Change-of-variance sensitivities in regression analysis View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1985-12

AUTHORS

Elvezio Ronchetti, Peter J. Rousseeuw

ABSTRACT

The change-of-variance function is defined for estimators of regression coefficients. Both an unstandardized and a standardized form of the change-of-variance sensitivity are introduced, and their relation with the corresponding gross-error-sensitivities is investigated. The problems of optimal robustness lead to the Hampel-Krasker and the Krasker-Welsch estimators. At the same time, also the scale parameter has to be estimated robustly. By means of the change-of-variance sensitivity, optimal robust redescending scale estimators are constructed. More... »

PAGES

503-519

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf00535342

DOI

http://dx.doi.org/10.1007/bf00535342

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1042276479


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/2008/0501", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Ecological Applications", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/05", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Environmental Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Delft University of Technology", 
          "id": "https://www.grid.ac/institutes/grid.5292.c", 
          "name": [
            "Department of Statistics, Princeton University, 08544, Princeton, New Jersey, USA", 
            "Department of Mathematics, Delft University of Technology, Julianalaan 132, 2628, BL Delft, The Netherlands"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Ronchetti", 
        "givenName": "Elvezio", 
        "id": "sg:person.012507417265.19", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012507417265.19"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Delft University of Technology", 
          "id": "https://www.grid.ac/institutes/grid.5292.c", 
          "name": [
            "Department of Statistics, Princeton University, 08544, Princeton, New Jersey, USA", 
            "Department of Mathematics, Delft University of Technology, Julianalaan 132, 2628, BL Delft, The Netherlands"
          ], 
          "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"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/978-94-009-7840-9_31", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003273492", 
          "https://doi.org/10.1007/978-94-009-7840-9_31"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00531623", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006553950", 
          "https://doi.org/10.1007/bf00531623"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00531623", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006553950", 
          "https://doi.org/10.1007/bf00531623"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0771-050x(81)90013-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012477665"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0771-050x(81)90013-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012477665"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00531978", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034101914", 
          "https://doi.org/10.1007/bf00531978"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00531978", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034101914", 
          "https://doi.org/10.1007/bf00531978"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00536192", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036056545", 
          "https://doi.org/10.1007/bf00536192"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00536192", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036056545", 
          "https://doi.org/10.1007/bf00536192"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00536619", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037664522", 
          "https://doi.org/10.1007/bf00536619"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00536619", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037664522", 
          "https://doi.org/10.1007/bf00536619"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/01621459.1974.10482962", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058301356"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/01621459.1975.10479884", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058301418"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/01621459.1980.10477560", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058302383"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/01621459.1981.10477698", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058302521"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/01621459.1981.10477699", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058302522"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/01621459.1982.10477855", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058302678"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/03610927708827533", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058331936"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/03610927708827539", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058331942"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1093/biomet/67.1.93", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059418959"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1093/biomet/69.1.242", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059419157"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/t-pas.1975.31858", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061465007"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aoms/1177703732", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064400228"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aos/1176342503", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064406843"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aos/1176343348", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064407129"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/1912810", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069640342"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/0471725250", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1109700917"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/0471725250", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1109700917"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1985-12", 
    "datePublishedReg": "1985-12-01", 
    "description": "The change-of-variance function is defined for estimators of regression coefficients. Both an unstandardized and a standardized form of the change-of-variance sensitivity are introduced, and their relation with the corresponding gross-error-sensitivities is investigated. The problems of optimal robustness lead to the Hampel-Krasker and the Krasker-Welsch estimators. At the same time, also the scale parameter has to be estimated robustly. By means of the change-of-variance sensitivity, optimal robust redescending scale estimators are constructed.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf00535342", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1053886", 
        "issn": [
          "0178-8051", 
          "1432-2064"
        ], 
        "name": "Probability Theory and Related Fields", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "4", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "68"
      }
    ], 
    "name": "Change-of-variance sensitivities in regression analysis", 
    "pagination": "503-519", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf00535342"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "c9625471e075ff86c363d9783a2067aeeeb1dada8d728c5c7399d55fc6403b69"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1042276479"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf00535342", 
      "https://app.dimensions.ai/details/publication/pub.1042276479"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-15T08:59", 
    "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/v90/0000000375_0000000375/records_91429_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/BF00535342"
  }
]
 

