Multivariate functional outlier detection View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2015-07

AUTHORS

Mia Hubert, Peter J. Rousseeuw, Pieter Segaert

ABSTRACT

Functional data are occurring more and more often in practice, and various statistical techniques have been developed to analyze them. In this paper we consider multivariate functional data, where for each curve and each time point a p-dimensional vector of measurements is observed. For functional data the study of outlier detection has started only recently, and was mostly limited to univariate curves (p=1). In this paper we set up a taxonomy of functional outliers, and construct new numerical and graphical techniques for the detection of outliers in multivariate functional data, with univariate curves included as a special case. Our tools include statistical depth functions and distance measures derived from them. The methods we study are affine invariant in p-dimensional space, and do not assume elliptical or any other symmetry. More... »

PAGES

177-202

References to SciGraph publications

Journal

TITLE

Statistical Methods & Applications

ISSUE

2

VOLUME

24

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10260-015-0297-8

DOI

http://dx.doi.org/10.1007/s10260-015-0297-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1046060262


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/2008/0104", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Statistics", 
        "type": "DefinedTerm"
      }, 
      {
        "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"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "KU Leuven", 
          "id": "https://www.grid.ac/institutes/grid.5596.f", 
          "name": [
            "Department of Mathematics, KU Leuven, Celestijnenlaan 200B, 3001, Heverlee, Belgium"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Hubert", 
        "givenName": "Mia", 
        "id": "sg:person.014406052301.59", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014406052301.59"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "KU Leuven", 
          "id": "https://www.grid.ac/institutes/grid.5596.f", 
          "name": [
            "Department of Mathematics, KU Leuven, Celestijnenlaan 200B, 3001, Heverlee, Belgium"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Rousseeuw", 
        "givenName": "Peter J.", 
        "id": "sg:person.0775337371.63", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0775337371.63"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "KU Leuven", 
          "id": "https://www.grid.ac/institutes/grid.5596.f", 
          "name": [
            "Department of Mathematics, KU Leuven, Celestijnenlaan 200B, 3001, Heverlee, Belgium"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Segaert", 
        "givenName": "Pieter", 
        "id": "sg:person.011765560023.72", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011765560023.72"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/j.jspi.2009.07.004", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003050133"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.csda.2007.11.008", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003559609"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.csda.2011.12.016", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004525897"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/03610918.2012.720744", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004620053"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/10408340600969403", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005802709"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jmva.2001.2053", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010084670"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0378-3758(99)00142-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015898257"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.csda.2010.11.014", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1016811129"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00180-007-0053-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018931290", 
          "https://doi.org/10.1007/s00180-007-0053-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00180-007-0053-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018931290", 
          "https://doi.org/10.1007/s00180-007-0053-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1093/biostatistics/kxu006", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1019999042"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11634-010-0066-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020042723", 
          "https://doi.org/10.1007/s11634-010-0066-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11634-010-0066-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020042723", 
          "https://doi.org/10.1007/s11634-010-0066-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/cem.991", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020200872"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/cem.940", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021377108"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/cem.940", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021377108"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-35494-6_2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023691071", 
          "https://doi.org/10.1007/978-3-642-35494-6_2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/1467-9868.00129", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024462694"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/a:1008945009397", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024868624", 
          "https://doi.org/10.1023/a:1008945009397"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aos/1016218226", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028065508"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0167-9473(99)00112-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028883369"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jmva.1994.1002", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033615659"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0167-9473(96)00027-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034778667"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jmva.1998.1804", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036092292"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.csda.2011.03.011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037891310"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/env.878", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1040105854"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.csda.2010.10.024", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1040455060"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jmva.2000.1929", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046880751"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02595706", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047578333", 
