Nonquadratic estimators of a quadratic functional

From MaRDI portal
Publication:818000

DOI10.1214/009053605000000147zbMath1085.62055arXivmath/0603134OpenAlexW2025612377MaRDI QIDQ818000

T. Tony Cai, Mark G. Low

Publication date: 23 March 2006

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603134



Related Items

Obtaining minimax lower bounds: a review, Minimax estimation of norms of a probability density. I: Lower bounds, Minimax estimation of norms of a probability density. II: Rate-optimal estimation procedures, Minimax and adaptive inference in nonparametric function estimation, Estimation of Simultaneous Signals Using Absolute Inner Product with Applications to Integrative Genomics, Estimating minimum effect with outlier selection, Optimal adaptive estimation of a quadratic functional, Asymptotically efficient estimation of smooth functionals of covariance operators, Estimation of the \(\ell_2\)-norm and testing in sparse linear regression with unknown variance, Estimation of functionals of sparse covariance matrices, Unnamed Item, Interactive versus noninteractive locally differentially private estimation: two elbows for the quadratic functional, On adaptive wavelet estimation of a quadratic functional from a deconvolution problem, Estimating linear and quadratic forms via indirect observations, Local asymptotic equivalence of pure states ensembles and quantum Gaussian white noise, Adaptive estimation of high-dimensional signal-to-noise ratios, Optimal rates of entropy estimation over Lipschitz balls, Quadratic functional estimation in inverse problems, On efficiency of the plug-in principle for estimating smooth integrated functionals of a nonincreasing density, Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional, Efficient estimation of smooth functionals in Gaussian shift models, Estimation of smooth functionals of location parameter in Gaussian and Poincaré random shift models., Estimation of smooth functionals in normal models: bias reduction and asymptotic efficiency, Rate optimal estimation of quadratic functionals in inverse problems with partially unknown operator and application to testing problems, Optimal Estimation of Genetic Relatedness in High-Dimensional Linear Models, Nonparametric confidence intervals for the integral of a function of an unknown density, Asymptotic equivalence and adaptive estimation for robust nonparametric regression, On estimation of \(L_r\)-norms in Gaussian white noise models, Estimation of smooth functionals in high-dimensional models: bootstrap chains and Gaussian approximation



Cites Work