A note on the inverse estimation of band-limited signals

DOI10.1016/0167-7152(95)00071-2zbMath0855.62026OpenAlexW2045449168MaRDI QIDQ1916199

Frits H. Ruymgaart

Publication date: 9 February 1997

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(95)00071-2

zbMATH Keywords

Hilbert spacepreconditioningdeconvolutionband-limited functionsspectral theoremHermitian operatorsinverse estimationindirect density estimationindirectly observed signalsunbiased root-\(n\) consistent estimators

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Applications of statistics (62P99) Survival analysis and censored data (62N99) Applications of functional analysis in probability theory and statistics (46N30)

Cites Work

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• Geometrizing rates of convergence. III
• A unified approach to inversion problems in statistics
• Fourier methods for estimating mixing densities and distributions
• Nonexistence of informative unbiased estimators in singular problems
• Remarks on Some Nonparametric Estimates of a Density Function
• What Does the Spectral Theorem Say?
• On the Estimation of the Probability Density, I

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