          "https://doi.org/10.1007/bf02595706"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02595706", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047578333", 
          "https://doi.org/10.1007/bf02595706"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11634-014-0166-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1048004180", 
          "https://doi.org/10.1007/s11634-014-0166-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/cem.1123", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050539672"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.csda.2005.10.012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051809453"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.csda.2005.10.012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051809453"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/01621459.2013.856795", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058306142"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/03610926.2012.746368", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058330123"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1198/106186004x12632", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064199442"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1198/jasa.2009.0108", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064200377"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1198/jcgs.2009.08158", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064201023"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1198/jcgs.2011.09224", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064201124"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/09-aos723", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064390911"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aos/1016218227", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064405926"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aos/1017939144", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064405960"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aos/1031833661", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064406197"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aos/1065705115", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064406456"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aos/1069362747", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064406525"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aos/1176347507", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064408383"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aos/1176348890", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064408724"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1366/0003702021955358", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1065255879"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1366/0003702021955358", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1065255879"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3150/bj/1089206404", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071057232"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/2986073", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1101983592"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/2986073", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1101983592"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/pl00020903", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1106249797", 
          "https://doi.org/10.1007/pl00020903"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1107763504", 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/0471725382", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1107763504"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1109503092", 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1109503092", 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1109503092", 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/0470010940", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1109503092"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/0470010940", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1109503092"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2015-07", 
    "datePublishedReg": "2015-07-01", 
    "description": "Functional data are occurring more and more often in practice, and various statistical techniques have been developed to analyze them. In this paper we consider multivariate functional data, where for each curve and each time point a p-dimensional vector of measurements is observed. For functional data the study of outlier detection has started only recently, and was mostly limited to univariate curves (p=1). In this paper we set up a taxonomy of functional outliers, and construct new numerical and graphical techniques for the detection of outliers in multivariate functional data, with univariate curves included as a special case. Our tools include statistical depth functions and distance measures derived from them. The methods we study are affine invariant in p-dimensional space, and do not assume elliptical or any other symmetry.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s10260-015-0297-8", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1043636", 
        "issn": [
          "1618-2510", 
          "1613-981X"
        ], 
        "name": "Statistical Methods & Applications", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "24"
      }
    ], 
    "name": "Multivariate functional outlier detection", 
    "pagination": "177-202", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "db67f6b510e87911a7c7904937c4ae3492cabf24661ce2f8fdebf3dd5c5a9d8c"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s10260-015-0297-8"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1046060262"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s10260-015-0297-8", 
      "https://app.dimensions.ai/details/publication/pub.1046060262"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T22:46", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8690_00000594.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2Fs10260-015-0297-8"
  }
]
 