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/bf00535342'

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/bf00535342'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf00535342'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf00535342'


 

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

140 TRIPLES      21 PREDICATES      49 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf00535342 schema:about anzsrc-for:05
2 anzsrc-for:0501
3 schema:author Na7b359f2480b4478a407d798bd02d77d
4 schema:citation sg:pub.10.1007/978-94-009-7840-9_31
5 sg:pub.10.1007/bf00531623
6 sg:pub.10.1007/bf00531978
7 sg:pub.10.1007/bf00536192
8 sg:pub.10.1007/bf00536619
9 https://doi.org/10.1002/0471725250
10 https://doi.org/10.1016/0771-050x(81)90013-9
11 https://doi.org/10.1080/01621459.1974.10482962
12 https://doi.org/10.1080/01621459.1975.10479884
13 https://doi.org/10.1080/01621459.1980.10477560
14 https://doi.org/10.1080/01621459.1981.10477698
15 https://doi.org/10.1080/01621459.1981.10477699
16 https://doi.org/10.1080/01621459.1982.10477855
17 https://doi.org/10.1080/03610927708827533
18 https://doi.org/10.1080/03610927708827539
19 https://doi.org/10.1093/biomet/67.1.93
20 https://doi.org/10.1093/biomet/69.1.242
21 https://doi.org/10.1109/t-pas.1975.31858
22 https://doi.org/10.1214/aoms/1177703732
23 https://doi.org/10.1214/aos/1176342503
24 https://doi.org/10.1214/aos/1176343348
25 https://doi.org/10.2307/1912810
26 schema:datePublished 1985-12
27 schema:datePublishedReg 1985-12-01
28 schema:description The change-of-variance function is defined for estimators of regression coefficients. Both an unstandardized and a standardized form of the change-of-variance sensitivity are introduced, and their relation with the corresponding gross-error-sensitivities is investigated. The problems of optimal robustness lead to the Hampel-Krasker and the Krasker-Welsch estimators. At the same time, also the scale parameter has to be estimated robustly. By means of the change-of-variance sensitivity, optimal robust redescending scale estimators are constructed.
29 schema:genre research_article
30 schema:inLanguage en
31 schema:isAccessibleForFree false
32 schema:isPartOf N2d6a594e9f294f1b8f32dc48240fcc01
33 N3ce7eb86b4ca4974b86c6a55160d1347
34 sg:journal.1053886
35 schema:name Change-of-variance sensitivities in regression analysis
36 schema:pagination 503-519
37 schema:productId N4cef3b44b67c41ed8f6ba0be7b648a9d
38 N6b3e395ccf1d4cd1992cad610d27a13a
39 N9d4039365b884b2093613312c0db2d10
40 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042276479
41 https://doi.org/10.1007/bf00535342
42 schema:sdDatePublished 2019-04-15T08:59
43 schema:sdLicense https://scigraph.springernature.com/explorer/license/
44 schema:sdPublisher N9b182bc2d90a44e984fe414dc2ee9956
45 schema:url http://link.springer.com/10.1007/BF00535342
46 sgo:license sg:explorer/license/
47 sgo:sdDataset articles
48 rdf:type schema:ScholarlyArticle
49 N2d6a594e9f294f1b8f32dc48240fcc01 schema:issueNumber 4
50 rdf:type schema:PublicationIssue
51 N3a09dc02f4934f9e952d63b6d2428a11 rdf:first sg:person.0775337371.63
52 rdf:rest rdf:nil
53 N3ce7eb86b4ca4974b86c6a55160d1347 schema:volumeNumber 68
54 rdf:type schema:PublicationVolume
55 N4cef3b44b67c41ed8f6ba0be7b648a9d schema:name dimensions_id
56 schema:value pub.1042276479
57 rdf:type schema:PropertyValue
58 N6b3e395ccf1d4cd1992cad610d27a13a schema:name doi
59 schema:value 10.1007/bf00535342
60 rdf:type schema:PropertyValue
61 N9b182bc2d90a44e984fe414dc2ee9956 schema:name Springer Nature - SN SciGraph project
62 rdf:type schema:Organization
63 N9d4039365b884b2093613312c0db2d10 schema:name readcube_id
64 schema:value c9625471e075ff86c363d9783a2067aeeeb1dada8d728c5c7399d55fc6403b69
65 rdf:type schema:PropertyValue
66 Na7b359f2480b4478a407d798bd02d77d rdf:first sg:person.012507417265.19
67 rdf:rest N3a09dc02f4934f9e952d63b6d2428a11
68 anzsrc-for:05 schema:inDefinedTermSet anzsrc-for:
69 schema:name Environmental Sciences
70 rdf:type schema:DefinedTerm
71 anzsrc-for:0501 schema:inDefinedTermSet anzsrc-for:
72 schema:name Ecological Applications
73 rdf:type schema:DefinedTerm
74 sg:journal.1053886 schema:issn 0178-8051
75 1432-2064
