Linear regression with random fuzzy observations View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2002

AUTHORS

Wolfgang Näther , Ralf Körner

ABSTRACT

In this paper, on the basis of the concept of fuzzy random variable a kind of (though not strict) linear estimation theory is developed. Modified linear estimators are presented and discussed, and the least squares approximation principle is used for constructing estimators.

PAGES

282-305

Book

TITLE

Statistical Modeling, Analysis and Management of Fuzzy Data

ISBN

978-3-7908-2501-5
978-3-7908-1800-0

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-7908-1800-0_18

DOI

http://dx.doi.org/10.1007/978-3-7908-1800-0_18

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1038756975


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", 
    "author": [
      {
        "affiliation": {
          "alternateName": "Freiberg University Of Mining And Technology", 
          "id": "https://www.grid.ac/institutes/grid.6862.a", 
          "name": [
            "Faculty of Mathematics and Computer Sciences, Freiberg University of Mining and Technology, 09596\u00a0Freiberg, 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": [
            "Faculty of Mathematics and Computer Sciences, Freiberg University of Mining and Technology, 09596\u00a0Freiberg, Germany"
          ], 
          "type": "Organization"
        }, 
        "familyName": "K\u00f6rner", 
        "givenName": "Ralf", 
        "id": "sg:person.015617360634.01", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015617360634.01"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1080/02331889708802586", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000159522"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0165-0114(85)80004-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004710637"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0020-0255(98)00010-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010354457"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0378-3758(99)00107-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017266628"
        ], 
        "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/10.1016/0165-0114(88)90054-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023197634"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-0114(88)90054-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023197634"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1031675421", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-011-2506-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031675421", 
          "https://doi.org/10.1007/978-94-011-2506-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-011-2506-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031675421", 
          "https://doi.org/10.1007/978-94-011-2506-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-0114(90)90064-d", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031875360"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-0114(90)90064-d", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031875360"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0898-1221(94)00127-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033269776"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0020-0255(88)90047-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035565224"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0020-0255(88)90047-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035565224"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-0114(87)90070-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044058669"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-0114(87)90070-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044058669"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-0114(87)90033-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046385757"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-0114(87)90033-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046385757"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-7908-1800-0_2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050901928", 
          "https://doi.org/10.1007/978-3-7908-1800-0_2"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2002", 
    "datePublishedReg": "2002-01-01", 
    "description": "In this paper, on the basis of the concept of fuzzy random variable a kind of (though not strict) linear estimation theory is developed. Modified linear estimators are presented and discussed, and the least squares approximation principle is used for constructing estimators.", 
    "editor": [
      {
        "familyName": "Bertoluzza", 
        "givenName": "Carlo", 
        "type": "Person"
      }, 
      {
        "familyName": "Gil", 
        "givenName": "Mar\u00eda-\u00c1ngeles", 
        "type": "Person"
      }, 
      {
        "familyName": "Ralescu", 
        "givenName": "Dan A.", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-7908-1800-0_18", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-7908-2501-5", 
        "978-3-7908-1800-0"
      ], 
      "name": "Statistical Modeling, Analysis and Management of Fuzzy Data", 
      "type": "Book"
    }, 
    "name": "Linear regression with random fuzzy observations", 
    "pagination": "282-305", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-7908-1800-0_18"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "b89f3c863ee927b00efb7a16c5b80cf90412607ff5eb755feb507fe45af256f0"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1038756975"
        ]
      }
    ], 
    "publisher": {
      "location": "Heidelberg", 
      "name": "Physica-Verlag HD", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-7908-1800-0_18", 
      "https://app.dimensions.ai/details/publication/pub.1038756975"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T21:03", 
    "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_00000267.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-3-7908-1800-0_18"
  }
]
 

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.10.1007/978-3-7908-1800-0_18'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-7908-1800-0_18'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-7908-1800-0_18'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-7908-1800-0_18'


 

