An R package for modeling and simulating generalized spherical and related distributions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-10-28

AUTHORS

John P. Nolan

ABSTRACT

A flexible class of multivariate generalized spherical distributions with star-shaped level sets is developed. To work in dimension above two requires tools from computational geometry and multivariate numerical integration. An algorithm to approximately simulate from these star-shaped distributions is developed; it also works for simulating from more general tessellations. These techniques are implemented in the R package gensphere. More... »

PAGES

14

References to SciGraph publications

  • 2013-01-30. Multivariate elliptically contoured stable distributions: theory and estimation in COMPUTATIONAL STATISTICS
  • 2014-10-01. Geometric disintegration and star-shaped distributions in JOURNAL OF STATISTICAL DISTRIBUTIONS AND APPLICATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1186/s40488-016-0053-0

    DOI

    http://dx.doi.org/10.1186/s40488-016-0053-0

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1028079544


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0103", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Numerical and Computational Mathematics", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Department of Mathematics and Statistics, American University, Washington, DC, USA", 
              "id": "http://www.grid.ac/institutes/grid.63124.32", 
              "name": [
                "Department of Mathematics and Statistics, American University, Washington, DC, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Nolan", 
            "givenName": "John P.", 
            "id": "sg:person.011672042647.68", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011672042647.68"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1186/s40488-014-0020-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049781277", 
              "https://doi.org/10.1186/s40488-014-0020-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00180-013-0396-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043171596", 
              "https://doi.org/10.1007/s00180-013-0396-7"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2016-10-28", 
        "datePublishedReg": "2016-10-28", 
        "description": "A flexible class of multivariate generalized spherical distributions with star-shaped level sets is developed. To work in dimension above two requires tools from computational geometry and multivariate numerical integration. An algorithm to approximately simulate from these star-shaped distributions is developed; it also works for simulating from more general tessellations. These techniques are implemented in the R package gensphere.", 
        "genre": "article", 
        "id": "sg:pub.10.1186/s40488-016-0053-0", 
        "inLanguage": "en", 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1051646", 
            "issn": [
              "2195-5832"
            ], 
            "name": "Journal of Statistical Distributions and Applications", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "3"
          }
        ], 
        "keywords": [
          "multivariate numerical integration", 
          "star-shaped distributions", 
          "computational geometry", 
          "flexible class", 
          "numerical integration", 
          "level sets", 
          "spherical distribution", 
          "related distributions", 
          "multivariate", 
          "algorithm", 
          "tessellation", 
          "class", 
          "modeling", 
          "geometry", 
          "set", 
          "distribution", 
          "package", 
          "dimensions", 
          "integration", 
          "technique", 
          "tool", 
          "star-shaped level sets", 
          "more general tessellations", 
          "general tessellations", 
          "package gensphere", 
          "gensphere"
        ], 
        "name": "An R package for modeling and simulating generalized spherical and related distributions", 
        "pagination": "14", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1028079544"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1186/s40488-016-0053-0"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1186/s40488-016-0053-0", 
          "https://app.dimensions.ai/details/publication/pub.1028079544"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2022-01-01T18:39", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/article/article_706.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1186/s40488-016-0053-0"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1186/s40488-016-0053-0'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1186/s40488-016-0053-0'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1186/s40488-016-0053-0'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1186/s40488-016-0053-0'


     

    This table displays all metadata directly associated to this object as RDF triples.

