On the Conditional Variance of Fuzzy Random Variables View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2007-02

AUTHORS

Wolfgang Näther, Andreas Wünsche

ABSTRACT

The conditional variance of random variables plays an important role for well-known variance decomposition formulas. In this paper, the conditional variance is defined for fuzzy random variables and some properties are proved, which especially generalize to the mentioned variance decomposition. Moreover, results for two special types of fuzzy random variables and an outlook for possible applications are presented. More... »

PAGES

109-122

References to SciGraph publications

Journal

TITLE

Metrika

ISSUE

1

VOLUME

65

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00184-006-0063-x

DOI

http://dx.doi.org/10.1007/s00184-006-0063-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1002228077


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": "Freiberg University Of Mining And Technology", 
          "id": "https://www.grid.ac/institutes/grid.6862.a", 
          "name": [
            "TU Bergakademie Freiberg, Institut f\u00fcr Stochastik, Pr\u00fcferstr. 9, 09596, Freiberg, Germany"
          ], 
          "type": "Organization"
        }, 
        "familyName": "N\u00e4ther", 
        "givenName": "Wolfgang", 
        "id": "sg:person.014367310401.44", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014367310401.44"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Freiberg University Of Mining And Technology", 
          "id": "https://www.grid.ac/institutes/grid.6862.a", 
          "name": [
            "TU Bergakademie Freiberg, Institut f\u00fcr Stochastik, Pr\u00fcferstr. 9, 09596, Freiberg, Germany"
          ], 
          "type": "Organization"
        }, 
        "familyName": "W\u00fcnsche", 
        "givenName": "Andreas", 
        "id": "sg:person.010165775277.07", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010165775277.07"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/s0165-0114(00)00038-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000357597"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0047-259x(77)90037-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006935561"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02607061", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014359510", 
          "https://doi.org/10.1007/bf02607061"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02607061", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014359510", 
          "https://doi.org/10.1007/bf02607061"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-247x(91)90293-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018426150"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0165-0114(96)00169-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018900260"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0165-0114(02)00120-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024555560"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1025600576", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-009-3873-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025600576", 
          "https://doi.org/10.1007/978-94-009-3873-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-009-3873-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025600576", 
          "https://doi.org/10.1007/978-94-009-3873-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-009-3873-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025600576", 
          "https://doi.org/10.1007/978-94-009-3873-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/j.1365-2818.1988.tb04680.x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030616183"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-247x(65)90049-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035033125"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1035649258", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-1950-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035649258", 
          "https://doi.org/10.1007/978-1-4612-1950-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-1950-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035649258", 
          "https://doi.org/10.1007/978-1-4612-1950-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1098/rspa.1996.0022", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1039377404"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s001840300303", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1040847960", 
          "https://doi.org/10.1007/s001840300303"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-247x(86)90093-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043810381"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0165-0114(02)00103-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044229424"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s001840000047", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1048276710", 
          "https://doi.org/10.1007/s001840000047"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/2326", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098876230"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2007-02", 
    "datePublishedReg": "2007-02-01", 
    "description": "The conditional variance of random variables plays an important role for well-known variance decomposition formulas. In this paper, the conditional variance is defined for fuzzy random variables and some properties are proved, which especially generalize to the mentioned variance decomposition. Moreover, results for two special types of fuzzy random variables and an outlook for possible applications are presented.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s00184-006-0063-x", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1041634", 
        "issn": [
          "0026-1335", 
          "1435-926X"
        ], 
        "name": "Metrika", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "65"
      }
    ], 
    "name": "On the Conditional Variance of Fuzzy Random Variables", 
    "pagination": "109-122", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "0a9bb1d320c409adba1e7e11d2be87104197ffc5fbf83af7fd63d7bf51663173"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00184-006-0063-x"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1002228077"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00184-006-0063-x", 
      "https://app.dimensions.ai/details/publication/pub.1002228077"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T14:31", 
    "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/v90/0000000373_0000000373/records_13096_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/s00184-006-0063-x"
  }
]
 

