Asymmetric Copulas and Their Application in Design of Experiments View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2016-01-12

AUTHORS

Fabrizio Durante , Elisa Perrone

ABSTRACT

We present an overview on definitions and properties of asymmetric copulas, i.e. copulas whose values are not invariant under any permutation of their arguments. In particular, we review an axiomatic approach in the definition of a measure of asymmetry (non–exchangeability) for copulas, starting with the seminal contributions by Klement and Mesiar [45] and Nelsen [56]. Then we discuss how asymmetric copulas may be useful also in the optimal design of experiments and how they may provide additional insights into these problems. More... »

PAGES

157-172

Book

TITLE

On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory

ISBN

978-3-319-28807-9
978-3-319-28808-6

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-28808-6_9

DOI

http://dx.doi.org/10.1007/978-3-319-28808-6_9

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1027508918


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/2008/21", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "History and Archaeology", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/2103", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Historical Studies", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Faculty of Economics and Management, Free University of Bozen\u2013Bolzano, Bolzano, Italy", 
          "id": "http://www.grid.ac/institutes/grid.34988.3e", 
          "name": [
            "Faculty of Economics and Management, Free University of Bozen\u2013Bolzano, Bolzano, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Durante", 
        "givenName": "Fabrizio", 
        "id": "sg:person.013475607471.22", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013475607471.22"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Institute for Applied Statistics, Johannes Kepler University Linz, Linz, Austria", 
          "id": "http://www.grid.ac/institutes/grid.9970.7", 
          "name": [
            "Institute for Applied Statistics, Johannes Kepler University Linz, Linz, Austria"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Perrone", 
        "givenName": "Elisa", 
        "id": "sg:person.013314537043.87", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013314537043.87"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2016-01-12", 
    "datePublishedReg": "2016-01-12", 
    "description": "We present an overview on definitions and properties of asymmetric copulas, i.e. copulas whose values are not invariant under any permutation of their arguments. In particular, we review an axiomatic approach in the definition of a measure of asymmetry (non\u2013exchangeability) for copulas, starting with the seminal contributions by Klement and Mesiar [45] and Nelsen [56]. Then we discuss how asymmetric copulas may be useful also in the optimal design of experiments and how they may provide additional insights into these problems.", 
    "editor": [
      {
        "familyName": "Saminger-Platz", 
        "givenName": "Susanne", 
        "type": "Person"
      }, 
      {
        "familyName": "Mesiar", 
        "givenName": "Radko", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-319-28808-6_9", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-319-28807-9", 
        "978-3-319-28808-6"
      ], 
      "name": "On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory", 
      "type": "Book"
    }, 
    "keywords": [
      "design of experiments", 
      "optimal design", 
      "design", 
      "properties", 
      "experiments", 
      "applications", 
      "asymmetric copulas", 
      "values", 
      "approach", 
      "problem", 
      "additional insight", 
      "overview", 
      "contribution", 
      "definition", 
      "copula", 
      "asymmetry", 
      "insights", 
      "measure of asymmetry", 
      "axiomatic approach", 
      "Klement", 
      "measures", 
      "permutations", 
      "seminal contributions", 
      "argument", 
      "Mesiar", 
      "Nelsen"
    ], 
    "name": "Asymmetric Copulas and Their Application in Design of Experiments", 
    "pagination": "157-172", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1027508918"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-319-28808-6_9"
        ]
      }
    ], 
    "publisher": {
      "name": "Springer Nature", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-319-28808-6_9", 
      "https://app.dimensions.ai/details/publication/pub.1027508918"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2022-05-20T07:49", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220519/entities/gbq_results/chapter/chapter_464.jsonl", 
    "type": "Chapter", 
    "url": "https://doi.org/10.1007/978-3-319-28808-6_9"
  }
]
 

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.10.1007/978-3-319-28808-6_9'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-28808-6_9'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-28808-6_9'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-28808-6_9'


 

