Quadratic functional estimation in inverse problems
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Publication:537459
DOI10.1016/j.stamet.2010.05.002zbMath1213.62134arXiv0902.2309OpenAlexW1969343120MaRDI QIDQ537459
Katia Meziani, Cristina Butucea
Publication date: 20 May 2011
Published in: Statistical Methodology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.2309
projection estimatorGaussian sequence modelminimax upper boundsparametric ratePinsker estimatorsecond order risk
Non-Markovian processes: estimation (62M09) Point estimation (62F10) Markov processes: estimation; hidden Markov models (62M05)
Related Items (6)
Sharp minimax tests for large Toeplitz covariance matrices with repeated observations ⋮ Estimation of functionals of sparse covariance matrices ⋮ Simple adaptive estimation of quadratic functionals in nonparametric IV models ⋮ Estimating linear and quadratic forms via indirect observations ⋮ Adaptive minimax testing for circular convolution ⋮ Rate optimal estimation of quadratic functionals in inverse problems with partially unknown operator and application to testing problems
Cites Work
- The principle of penalized empirical risk in severely ill-posed problems
- Minimax quadratic estimation of a quadratic functional
- On the estimation of quadratic functionals
- Nonquadratic estimators of a quadratic functional
- Sharp adaptive estimation of quadratic functionals
- Optimal adaptive estimation of a quadratic functional
- Nonparametric estimation of the purity of a quantum state in quantum homodyne tomography with noisy data
- On optimal adaptive estimation of a quadratic functional
- Oracle inequalities for inverse problems
- Goodness-of-fit testing and quadratic functional estimation from indirect observations
- Some Problems on Nonparametric Estimation in Gaussian White Noise
- Adaptive estimation of a quadratic functional of a density by model selection
- Block Thresholding and Sharp Adaptive Estimation in Severely Ill-Posed Inverse Problems
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