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/s00184-006-0063-x'

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/s00184-006-0063-x'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00184-006-0063-x'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00184-006-0063-x'


 

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

125 TRIPLES      21 PREDICATES      45 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00184-006-0063-x schema:about anzsrc-for:01
2 anzsrc-for:0104
3 schema:author Nc02225119d234f6d9367e471148a2476
4 schema:citation sg:pub.10.1007/978-1-4612-1950-7
5 sg:pub.10.1007/978-94-009-3873-1
6 sg:pub.10.1007/bf02607061
7 sg:pub.10.1007/s001840000047
8 sg:pub.10.1007/s001840300303
9 https://app.dimensions.ai/details/publication/pub.1025600576
10 https://app.dimensions.ai/details/publication/pub.1035649258
11 https://doi.org/10.1016/0022-247x(65)90049-1
12 https://doi.org/10.1016/0022-247x(86)90093-4
13 https://doi.org/10.1016/0022-247x(91)90293-9
14 https://doi.org/10.1016/0047-259x(77)90037-9
15 https://doi.org/10.1016/s0165-0114(00)00038-5
16 https://doi.org/10.1016/s0165-0114(02)00103-3
17 https://doi.org/10.1016/s0165-0114(02)00120-3
18 https://doi.org/10.1016/s0165-0114(96)00169-8
19 https://doi.org/10.1098/rspa.1996.0022
20 https://doi.org/10.1111/j.1365-2818.1988.tb04680.x
21 https://doi.org/10.1142/2326
22 schema:datePublished 2007-02
23 schema:datePublishedReg 2007-02-01
24 schema:description The conditional variance of random variables plays an important role for well-known variance decomposition formulas. In this paper, the conditional variance is defined for fuzzy random variables and some properties are proved, which especially generalize to the mentioned variance decomposition. Moreover, results for two special types of fuzzy random variables and an outlook for possible applications are presented.
25 schema:genre research_article
26 schema:inLanguage en
27 schema:isAccessibleForFree false
28 schema:isPartOf N1aefe11196694d9a9899949f597b1492
29 N1af547cd7a7e46c3a811dcdf2fb7ee23
30 sg:journal.1041634
31 schema:name On the Conditional Variance of Fuzzy Random Variables
32 schema:pagination 109-122
33 schema:productId N50de7e6e57924fe3a19ca5b0d36ac980
34 N53a0a61971f6426d851d10a568c3eb0e
35 N6388146e3d1c4315b98d50b1ee0daf90
36 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002228077
37 https://doi.org/10.1007/s00184-006-0063-x
38 schema:sdDatePublished 2019-04-11T14:31
39 schema:sdLicense https://scigraph.springernature.com/explorer/license/
40 schema:sdPublisher Nd15f03e7deff453a9f648fa930c4d3fd
41 schema:url http://link.springer.com/10.1007/s00184-006-0063-x
42 sgo:license sg:explorer/license/
43 sgo:sdDataset articles
44 rdf:type schema:ScholarlyArticle
45 N1aefe11196694d9a9899949f597b1492 schema:volumeNumber 65
46 rdf:type schema:PublicationVolume
47 N1af547cd7a7e46c3a811dcdf2fb7ee23 schema:issueNumber 1
48 rdf:type schema:PublicationIssue
49 N50de7e6e57924fe3a19ca5b0d36ac980 schema:name dimensions_id
50 schema:value pub.1002228077
51 rdf:type schema:PropertyValue
52 N53a0a61971f6426d851d10a568c3eb0e schema:name doi
53 schema:value 10.1007/s00184-006-0063-x
54 rdf:type schema:PropertyValue
55 N6388146e3d1c4315b98d50b1ee0daf90 schema:name readcube_id
56 schema:value 0a9bb1d320c409adba1e7e11d2be87104197ffc5fbf83af7fd63d7bf51663173
57 rdf:type schema:PropertyValue
58 Nbae54e14c6f0417f8e82c40f78839457 rdf:first sg:person.010165775277.07
59 rdf:rest rdf:nil
60 Nc02225119d234f6d9367e471148a2476 rdf:first sg:person.014367310401.44
61 rdf:rest Nbae54e14c6f0417f8e82c40f78839457
62 Nd15f03e7deff453a9f648fa930c4d3fd schema:name Springer Nature - SN SciGraph project
63 rdf:type schema:Organization