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.10.1007/s10260-015-0297-8'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s10260-015-0297-8'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10260-015-0297-8'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10260-015-0297-8'


 

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

233 TRIPLES      21 PREDICATES      78 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s10260-015-0297-8 schema:about anzsrc-for:01
2 anzsrc-for:0104
3 schema:author N8a40aaf37d54423badfadfe496f7acf8
4 schema:citation sg:pub.10.1007/978-3-642-35494-6_2
5 sg:pub.10.1007/bf02595706
6 sg:pub.10.1007/pl00020903
7 sg:pub.10.1007/s00180-007-0053-0
8 sg:pub.10.1007/s11634-010-0066-3
9 sg:pub.10.1007/s11634-014-0166-6
10 sg:pub.10.1023/a:1008945009397
11 https://app.dimensions.ai/details/publication/pub.1107763504
12 https://app.dimensions.ai/details/publication/pub.1109503092
13 https://doi.org/10.1002/0470010940
14 https://doi.org/10.1002/0471725382
15 https://doi.org/10.1002/cem.1123
16 https://doi.org/10.1002/cem.940
17 https://doi.org/10.1002/cem.991
18 https://doi.org/10.1002/env.878
19 https://doi.org/10.1006/jmva.1994.1002
20 https://doi.org/10.1006/jmva.1998.1804
21 https://doi.org/10.1006/jmva.2000.1929
22 https://doi.org/10.1006/jmva.2001.2053
23 https://doi.org/10.1016/j.csda.2005.10.012
24 https://doi.org/10.1016/j.csda.2007.11.008
25 https://doi.org/10.1016/j.csda.2010.10.024
26 https://doi.org/10.1016/j.csda.2010.11.014
27 https://doi.org/10.1016/j.csda.2011.03.011
28 https://doi.org/10.1016/j.csda.2011.12.016
29 https://doi.org/10.1016/j.jspi.2009.07.004
30 https://doi.org/10.1016/s0167-9473(96)00027-8
31 https://doi.org/10.1016/s0167-9473(99)00112-7
32 https://doi.org/10.1016/s0378-3758(99)00142-1
33 https://doi.org/10.1080/01621459.2013.856795
34 https://doi.org/10.1080/03610918.2012.720744
35 https://doi.org/10.1080/03610926.2012.746368
36 https://doi.org/10.1080/10408340600969403
37 https://doi.org/10.1093/biostatistics/kxu006
38 https://doi.org/10.1111/1467-9868.00129
39 https://doi.org/10.1198/106186004x12632
40 https://doi.org/10.1198/jasa.2009.0108
41 https://doi.org/10.1198/jcgs.2009.08158
42 https://doi.org/10.1198/jcgs.2011.09224
43 https://doi.org/10.1214/09-aos723
44 https://doi.org/10.1214/aos/1016218226
45 https://doi.org/10.1214/aos/1016218227
46 https://doi.org/10.1214/aos/1017939144
47 https://doi.org/10.1214/aos/1031833661
48 https://doi.org/10.1214/aos/1065705115
49 https://doi.org/10.1214/aos/1069362747
50 https://doi.org/10.1214/aos/1176347507
51 https://doi.org/10.1214/aos/1176348890
52 https://doi.org/10.1366/0003702021955358
53 https://doi.org/10.2307/2986073
54 https://doi.org/10.3150/bj/1089206404
55 schema:datePublished 2015-07
56 schema:datePublishedReg 2015-07-01
57 schema:description Functional data are occurring more and more often in practice, and various statistical techniques have been developed to analyze them. In this paper we consider multivariate functional data, where for each curve and each time point a p-dimensional vector of measurements is observed. For functional data the study of outlier detection has started only recently, and was mostly limited to univariate curves (p=1). In this paper we set up a taxonomy of functional outliers, and construct new numerical and graphical techniques for the detection of outliers in multivariate functional data, with univariate curves included as a special case. Our tools include statistical depth functions and distance measures derived from them. The methods we study are affine invariant in p-dimensional space, and do not assume elliptical or any other symmetry.
58 schema:genre research_article
59 schema:inLanguage en
60 schema:isAccessibleForFree true
61 schema:isPartOf Nd44f7baa069d4ba8b6bf722705ba1d00
62 Ndee6422c47ea4093b0789154c9009e7a
63 sg:journal.1043636
64 schema:name Multivariate functional outlier detection
65 schema:pagination 177-202
66 schema:productId N386f5237973b438c92481019f92fc8b1
67 N3b6f3e7d4dac4b62bc64dd0102b9e375
68 Nd8f953f2041b47d9a309af6baae30496
69 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046060262
70 https://doi.org/10.1007/s10260-015-0297-8
71 schema:sdDatePublished 2019-04-10T22:46
72 schema:sdLicense https://scigraph.springernature.com/explorer/license/
73 schema:sdPublisher N405bfd555c2f40039a95921b06fd21c8
74 schema:url http://link.springer.com/10.1007%2Fs10260-015-0297-8
75 sgo:license sg:explorer/license/
76 sgo:sdDataset articles
77 rdf:type schema:ScholarlyArticle
78 N28ee996c10aa4c7a8e414ca693d510fd rdf:first sg:person.011765560023.72
79 rdf:rest rdf:nil
80 N386f5237973b438c92481019f92fc8b1 schema:name doi
81 schema:value 10.1007/s10260-015-0297-8
82 rdf:type schema:PropertyValue