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

101 TRIPLES      23 PREDICATES      51 URIs      44 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-319-28808-6_9 schema:about anzsrc-for:21
2 anzsrc-for:2103
3 schema:author N40f2c20ee21a4bc4b928ee9ebfc411c9
4 schema:datePublished 2016-01-12
5 schema:datePublishedReg 2016-01-12
6 schema:description We present an overview on definitions and properties of asymmetric copulas, i.e. copulas whose values are not invariant under any permutation of their arguments. In particular, we review an axiomatic approach in the definition of a measure of asymmetry (non–exchangeability) for copulas, starting with the seminal contributions by Klement and Mesiar [45] and Nelsen [56]. Then we discuss how asymmetric copulas may be useful also in the optimal design of experiments and how they may provide additional insights into these problems.
7 schema:editor Nac5a3e33cf6f43e595c3391caf7a50c3
8 schema:genre chapter
9 schema:inLanguage en
10 schema:isAccessibleForFree false
11 schema:isPartOf N97063d80efe444fc8098e8ca40c391ec
12 schema:keywords Klement
13 Mesiar
14 Nelsen
15 additional insight
16 applications
17 approach
18 argument
19 asymmetric copulas
20 asymmetry
21 axiomatic approach
22 contribution
23 copula
24 definition
25 design
26 design of experiments
27 experiments
28 insights
29 measure of asymmetry
30 measures
31 optimal design
32 overview
33 permutations
34 problem
35 properties
36 seminal contributions
37 values
38 schema:name Asymmetric Copulas and Their Application in Design of Experiments
39 schema:pagination 157-172
40 schema:productId N92747527fca14f3abdfa6678f6332ad9
41 Ne197cc9e174d41b2b9b4c323999b2f1b
42 schema:publisher N5dc632629ea84e54a5625ace8077673b
43 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027508918
44 https://doi.org/10.1007/978-3-319-28808-6_9
45 schema:sdDatePublished 2022-05-20T07:49
46 schema:sdLicense https://scigraph.springernature.com/explorer/license/
47 schema:sdPublisher Neb74b63e99804d5fbb87fc5cf8b1f05e
48 schema:url https://doi.org/10.1007/978-3-319-28808-6_9
49 sgo:license sg:explorer/license/
50 sgo:sdDataset chapters
51 rdf:type schema:Chapter
52 N0a10d7b5e4a1422c9f02838f314c3665 rdf:first sg:person.013314537043.87
53 rdf:rest rdf:nil
54 N19b7f4df7f514b6aa07f5b2b3bf2eddf rdf:first N94b3c43c950649bfbf5a563145b26167
55 rdf:rest rdf:nil
56 N218598d6fd484dcfafec021cab4f5aeb schema:familyName Saminger-Platz
57 schema:givenName Susanne
58 rdf:type schema:Person
59 N40f2c20ee21a4bc4b928ee9ebfc411c9 rdf:first sg:person.013475607471.22
60 rdf:rest N0a10d7b5e4a1422c9f02838f314c3665
61 N5dc632629ea84e54a5625ace8077673b schema:name Springer Nature
62 rdf:type schema:Organisation
63 N92747527fca14f3abdfa6678f6332ad9 schema:name dimensions_id
64 schema:value pub.1027508918
65 rdf:type schema:PropertyValue
66 N94b3c43c950649bfbf5a563145b26167 schema:familyName Mesiar
67 schema:givenName Radko
68 rdf:type schema:Person
69 N97063d80efe444fc8098e8ca40c391ec schema:isbn 978-3-319-28807-9
70 978-3-319-28808-6
71 schema:name On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory
72 rdf:type schema:Book
73 Nac5a3e33cf6f43e595c3391caf7a50c3 rdf:first N218598d6fd484dcfafec021cab4f5aeb
74 rdf:rest N19b7f4df7f514b6aa07f5b2b3bf2eddf
75 Ne197cc9e174d41b2b9b4c323999b2f1b schema:name doi
76 schema:value 10.1007/978-3-319-28808-6_9
77 rdf:type schema:PropertyValue
78 Neb74b63e99804d5fbb87fc5cf8b1f05e schema:name Springer Nature - SN SciGraph project
79 rdf:type schema:Organization
80 anzsrc-for:21 schema:inDefinedTermSet anzsrc-for:
81 schema:name History and Archaeology
82 rdf:type schema:DefinedTerm
83 anzsrc-for:2103 schema:inDefinedTermSet anzsrc-for:
84 schema:name Historical Studies
85 rdf:type schema:DefinedTerm
86 sg:person.013314537043.87 schema:affiliation grid-institutes:grid.9970.7
87 schema:familyName Perrone
88 schema:givenName Elisa
89 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013314537043.87
90 rdf:type schema:Person
91 sg:person.013475607471.22 schema:affiliation grid-institutes:grid.34988.3e
92 schema:familyName Durante
93 schema:givenName Fabrizio
94 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013475607471.22
95 rdf:type schema:Person
96 grid-institutes:grid.34988.3e schema:alternateName Faculty of Economics and Management, Free University of Bozen–Bolzano, Bolzano, Italy
97 schema:name Faculty of Economics and Management, Free University of Bozen–Bolzano, Bolzano, Italy
98 rdf:type schema:Organization
99 grid-institutes:grid.9970.7 schema:alternateName Institute for Applied Statistics, Johannes Kepler University Linz, Linz, Austria
100 schema:name Institute for Applied Statistics, Johannes Kepler University Linz, Linz, Austria
101 rdf:type schema:Organization
 




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


...