    91 TRIPLES      22 PREDICATES      53 URIs      43 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1186/s40488-016-0053-0 schema:about anzsrc-for:01
    2 anzsrc-for:0103
    3 schema:author N93ce7bd5d4a54b5aa907ab88d3e940fe
    4 schema:citation sg:pub.10.1007/s00180-013-0396-7
    5 sg:pub.10.1186/s40488-014-0020-6
    6 schema:datePublished 2016-10-28
    7 schema:datePublishedReg 2016-10-28
    8 schema:description A flexible class of multivariate generalized spherical distributions with star-shaped level sets is developed. To work in dimension above two requires tools from computational geometry and multivariate numerical integration. An algorithm to approximately simulate from these star-shaped distributions is developed; it also works for simulating from more general tessellations. These techniques are implemented in the R package gensphere.
    9 schema:genre article
    10 schema:inLanguage en
    11 schema:isAccessibleForFree true
    12 schema:isPartOf Ne0d4f3e6d0764a82aa44b8c17663d3ad
    13 Nf34dcb31ad7f4fdf9464b0705a1f13a6
    14 sg:journal.1051646
    15 schema:keywords algorithm
    16 class
    17 computational geometry
    18 dimensions
    19 distribution
    20 flexible class
    21 general tessellations
    22 gensphere
    23 geometry
    24 integration
    25 level sets
    26 modeling
    27 more general tessellations
    28 multivariate
    29 multivariate numerical integration
    30 numerical integration
    31 package
    32 package gensphere
    33 related distributions
    34 set
    35 spherical distribution
    36 star-shaped distributions
    37 star-shaped level sets
    38 technique
    39 tessellation
    40 tool
    41 schema:name An R package for modeling and simulating generalized spherical and related distributions
    42 schema:pagination 14
    43 schema:productId N38dafb928e054f78bdc4979ae255c4b0
    44 Nbfbbce297d734c59a98dc0c0d90e37cf
    45 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028079544
    46 https://doi.org/10.1186/s40488-016-0053-0
    47 schema:sdDatePublished 2022-01-01T18:39
    48 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    49 schema:sdPublisher Nc32f72349f6a4c669a47c81d7db461b9
    50 schema:url https://doi.org/10.1186/s40488-016-0053-0
    51 sgo:license sg:explorer/license/
    52 sgo:sdDataset articles
    53 rdf:type schema:ScholarlyArticle
    54 N38dafb928e054f78bdc4979ae255c4b0 schema:name dimensions_id
    55 schema:value pub.1028079544
    56 rdf:type schema:PropertyValue
    57 N93ce7bd5d4a54b5aa907ab88d3e940fe rdf:first sg:person.011672042647.68
    58 rdf:rest rdf:nil
    59 Nbfbbce297d734c59a98dc0c0d90e37cf schema:name doi
    60 schema:value 10.1186/s40488-016-0053-0
    61 rdf:type schema:PropertyValue
    62 Nc32f72349f6a4c669a47c81d7db461b9 schema:name Springer Nature - SN SciGraph project
    63 rdf:type schema:Organization
    64 Ne0d4f3e6d0764a82aa44b8c17663d3ad schema:issueNumber 1
    65 rdf:type schema:PublicationIssue
    66 Nf34dcb31ad7f4fdf9464b0705a1f13a6 schema:volumeNumber 3
    67 rdf:type schema:PublicationVolume
    68 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    69 schema:name Mathematical Sciences
    70 rdf:type schema:DefinedTerm
    71 anzsrc-for:0103 schema:inDefinedTermSet anzsrc-for:
    72 schema:name Numerical and Computational Mathematics
    73 rdf:type schema:DefinedTerm
    74 sg:journal.1051646 schema:issn 2195-5832
    75 schema:name Journal of Statistical Distributions and Applications
    76 schema:publisher Springer Nature
    77 rdf:type schema:Periodical
    78 sg:person.011672042647.68 schema:affiliation grid-institutes:grid.63124.32
    79 schema:familyName Nolan
    80 schema:givenName John P.
    81 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011672042647.68
    82 rdf:type schema:Person
    83 sg:pub.10.1007/s00180-013-0396-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043171596
    84 https://doi.org/10.1007/s00180-013-0396-7
    85 rdf:type schema:CreativeWork
    86 sg:pub.10.1186/s40488-014-0020-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049781277
    87 https://doi.org/10.1186/s40488-014-0020-6
    88 rdf:type schema:CreativeWork
    89 grid-institutes:grid.63124.32 schema:alternateName Department of Mathematics and Statistics, American University, Washington, DC, USA
    90 schema:name Department of Mathematics and Statistics, American University, Washington, DC, USA
    91 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...