NONLINEAR ESTIMATION FOR LINEAR INVERSE PROBLEMS WITH ERROR IN THE OPERATOR
- Author
- HOFFMANN, Marc; REISS, Markus
[1] University of Marne-la-Valée, France
[2] University of Heidelberg, Germany - Source
Annals of statistics. 2008, Vol 36, Num 1, pp 310-336, 27 p ; ref : 17 ref
- CODEN
- ASTSC7
- ISSN
- 0090-5364
- Scientific domain
- Mathematics
- Publisher
- Institute of Mathematical Statistics, Hayward, CA
- Publication country
- United States
- Document type
- Article
- Language
- English
- Keyword (fr)
- Algèbre linéaire numérique Analyse numérique Estimation erreur Estimation linéaire Estimation non linéaire Etude méthode Méthode Galerkin Méthode régularisation Méthode statistique Ondelette Opérateur linéaire Problème inverse Problème mal posé Problème non linéaire Régularisation Transformation ondelette 42C40 47Axx 62Jxx 65F22 65T60 Classe Besov
- Keyword (en)
- Numerical linear algebra Numerical analysis Error estimation Linear estimation Non linear estimation Method study Galerkin method Regularization method Statistical method Wavelets Linear operator Inverse problem Ill posed problem Nonlinear problems Regularization Wavelet transformation Besov class
- Keyword (es)
- Algebra lineal numérica Análisis numérico Estimación error Estimación lineal Estimación no lineal Estudio método Método Galerkin Método regularización Método estadístico Operador lineal Problema inverso Problema mal planteado Regularización Transformación ondita
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E17 Operator theory
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02H Probability and statistics / 001A02H02 Statistics / 001A02H02A General topics
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02H Probability and statistics / 001A02H02 Statistics / 001A02H02J Linear inference, regression
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02I Numerical analysis. Scientific computation / 001A02I01 Numerical analysis / 001A02I01E Numerical linear algebra
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 20140322
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Access to the document
Install on your browser
DOI
10.1214/009053607000000721 
https://dx.doi.org/10.1214/009053607000000721
"O:13:\"PanistOpenUrl\":36:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000idc\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1214\/009053607000000721\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:75:\"NONLINEAR ESTIMATION FOR LINEAR INVERSE PROBLEMS WITH ERROR IN THE OPERATOR\";s:9:\"\u0000*\u0000jtitle\";s:20:\"Annals of statistics\";s:9:\"\u0000*\u0000stitle\";s:9:\"Ann. stat\";s:7:\"\u0000*\u0000date\";s:4:\"2008\";s:9:\"\u0000*\u0000volume\";s:2:\"36\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:3:\"310\";s:8:\"\u0000*\u0000epage\";s:3:\"336\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0090-5364\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:8:\"HOFFMANN\";s:10:\"\u0000*\u0000aufirst\";s:4:\"Marc\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:13:\"REISS, Markus\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"ASTSC7\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:75:\"NONLINEAR ESTIMATION FOR LINEAR INVERSE PROBLEMS WITH ERROR IN THE OPERATOR\";s:8:\"\u0000*\u0000place\";s:11:\"Hayward, CA\";s:6:\"\u0000*\u0000pub\";s:36:\"Institute of Mathematical Statistics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"27\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Panist access
"O:12:\"IstexOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1214\/009053607000000721\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:75:\"NONLINEAR ESTIMATION FOR LINEAR INVERSE PROBLEMS WITH ERROR IN THE OPERATOR\";s:9:\"\u0000*\u0000jtitle\";s:20:\"Annals of statistics\";s:9:\"\u0000*\u0000stitle\";s:9:\"Ann. stat\";s:7:\"\u0000*\u0000date\";s:4:\"2008\";s:9:\"\u0000*\u0000volume\";s:2:\"36\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:3:\"310\";s:8:\"\u0000*\u0000epage\";s:3:\"336\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0090-5364\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:8:\"HOFFMANN\";s:10:\"\u0000*\u0000aufirst\";s:4:\"Marc\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:13:\"REISS, Markus\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"ASTSC7\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:75:\"NONLINEAR ESTIMATION FOR LINEAR INVERSE PROBLEMS WITH ERROR IN THE OPERATOR\";s:8:\"\u0000*\u0000place\";s:11:\"Hayward, CA\";s:6:\"\u0000*\u0000pub\";s:36:\"Institute of Mathematical Statistics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"27\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Istex access
