On Estimation of Functions of a Parameter Observed in Gaussian Noise View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-03-21

AUTHORS

I. A. Ibragimov

ABSTRACT

The main problem of the paper looks as follows. A functional parameter θ ∈ Θ ⊂ L2(−∞,∞) is observed in Gaussian noise. The problem is to estimate the value F(θ) of a given function F. A construction of asymptotically efficient estimates for F(θ) is suggested under the condition that Θ admits approximations by subspaces HT ⊂ L2 with reproducing kernels KT (t, s), KT (t, t) ≤ T. More... »

PAGES

1-8

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10958-019-04250-9

DOI

http://dx.doi.org/10.1007/s10958-019-04250-9

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112918795


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/2008/0912", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Materials Engineering", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Steklov Mathematical Institute", 
          "id": "https://www.grid.ac/institutes/grid.426543.2", 
          "name": [
            "St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Ibragimov", 
        "givenName": "I. A.", 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1090/s0002-9947-1950-0051437-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008121516"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2019-03-21", 
    "datePublishedReg": "2019-03-21", 
    "description": "The main problem of the paper looks as follows. A functional parameter \u03b8 \u2208 \u0398 \u2282 L2(\u2212\u221e,\u221e) is observed in Gaussian noise. The problem is to estimate the value F(\u03b8) of a given function F. A construction of asymptotically efficient estimates for F(\u03b8) is suggested under the condition that \u0398 admits approximations by subspaces HT \u2282 L2 with reproducing kernels KT (t, s), KT (t, t) \u2264 T.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s10958-019-04250-9", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136516", 
        "issn": [
          "1072-3374", 
          "1573-8795"
        ], 
        "name": "Journal of Mathematical Sciences", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "4", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "238"
      }
    ], 
    "name": "On Estimation of Functions of a Parameter Observed in Gaussian Noise", 
    "pagination": "1-8", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s10958-019-04250-9"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "9daf46374844886a3da2ca8aeb6c2953e380b01bad5db97cf80ef13499330b67"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1112918795"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s10958-019-04250-9", 
      "https://app.dimensions.ai/details/publication/pub.1112918795"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-15T09:11", 
    "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/v90/0000000376_0000000376/records_56158_00000006.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://link.springer.com/10.1007%2Fs10958-019-04250-9"
  }
]
 

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/s10958-019-04250-9'

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/s10958-019-04250-9'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10958-019-04250-9'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10958-019-04250-9'


 

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

63 TRIPLES      21 PREDICATES      27 URIs      18 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s10958-019-04250-9 schema:about anzsrc-for:09
2 anzsrc-for:0912
3 schema:author N170770b7983c4752b3f2cbb91ac5e0c5
4 schema:citation https://doi.org/10.1090/s0002-9947-1950-0051437-7
5 schema:datePublished 2019-03-21
6 schema:datePublishedReg 2019-03-21
7 schema:description The main problem of the paper looks as follows. A functional parameter θ ∈ Θ ⊂ L2(−∞,∞) is observed in Gaussian noise. The problem is to estimate the value F(θ) of a given function F. A construction of asymptotically efficient estimates for F(θ) is suggested under the condition that Θ admits approximations by subspaces HT ⊂ L2 with reproducing kernels KT (t, s), KT (t, t) ≤ T.
8 schema:genre research_article
9 schema:inLanguage en
10 schema:isAccessibleForFree false
11 schema:isPartOf N5f13c5b5ba2e4f649a41ab5c7b67cb9f
12 N878705b442a2413981adb77fc3524841
13 sg:journal.1136516
14 schema:name On Estimation of Functions of a Parameter Observed in Gaussian Noise
15 schema:pagination 1-8
16 schema:productId N302ee5a43b4146c98aa00a3712d699c5
17 N31480af3dfe44301bd5076f1ad91e27a
18 Ndd5e76b5f9b34c59ab89df16c936efe6
19 schema:sameAs https://app.dimensions.ai/details/publication/pub.1112918795
20 https://doi.org/10.1007/s10958-019-04250-9
21 schema:sdDatePublished 2019-04-15T09:11
22 schema:sdLicense https://scigraph.springernature.com/explorer/license/
23 schema:sdPublisher N919ce2a5f2b141ad80ce853091e83ed5
24 schema:url https://link.springer.com/10.1007%2Fs10958-019-04250-9
25 sgo:license sg:explorer/license/
26 sgo:sdDataset articles
27 rdf:type schema:ScholarlyArticle
28 N170770b7983c4752b3f2cbb91ac5e0c5 rdf:first N5efa8c2958f643df8719ceba2fa592c2
29 rdf:rest rdf:nil
30 N302ee5a43b4146c98aa00a3712d699c5 schema:name doi
31 schema:value 10.1007/s10958-019-04250-9
32 rdf:type schema:PropertyValue
33 N31480af3dfe44301bd5076f1ad91e27a schema:name readcube_id
34 schema:value 9daf46374844886a3da2ca8aeb6c2953e380b01bad5db97cf80ef13499330b67
35 rdf:type schema:PropertyValue
36 N5efa8c2958f643df8719ceba2fa592c2 schema:affiliation https://www.grid.ac/institutes/grid.426543.2
37 schema:familyName Ibragimov
38 schema:givenName I. A.
39 rdf:type schema:Person
40 N5f13c5b5ba2e4f649a41ab5c7b67cb9f schema:volumeNumber 238
41 rdf:type schema:PublicationVolume
42 N878705b442a2413981adb77fc3524841 schema:issueNumber 4
43 rdf:type schema:PublicationIssue
44 N919ce2a5f2b141ad80ce853091e83ed5 schema:name Springer Nature - SN SciGraph project
45 rdf:type schema:Organization
46 Ndd5e76b5f9b34c59ab89df16c936efe6 schema:name dimensions_id
47 schema:value pub.1112918795
48 rdf:type schema:PropertyValue
49 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
50 schema:name Engineering
51 rdf:type schema:DefinedTerm
52 anzsrc-for:0912 schema:inDefinedTermSet anzsrc-for:
53 schema:name Materials Engineering
54 rdf:type schema:DefinedTerm
55 sg:journal.1136516 schema:issn 1072-3374
56 1573-8795
57 schema:name Journal of Mathematical Sciences
58 rdf:type schema:Periodical
59 https://doi.org/10.1090/s0002-9947-1950-0051437-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008121516
60 rdf:type schema:CreativeWork
61 https://www.grid.ac/institutes/grid.426543.2 schema:alternateName Steklov Mathematical Institute
62 schema:name St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
63 rdf:type schema:Organization
 




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


...