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

117 TRIPLES      22 PREDICATES      39 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-7908-1800-0_18 schema:author Ndde028589233464384d163b1cf82824e
2 schema:citation sg:pub.10.1007/978-3-7908-1800-0_2
3 sg:pub.10.1007/978-94-011-2506-2
4 https://app.dimensions.ai/details/publication/pub.1031675421
5 https://doi.org/10.1016/0020-0255(88)90047-3
6 https://doi.org/10.1016/0165-0114(87)90033-9
7 https://doi.org/10.1016/0165-0114(87)90070-4
8 https://doi.org/10.1016/0165-0114(88)90054-1
9 https://doi.org/10.1016/0165-0114(90)90064-d
10 https://doi.org/10.1016/0898-1221(94)00127-8
11 https://doi.org/10.1016/s0020-0255(98)00010-3
12 https://doi.org/10.1016/s0165-0114(85)80004-x
13 https://doi.org/10.1016/s0165-0114(96)00169-8
14 https://doi.org/10.1016/s0378-3758(99)00107-x
15 https://doi.org/10.1080/02331889708802586
16 schema:datePublished 2002
17 schema:datePublishedReg 2002-01-01
18 schema:description In this paper, on the basis of the concept of fuzzy random variable a kind of (though not strict) linear estimation theory is developed. Modified linear estimators are presented and discussed, and the least squares approximation principle is used for constructing estimators.
19 schema:editor N7e2b54df568849eba9a74ae66a0c7017
20 schema:genre chapter
21 schema:inLanguage en
22 schema:isAccessibleForFree false
23 schema:isPartOf Naa35e5ffb8394c1eb6680276560df3f5
24 schema:name Linear regression with random fuzzy observations
25 schema:pagination 282-305
26 schema:productId N47836e9179c44e64bbfdc7a6ee193e4d
27 N4cb9d147349d498eb9a7ab8d9ee6aec4
28 N9a43ddb0759f4fc2b3de43aca8420311
29 schema:publisher Nf8bf0263c56e48cbbae57e3f85bf2072
30 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038756975
31 https://doi.org/10.1007/978-3-7908-1800-0_18
32 schema:sdDatePublished 2019-04-15T21:03
33 schema:sdLicense https://scigraph.springernature.com/explorer/license/
34 schema:sdPublisher Nf5e2e27aafa44212a32c04918b4c666e
35 schema:url http://link.springer.com/10.1007/978-3-7908-1800-0_18
36 sgo:license sg:explorer/license/
37 sgo:sdDataset chapters
38 rdf:type schema:Chapter
39 N01fe5f5c9e874b2ca5478fe1b1713b5a schema:familyName Gil
40 schema:givenName María-Ángeles
41 rdf:type schema:Person
42 N47836e9179c44e64bbfdc7a6ee193e4d schema:name doi
43 schema:value 10.1007/978-3-7908-1800-0_18
44 rdf:type schema:PropertyValue
45 N4cb9d147349d498eb9a7ab8d9ee6aec4 schema:name readcube_id
46 schema:value b89f3c863ee927b00efb7a16c5b80cf90412607ff5eb755feb507fe45af256f0
47 rdf:type schema:PropertyValue
48 N71ad6cfc56424e8fb41f46f892abcb68 rdf:first sg:person.015617360634.01
49 rdf:rest rdf:nil
50 N7e2b54df568849eba9a74ae66a0c7017 rdf:first Na66f02d2fd644dbab3797041aa1b3175
51 rdf:rest N8e0bea153f7f4f7eaf9a64f536876929
52 N8d4f5f3578ac4f7f8934e49d1b77347f rdf:first Nf94a9e0600694abab1e22e652c8ff58b
53 rdf:rest rdf:nil
54 N8e0bea153f7f4f7eaf9a64f536876929 rdf:first N01fe5f5c9e874b2ca5478fe1b1713b5a
55 rdf:rest N8d4f5f3578ac4f7f8934e49d1b77347f
56 N9a43ddb0759f4fc2b3de43aca8420311 schema:name dimensions_id
57 schema:value pub.1038756975
58 rdf:type schema:PropertyValue
59 Na66f02d2fd644dbab3797041aa1b3175 schema:familyName Bertoluzza
60 schema:givenName Carlo
61 rdf:type schema:Person
62 Naa35e5ffb8394c1eb6680276560df3f5 schema:isbn 978-3-7908-1800-0
63 978-3-7908-2501-5
64 schema:name Statistical Modeling, Analysis and Management of Fuzzy Data
65 rdf:type schema:Book
66 Ndde028589233464384d163b1cf82824e rdf:first sg:person.014367310401.44
67 rdf:rest N71ad6cfc56424e8fb41f46f892abcb68
68 Nf5e2e27aafa44212a32c04918b4c666e schema:name Springer Nature - SN SciGraph project
69 rdf:type schema:Organization
70 Nf8bf0263c56e48cbbae57e3f85bf2072 schema:location Heidelberg
71 schema:name Physica-Verlag HD
72 rdf:type schema:Organisation
73 Nf94a9e0600694abab1e22e652c8ff58b schema:familyName Ralescu
74 schema:givenName Dan A.
75 rdf:type schema:Person
76 sg:person.014367310401.44 schema:affiliation https://www.grid.ac/institutes/grid.6862.a
77 schema:familyName Näther
78 schema:givenName Wolfgang
79 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014367310401.44
80 rdf:type schema:Person
81 sg:person.015617360634.01 schema:affiliation https://www.grid.ac/institutes/grid.6862.a
82 schema:familyName Körner
83 schema:givenName Ralf
84 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015617360634.01
85 rdf:type schema:Person
86 sg:pub.10.1007/978-3-7908-1800-0_2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050901928
87 https://doi.org/10.1007/978-3-7908-1800-0_2
88 rdf:type schema:CreativeWork
89 sg:pub.10.1007/978-94-011-2506-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031675421
90 https://doi.org/10.1007/978-94-011-2506-2
91 rdf:type schema:CreativeWork
92 https://app.dimensions.ai/details/publication/pub.1031675421 schema:CreativeWork
93 https://doi.org/10.1016/0020-0255(88)90047-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035565224
94 rdf:type schema:CreativeWork
95 https://doi.org/10.1016/0165-0114(87)90033-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046385757
96 rdf:type schema:CreativeWork
97 https://doi.org/10.1016/0165-0114(87)90070-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044058669
98 rdf:type schema:CreativeWork
99 https://doi.org/10.1016/0165-0114(88)90054-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023197634
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1016/0165-0114(90)90064-d schema:sameAs https://app.dimensions.ai/details/publication/pub.1031875360
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1016/0898-1221(94)00127-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033269776
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1016/s0020-0255(98)00010-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010354457
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1016/s0165-0114(85)80004-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1004710637
108 rdf:type schema:CreativeWork
109 https://doi.org/10.1016/s0165-0114(96)00169-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018900260
110 rdf:type schema:CreativeWork
111 https://doi.org/10.1016/s0378-3758(99)00107-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1017266628
112 rdf:type schema:CreativeWork
113 https://doi.org/10.1080/02331889708802586 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000159522
114 rdf:type schema:CreativeWork
115 https://www.grid.ac/institutes/grid.6862.a schema:alternateName Freiberg University Of Mining And Technology
116 schema:name Faculty of Mathematics and Computer Sciences, Freiberg University of Mining and Technology, 09596 Freiberg, Germany
117 rdf:type schema:Organization
 




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


...