83 N3b6f3e7d4dac4b62bc64dd0102b9e375 schema:name readcube_id
84 schema:value db67f6b510e87911a7c7904937c4ae3492cabf24661ce2f8fdebf3dd5c5a9d8c
85 rdf:type schema:PropertyValue
86 N405bfd555c2f40039a95921b06fd21c8 schema:name Springer Nature - SN SciGraph project
87 rdf:type schema:Organization
88 N8a40aaf37d54423badfadfe496f7acf8 rdf:first sg:person.014406052301.59
89 rdf:rest Ne607c1cb6a85473da49cbdefbd2480f3
90 Nd44f7baa069d4ba8b6bf722705ba1d00 schema:issueNumber 2
91 rdf:type schema:PublicationIssue
92 Nd8f953f2041b47d9a309af6baae30496 schema:name dimensions_id
93 schema:value pub.1046060262
94 rdf:type schema:PropertyValue
95 Ndee6422c47ea4093b0789154c9009e7a schema:volumeNumber 24
96 rdf:type schema:PublicationVolume
97 Ne607c1cb6a85473da49cbdefbd2480f3 rdf:first sg:person.0775337371.63
98 rdf:rest N28ee996c10aa4c7a8e414ca693d510fd
99 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
100 schema:name Mathematical Sciences
101 rdf:type schema:DefinedTerm
102 anzsrc-for:0104 schema:inDefinedTermSet anzsrc-for:
103 schema:name Statistics
104 rdf:type schema:DefinedTerm
105 sg:journal.1043636 schema:issn 1613-981X
106 1618-2510
107 schema:name Statistical Methods & Applications
108 rdf:type schema:Periodical
109 sg:person.011765560023.72 schema:affiliation https://www.grid.ac/institutes/grid.5596.f
110 schema:familyName Segaert
111 schema:givenName Pieter
112 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011765560023.72
113 rdf:type schema:Person
114 sg:person.014406052301.59 schema:affiliation https://www.grid.ac/institutes/grid.5596.f
115 schema:familyName Hubert
116 schema:givenName Mia
117 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014406052301.59
118 rdf:type schema:Person
119 sg:person.0775337371.63 schema:affiliation https://www.grid.ac/institutes/grid.5596.f
120 schema:familyName Rousseeuw
121 schema:givenName Peter J.
122 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0775337371.63
123 rdf:type schema:Person
124 sg:pub.10.1007/978-3-642-35494-6_2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023691071
125 https://doi.org/10.1007/978-3-642-35494-6_2
126 rdf:type schema:CreativeWork
127 sg:pub.10.1007/bf02595706 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047578333
128 https://doi.org/10.1007/bf02595706
129 rdf:type schema:CreativeWork
130 sg:pub.10.1007/pl00020903 schema:sameAs https://app.dimensions.ai/details/publication/pub.1106249797
131 https://doi.org/10.1007/pl00020903
132 rdf:type schema:CreativeWork
133 sg:pub.10.1007/s00180-007-0053-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018931290
134 https://doi.org/10.1007/s00180-007-0053-0
135 rdf:type schema:CreativeWork
136 sg:pub.10.1007/s11634-010-0066-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020042723
137 https://doi.org/10.1007/s11634-010-0066-3
138 rdf:type schema:CreativeWork
139 sg:pub.10.1007/s11634-014-0166-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048004180
140 https://doi.org/10.1007/s11634-014-0166-6
141 rdf:type schema:CreativeWork
142 sg:pub.10.1023/a:1008945009397 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024868624
143 https://doi.org/10.1023/a:1008945009397
144 rdf:type schema:CreativeWork
145 https://app.dimensions.ai/details/publication/pub.1107763504 schema:CreativeWork
146 https://app.dimensions.ai/details/publication/pub.1109503092 schema:CreativeWork
147 https://doi.org/10.1002/0470010940 schema:sameAs https://app.dimensions.ai/details/publication/pub.1109503092
148 rdf:type schema:CreativeWork
149 https://doi.org/10.1002/0471725382 schema:sameAs https://app.dimensions.ai/details/publication/pub.1107763504
150 rdf:type schema:CreativeWork
151 https://doi.org/10.1002/cem.1123 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050539672
152 rdf:type schema:CreativeWork
153 https://doi.org/10.1002/cem.940 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021377108
154 rdf:type schema:CreativeWork
155 https://doi.org/10.1002/cem.991 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020200872
156 rdf:type schema:CreativeWork
157 https://doi.org/10.1002/env.878 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040105854
158 rdf:type schema:CreativeWork
159 https://doi.org/10.1006/jmva.1994.1002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033615659
160 rdf:type schema:CreativeWork
161 https://doi.org/10.1006/jmva.1998.1804 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036092292
162 rdf:type schema:CreativeWork
163 https://doi.org/10.1006/jmva.2000.1929 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046880751
164 rdf:type schema:CreativeWork
165 https://doi.org/10.1006/jmva.2001.2053 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010084670
166 rdf:type schema:CreativeWork