"O:16:\"UnpaywallOpenUrl\":35:{s:8:\"\u0000*\u0000email\";s:27:\"assistance-portail@inist.fr\";s:6:\"\u0000*\u0000fmt\";N;s:6:\"\u0000*\u0000doi\";s:26:\"10.1214\/009053607000000721\";s:6:\"\u0000*\u0000pii\";N;s:7:\"\u0000*\u0000pmid\";N;s:9:\"\u0000*\u0000atitle\";N;s:9:\"\u0000*\u0000jtitle\";N;s:9:\"\u0000*\u0000stitle\";N;s:7:\"\u0000*\u0000date\";N;s:9:\"\u0000*\u0000volume\";N;s:8:\"\u0000*\u0000issue\";N;s:8:\"\u0000*\u0000spage\";N;s:8:\"\u0000*\u0000epage\";N;s:8:\"\u0000*\u0000pages\";N;s:7:\"\u0000*\u0000issn\";N;s:8:\"\u0000*\u0000eissn\";N;s:9:\"\u0000*\u0000aulast\";N;s:10:\"\u0000*\u0000aufirst\";N;s:9:\"\u0000*\u0000auinit\";N;s:10:\"\u0000*\u0000auinitm\";N;s:5:\"\u0000*\u0000au\";N;s:9:\"\u0000*\u0000aucorp\";N;s:7:\"\u0000*\u0000isbn\";N;s:8:\"\u0000*\u0000coden\";N;s:8:\"\u0000*\u0000genre\";N;s:7:\"\u0000*\u0000part\";N;s:9:\"\u0000*\u0000btitle\";N;s:8:\"\u0000*\u0000title\";N;s:8:\"\u0000*\u0000place\";N;s:6:\"\u0000*\u0000pub\";N;s:10:\"\u0000*\u0000edition\";N;s:9:\"\u0000*\u0000tpages\";N;s:9:\"\u0000*\u0000series\";N;s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";N;}"
Unpaywall access
"O:16:\"EuropePMCOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1214\/009053607000000721\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:75:\"NONLINEAR ESTIMATION FOR LINEAR INVERSE PROBLEMS WITH ERROR IN THE OPERATOR\";s:9:\"\u0000*\u0000jtitle\";s:20:\"Annals of statistics\";s:9:\"\u0000*\u0000stitle\";s:9:\"Ann. stat\";s:7:\"\u0000*\u0000date\";s:4:\"2008\";s:9:\"\u0000*\u0000volume\";s:2:\"36\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:3:\"310\";s:8:\"\u0000*\u0000epage\";s:3:\"336\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0090-5364\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:8:\"HOFFMANN\";s:10:\"\u0000*\u0000aufirst\";s:4:\"Marc\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:13:\"REISS, Markus\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"ASTSC7\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:75:\"NONLINEAR ESTIMATION FOR LINEAR INVERSE PROBLEMS WITH ERROR IN THE OPERATOR\";s:8:\"\u0000*\u0000place\";s:11:\"Hayward, CA\";s:6:\"\u0000*\u0000pub\";s:36:\"Institute of Mathematical Statistics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"27\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Europe PubMed Central access
"O:11:\"BaseOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1214\/009053607000000721\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:75:\"NONLINEAR ESTIMATION FOR LINEAR INVERSE PROBLEMS WITH ERROR IN THE OPERATOR\";s:9:\"\u0000*\u0000jtitle\";s:20:\"Annals of statistics\";s:9:\"\u0000*\u0000stitle\";s:9:\"Ann. stat\";s:7:\"\u0000*\u0000date\";s:4:\"2008\";s:9:\"\u0000*\u0000volume\";s:2:\"36\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:3:\"310\";s:8:\"\u0000*\u0000epage\";s:3:\"336\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0090-5364\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:8:\"HOFFMANN\";s:10:\"\u0000*\u0000aufirst\";s:4:\"Marc\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:13:\"REISS, Markus\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"ASTSC7\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:75:\"NONLINEAR ESTIMATION FOR LINEAR INVERSE PROBLEMS WITH ERROR IN THE OPERATOR\";s:8:\"\u0000*\u0000place\";s:11:\"Hayward, CA\";s:6:\"\u0000*\u0000pub\";s:36:\"Institute of Mathematical Statistics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"27\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Base Search access
"O:12:\"ArXivOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1214\/009053607000000721\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:75:\"NONLINEAR ESTIMATION FOR LINEAR INVERSE PROBLEMS WITH ERROR IN THE OPERATOR\";s:9:\"\u0000*\u0000jtitle\";s:20:\"Annals of statistics\";s:9:\"\u0000*\u0000stitle\";s:9:\"Ann. stat\";s:7:\"\u0000*\u0000date\";s:4:\"2008\";s:9:\"\u0000*\u0000volume\";s:2:\"36\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:3:\"310\";s:8:\"\u0000*\u0000epage\";s:3:\"336\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0090-5364\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:8:\"HOFFMANN\";s:10:\"\u0000*\u0000aufirst\";s:4:\"Marc\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:13:\"REISS, Markus\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"ASTSC7\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:75:\"NONLINEAR ESTIMATION FOR LINEAR INVERSE PROBLEMS WITH ERROR IN THE OPERATOR\";s:8:\"\u0000*\u0000place\";s:11:\"Hayward, CA\";s:6:\"\u0000*\u0000pub\";s:36:\"Institute of Mathematical Statistics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"27\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
arXiv access