64 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
65 schema:name Mathematical Sciences
66 rdf:type schema:DefinedTerm
67 anzsrc-for:0104 schema:inDefinedTermSet anzsrc-for:
68 schema:name Statistics
69 rdf:type schema:DefinedTerm
70 sg:journal.1041634 schema:issn 0026-1335
71 1435-926X
72 schema:name Metrika
73 rdf:type schema:Periodical
74 sg:person.010165775277.07 schema:affiliation https://www.grid.ac/institutes/grid.6862.a
75 schema:familyName Wünsche
76 schema:givenName Andreas
77 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010165775277.07
78 rdf:type schema:Person
79 sg:person.014367310401.44 schema:affiliation https://www.grid.ac/institutes/grid.6862.a
80 schema:familyName Näther
81 schema:givenName Wolfgang
82 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014367310401.44
83 rdf:type schema:Person
84 sg:pub.10.1007/978-1-4612-1950-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035649258
85 https://doi.org/10.1007/978-1-4612-1950-7
86 rdf:type schema:CreativeWork
87 sg:pub.10.1007/978-94-009-3873-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025600576
88 https://doi.org/10.1007/978-94-009-3873-1
89 rdf:type schema:CreativeWork
90 sg:pub.10.1007/bf02607061 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014359510
91 https://doi.org/10.1007/bf02607061
92 rdf:type schema:CreativeWork
93 sg:pub.10.1007/s001840000047 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048276710
94 https://doi.org/10.1007/s001840000047
95 rdf:type schema:CreativeWork
96 sg:pub.10.1007/s001840300303 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040847960
97 https://doi.org/10.1007/s001840300303
98 rdf:type schema:CreativeWork
99 https://app.dimensions.ai/details/publication/pub.1025600576 schema:CreativeWork
100 https://app.dimensions.ai/details/publication/pub.1035649258 schema:CreativeWork
101 https://doi.org/10.1016/0022-247x(65)90049-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035033125
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1016/0022-247x(86)90093-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043810381
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1016/0022-247x(91)90293-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018426150
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1016/0047-259x(77)90037-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006935561
108 rdf:type schema:CreativeWork
109 https://doi.org/10.1016/s0165-0114(00)00038-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000357597
110 rdf:type schema:CreativeWork
111 https://doi.org/10.1016/s0165-0114(02)00103-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044229424
112 rdf:type schema:CreativeWork
113 https://doi.org/10.1016/s0165-0114(02)00120-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024555560
114 rdf:type schema:CreativeWork
115 https://doi.org/10.1016/s0165-0114(96)00169-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018900260
116 rdf:type schema:CreativeWork
117 https://doi.org/10.1098/rspa.1996.0022 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039377404
118 rdf:type schema:CreativeWork
119 https://doi.org/10.1111/j.1365-2818.1988.tb04680.x schema:sameAs https://app.dimensions.ai/details/publication/pub.1030616183
120 rdf:type schema:CreativeWork
121 https://doi.org/10.1142/2326 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098876230
122 rdf:type schema:CreativeWork
123 https://www.grid.ac/institutes/grid.6862.a schema:alternateName Freiberg University Of Mining And Technology
124 schema:name TU Bergakademie Freiberg, Institut für Stochastik, Prüferstr. 9, 09596, Freiberg, Germany
125 rdf:type schema:Organization
 




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


...