167 https://doi.org/10.1016/j.csda.2005.10.012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051809453
168 rdf:type schema:CreativeWork
169 https://doi.org/10.1016/j.csda.2007.11.008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003559609
170 rdf:type schema:CreativeWork
171 https://doi.org/10.1016/j.csda.2010.10.024 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040455060
172 rdf:type schema:CreativeWork
173 https://doi.org/10.1016/j.csda.2010.11.014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016811129
174 rdf:type schema:CreativeWork
175 https://doi.org/10.1016/j.csda.2011.03.011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037891310
176 rdf:type schema:CreativeWork
177 https://doi.org/10.1016/j.csda.2011.12.016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004525897
178 rdf:type schema:CreativeWork
179 https://doi.org/10.1016/j.jspi.2009.07.004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003050133
180 rdf:type schema:CreativeWork
181 https://doi.org/10.1016/s0167-9473(96)00027-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034778667
182 rdf:type schema:CreativeWork
183 https://doi.org/10.1016/s0167-9473(99)00112-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028883369
184 rdf:type schema:CreativeWork
185 https://doi.org/10.1016/s0378-3758(99)00142-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015898257
186 rdf:type schema:CreativeWork
187 https://doi.org/10.1080/01621459.2013.856795 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058306142
188 rdf:type schema:CreativeWork
189 https://doi.org/10.1080/03610918.2012.720744 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004620053
190 rdf:type schema:CreativeWork
191 https://doi.org/10.1080/03610926.2012.746368 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058330123
192 rdf:type schema:CreativeWork
193 https://doi.org/10.1080/10408340600969403 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005802709
194 rdf:type schema:CreativeWork
195 https://doi.org/10.1093/biostatistics/kxu006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019999042
196 rdf:type schema:CreativeWork
197 https://doi.org/10.1111/1467-9868.00129 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024462694
198 rdf:type schema:CreativeWork
199 https://doi.org/10.1198/106186004x12632 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064199442
200 rdf:type schema:CreativeWork
201 https://doi.org/10.1198/jasa.2009.0108 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064200377
202 rdf:type schema:CreativeWork
203 https://doi.org/10.1198/jcgs.2009.08158 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064201023
204 rdf:type schema:CreativeWork
205 https://doi.org/10.1198/jcgs.2011.09224 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064201124
206 rdf:type schema:CreativeWork
207 https://doi.org/10.1214/09-aos723 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064390911
208 rdf:type schema:CreativeWork
209 https://doi.org/10.1214/aos/1016218226 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028065508
210 rdf:type schema:CreativeWork
211 https://doi.org/10.1214/aos/1016218227 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064405926
212 rdf:type schema:CreativeWork
213 https://doi.org/10.1214/aos/1017939144 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064405960
214 rdf:type schema:CreativeWork
215 https://doi.org/10.1214/aos/1031833661 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064406197
216 rdf:type schema:CreativeWork
217 https://doi.org/10.1214/aos/1065705115 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064406456
218 rdf:type schema:CreativeWork
219 https://doi.org/10.1214/aos/1069362747 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064406525
220 rdf:type schema:CreativeWork
221 https://doi.org/10.1214/aos/1176347507 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064408383
222 rdf:type schema:CreativeWork
223 https://doi.org/10.1214/aos/1176348890 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064408724
224 rdf:type schema:CreativeWork
225 https://doi.org/10.1366/0003702021955358 schema:sameAs https://app.dimensions.ai/details/publication/pub.1065255879
226 rdf:type schema:CreativeWork
227 https://doi.org/10.2307/2986073 schema:sameAs https://app.dimensions.ai/details/publication/pub.1101983592
228 rdf:type schema:CreativeWork
229 https://doi.org/10.3150/bj/1089206404 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071057232
230 rdf:type schema:CreativeWork
231 https://www.grid.ac/institutes/grid.5596.f schema:alternateName KU Leuven
232 schema:name Department of Mathematics, KU Leuven, Celestijnenlaan 200B, 3001, Heverlee, Belgium
233 rdf:type schema:Organization
 




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


...