A unified approach to inversion problems in statistics

zbMath0798.62010MaRDI QIDQ1332110

Frits H. Ruymgaart

Publication date: 8 September 1994

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

zbMATH Keywords

upper boundill-posed problempolar decompositionstatistical inverse problemsbounded operatorintegrated mean squared errordeconvolution problemsrecovery problemoperator inversionHilbert space settingasymptotic minimax rateregularized inverses

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Spectrum, resolvent (47A10) Applications of operator theory in probability theory and statistics (47N30)

Related Items

Weyl eigenvalue asymptotics and sharp adaptation on vector bundles, A note on the inverse estimation of band-limited signals, Asymptotic minimax rates for abstract linear estimators, Deconvolution from panel data with unknown error distribution, Bayesian inverse problems with Gaussian priors, Sharp adaptation for spherical inverse problems with applications to medical imaging, Density deconvolution in the circular structural model