Rate optimal estimation of quadratic functionals in inverse problems with partially unknown operator and application to testing problems
Work
Year: 2018
Type: article
Abstract: We consider the estimation of quadratic functionals in a Gaussian sequence model where the eigenvalues are supposed to be unknown and accessible through noisy observations only. Imposing smoothness as... more
Source: ESAIM Probability and Statistics
Author Martin Kröll
Institutions École Nationale de la Statistique et de l'Administration Économique, Centre de Recherche en Économie et Statistique
Cites: 41
Cited by: 7
Related to: 10
FWCI: 1.231
Citation percentile (by year/subfield): 53.81
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Grant ID ANR-11-LABX-0047