "Covariance matrix for multivariate T-Hermite polynomials", "concept": [ "Hermite Polynomials" ], "topics": [ "HermiteCov12" ] }, { "page": "HermiteN", "title": "Hermite Polynomials (Univariate and Multivariate)", "concept": [ "Hermite Polynomials" ], "topics": [ "HermiteN" ] }, { "page": "HermiteN2X", "title": "Inverse Hermite Polynomial", "concept": [ "Hermite Polynomials" ], "topics": [ "HermiteN2X" ] }, { "page": "IntEdgeworth", "title": "Integrate Edgeworth density", "concept": [ "Approximations" ], "topics": [ "IntEdgeworth" ] }, { "page": "IntGramCharlier", "title": "Integrate Gram Charlier density", "concept": [ "Approximations" ], "topics": [ "IntGramCharlier" ] }, { "page": "IntHermiteN", "title": "IntHermiteN", "topics": [ "IntHermiteN" ] }, { "page": "MargMomCum", "title": "Marginal moments and cumulants from T-vectors", "concept": [ "Matrices and commutators" ], "topics": [ "MargMomCum" ] }, { "page": "Mom2Cum", "title": "Convert moments to cumulants (univariate and multivariate)", "concept": [ "Moments and cumulants" ], "topics": [ "Mom2Cum" ] }, { "page": "MomCumCFUSN", "title": "Moments and cumulants CFUSN", "concept": [ "Moments and cumulants" ], "topics": [ "MomCumCFUSN" ] }, { "page": "MomCumGenHyp", "title": "Moments and cumulants of the multivariate Generalized Hyperbolic distribution", "concept": [ "Moments and cumulants" ], "topics": [ "MomCumGenHyp" ] }, { "page": "MomCumMVt", "title": "Moments and cumulants Multivariate t-Student distribution", "concept": [ "Moments and cumulants" ], "topics": [ "MomCumMVt" ] }, { "page": "MomCumSkewNorm", "title": "Moments and cumulants d-variate Skew Normal", "concept": [ "Moments and cumulants" ], "topics": [ "MomCumSkewNorm" ] }, { "page": "MomCumUniS", "title": "Moments and cumulants Uniform Distribution on the Sphere", "concept": [ "Moments and cumulants" ], "topics": [ "MomCumUniS" ] }, { "page": "MomCumZabs", "title": "Moments and Cumulants of the Central Folded Normal Distribution", "concept": [ "Moments and cumulants" ], "topics": [ "MomCumZabs" ] }, { "page": "MTCE", "title": "Multivariate tail conditional expectation", "concept": [ "Approximations" ], "topics": [ "MTCE" ] }, { "page": "MVStandardize", "title": "Standardize multivariate data", "topics": [ "MVStandardize" ] }, { "page": "Partitions", "title": "General Partition Function", "concept": [ "Partitions" ], "topics": [ "Partitions" ] }, { "page": "PartitionTypeAll", "title": "Partitions, type and number of partitions", "concept": [ "Partitions" ], "topics": [ "PartitionTypeAll" ] }, { "page": "PermutationInv", "title": "Inverse of a Permutation", "concept": [ "Partitions" ], "topics": [ "PermutationInv" ] }, { "page": "QplicIndx", "title": "Qplication vector", "concept": [ "Matrices and commutators" ], "topics": [ "QplicIndx" ] }, { "page": "QplicMatr", "title": "Qplication Matrix", "concept": [ "Matrices and commutators" ], "topics": [ "QplicMatr" ] }, { "page": "rCFUSN", "title": "Random multivariate CFUSN", "concept": [ "Random generation" ], "topics": [ "rCFUSN" ] }, { "page": "rCFUSSD", "title": "Random multivariate CFUSSD", "concept": [ "Random generation" ], "topics": [ "rCFUSSD" ] }, { "page": "rSkewNorm", "title": "Random Multivariate Skew Normal", "concept": [ "Random generation" ], "topics": [ "rSkewNorm" ] }, { "page": "rUniS", "title": "Random multivariate spherically symmetric distributions", "concept": [ "Random generation" ], "topics": [ "rUniS" ] }, { "page": "SampleEVSK", "title": "Estimation of multivariate Mean, Variance, T-Skewness and T-Kurtosis vectors", "concept": [ "Estimation" ], "topics": [ "SampleEVSK" ] }, { "page": "SampleKurt", "title": "Estimation of Sample Kurtosis (Mardia, MRSz, Total)", "concept": [ "Estimation" ], "topics": [ "SampleKurt" ] }, { "page": "SampleMomCum", "title": "Estimation of multivariate T-Moments and T-Cumulants", "concept": [ "Estimation" ], "topics": [ "SampleMomCum" ] }, { "page": "SampleSkew", "title": "Estimation of Sample Skewness (Mardia, MRSz)", "concept": [ "Estimation" ], "topics": [ "SampleSkew" ] }, { "page": "SampleVarianceSkewKurt", "title": "Estimated Variance of skewness and kurtosis vectors", "topics": [ "SampleVarianceSkewKurt" ] }, { "page": "SymIndx", "title": "Symmetrizing vector", "concept": [ "Matrices and commutators" ], "topics": [ "SymIndx" ] }, { "page": "SymMatr", "title": "Symmetrizer Matrix", "concept": [ "Matrices and commutators" ], "topics": [ "SymMatr" ] }, { "page": "VarianceKurt", "title": "Asymptotic Variance of the estimated kurtosis vector", "concept": [ "Estimation" ], "topics": [ "VarianceKurt" ] }, { "page": "VarianceSkew", "title": "Asymptotic Variance of the estimated skewness vector", "concept": [ "Estimation" ], "topics": [ "VarianceSkew" ] } ], "_rundeps": [ "arrangements", "EQL", "gmp", "lattice", "Matrix", "mvtnorm", "R6", "Rcpp", "ttutils" ], "_sysdeps": [ { "shlib": "libstdc++", "package": "libstdc++6", "source": "gcc", "version": "14.2.0-4ubuntu2~24.04.1", "name": "c++", "homepage": "http://gcc.gnu.org/", "description": "GNU Standard C++ Library v3" } ], "_vignettes": [ { "source": "Overview.Rmd", "filename": "Overview.html", "title": "MultiStatM: overview", "engine": "knitr::rmarkdown", "headings": [ "Background", "Set Partitions", "Commutators, symmetrizer and selection matrices", "Multivariate T-Hermite Polynomials", "Multivariate T-moments and T-cumulants", "Estimation", "Acknowledgement", "References" ], "created": "2024-02-01 02:39:34", "modified": "2026-01-25 16:40:02", "commits": 3 } ], "_score": 2, "_indexed": true, "_nocasepkg": "multistatm", "_universes": [ "e-tau" ], "_binaries": [ { "r": "4.7.0", "os": "linux", "version": "2.1.0", "date": "2026-05-25T07:32:48.000Z", "distro": "noble", "arch": "aarch64", "commit": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "fileid": "d9b34ddab987fbe160a7c30da31350a871c6ac0911b7f06639c2295b5453fab3", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884" }, { "r": "4.7.0", "os": "linux", "version": "2.1.0", "date": "2026-05-25T07:32:28.000Z", "distro": "noble", "arch": "x86_64", "commit": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "fileid": "35879478f4c68bcaa883d0486202e1bb717a99e5d3cca1f1dab60fcd2e0b784e", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884" }, { "r": "4.6.0", "os": "linux", "version": "2.1.0", "date": "2026-05-25T07:32:42.000Z", "distro": "noble", "arch": "aarch64", "commit": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "fileid": "ed55f6d9cd928dcefe1792a1ff701c2da06985a3458d7180d76af1c331c73d2c", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884" }, { "r": "4.6.0", "os": "linux", "version": "2.1.0", "date": "2026-05-25T07:32:35.000Z", "distro": "noble", "arch": "x86_64", "commit": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "fileid": "39ce334e89bf35a37a96f093d8d418a58df11035782287879dd25e022ffca16c", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884" }, { "r": "4.5.3", "os": "mac", "version": "2.1.0", "date": "2026-05-25T07:32:24.000Z", "arch": "aarch64", "commit": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "fileid": "e7456068da4b98140f69b3367b93784b128d1ca9557591319f779e0860065385", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884" }, { "r": "4.5.3", "os": "mac", "version": "2.1.0", "date": "2026-05-25T07:35:07.000Z", "arch": "x86_64", "commit": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "fileid": "eb8629da279e32e91aee6303955e55f939b6230e4708a3f95458e430f4c350f5", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884" }, { "r": "4.6.0", "os": "mac", "version": "2.1.0", "date": "2026-05-25T07:32:18.000Z", "arch": "aarch64", "commit": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "fileid": "0d39551708042a1a748fefac789951de7daa1f08e4a075e9660fe893db48e39c", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884" }, { "r": "4.6.0", "os": "mac", "version": "2.1.0", "date": "2026-05-25T07:33:34.000Z", "arch": "x86_64", "commit": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "fileid": "bc0ad31c651fa29aa814d7456318590fe010dc22f6b59091d6198119b3d36028", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884" }, { "r": "4.6.0", "os": "wasm", "version": "2.1.0", "date": "2026-05-25T07:32:14.000Z", "arch": "emscripten", "commit": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "fileid": "ea135d79f965dcd08848bff9f47b345484201b13e578f08fcfb6b5451b9ac773", "status": "success", "buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884" }, { "r": "4.7.0", "os": "win", "version": "2.1.0", "date": "2026-05-25T07:31:40.000Z", "arch": "x86_64", "commit": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "fileid": "5c43973c5d2905a25cbfde9324d96dc73185d595a464b82d8414b6c4d1bb33bb", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884" }, { "r": "4.5.3", "os": "win", "version": "2.1.0", "date": "2026-05-25T07:31:32.000Z", "arch": "x86_64", "commit": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "fileid": "e38050837402f3b9a1fba1b5dec10e163b9d2b1f21d77e69e93705394f01f87e", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884" }, { "r": "4.6.0", "os": "win", "version": "2.1.0", "date": "2026-05-25T07:32:14.000Z", "arch": "x86_64", "commit": "24cfed420ac4c0ff2a1ad0909bc5c63daf5638b4", "fileid": "8e4e4418733315f3f7ee021a29fccad5db89f44f09582f1712ac6b424b30248a", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/e-tau/actions/runs/26388838884" } ] }