76 schema:name Probability Theory and Related Fields
77 rdf:type schema:Periodical
78 sg:person.012507417265.19 schema:affiliation https://www.grid.ac/institutes/grid.5292.c
79 schema:familyName Ronchetti
80 schema:givenName Elvezio
81 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012507417265.19
82 rdf:type schema:Person
83 sg:person.0775337371.63 schema:affiliation https://www.grid.ac/institutes/grid.5292.c
84 schema:familyName Rousseeuw
85 schema:givenName Peter J.
86 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0775337371.63
87 rdf:type schema:Person
88 sg:pub.10.1007/978-94-009-7840-9_31 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003273492
89 https://doi.org/10.1007/978-94-009-7840-9_31
90 rdf:type schema:CreativeWork
91 sg:pub.10.1007/bf00531623 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006553950
92 https://doi.org/10.1007/bf00531623
93 rdf:type schema:CreativeWork
94 sg:pub.10.1007/bf00531978 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034101914
95 https://doi.org/10.1007/bf00531978
96 rdf:type schema:CreativeWork
97 sg:pub.10.1007/bf00536192 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036056545
98 https://doi.org/10.1007/bf00536192
99 rdf:type schema:CreativeWork
100 sg:pub.10.1007/bf00536619 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037664522
101 https://doi.org/10.1007/bf00536619
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1002/0471725250 schema:sameAs https://app.dimensions.ai/details/publication/pub.1109700917
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1016/0771-050x(81)90013-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012477665
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1080/01621459.1974.10482962 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058301356
108 rdf:type schema:CreativeWork
109 https://doi.org/10.1080/01621459.1975.10479884 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058301418
110 rdf:type schema:CreativeWork
111 https://doi.org/10.1080/01621459.1980.10477560 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058302383
112 rdf:type schema:CreativeWork
113 https://doi.org/10.1080/01621459.1981.10477698 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058302521
114 rdf:type schema:CreativeWork
115 https://doi.org/10.1080/01621459.1981.10477699 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058302522
116 rdf:type schema:CreativeWork
117 https://doi.org/10.1080/01621459.1982.10477855 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058302678
118 rdf:type schema:CreativeWork
119 https://doi.org/10.1080/03610927708827533 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058331936
120 rdf:type schema:CreativeWork
121 https://doi.org/10.1080/03610927708827539 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058331942
122 rdf:type schema:CreativeWork
123 https://doi.org/10.1093/biomet/67.1.93 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059418959
124 rdf:type schema:CreativeWork
125 https://doi.org/10.1093/biomet/69.1.242 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059419157
126 rdf:type schema:CreativeWork
127 https://doi.org/10.1109/t-pas.1975.31858 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061465007
128 rdf:type schema:CreativeWork
129 https://doi.org/10.1214/aoms/1177703732 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064400228
130 rdf:type schema:CreativeWork
131 https://doi.org/10.1214/aos/1176342503 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064406843
132 rdf:type schema:CreativeWork
133 https://doi.org/10.1214/aos/1176343348 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064407129
134 rdf:type schema:CreativeWork
135 https://doi.org/10.2307/1912810 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069640342
136 rdf:type schema:CreativeWork
137 https://www.grid.ac/institutes/grid.5292.c schema:alternateName Delft University of Technology
138 schema:name Department of Mathematics, Delft University of Technology, Julianalaan 132, 2628, BL Delft, The Netherlands
139 Department of Statistics, Princeton University, 08544, Princeton, New Jersey, USA
140 rdf:type schema:Organization
 




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


...