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Minimax Rates for Estimating the Variance and its Derivatives in Non–Parametric Regression

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Publication:4665423
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DOI10.1111/1467-842X.00249zbMath1073.62038MaRDI QIDQ4665423

Axel Munk, Frits H. Ruymgaart

Publication date: 11 April 2005

Published in: Australian & New Zealand Journal of Statistics (Search for Journal in Brave)


zbMATH Keywords

mean squared errorvariance estimationorthogonal series estimatorBayesian information boundrate optimalityy


Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Inequalities; stochastic orderings (60E15)


Related Items

Asymptotically optimal differenced estimators of error variance in nonparametric regression ⋮ Non‐parametric Analysis of Covariance – The Case of Inhomogeneous and Heteroscedastic Noise ⋮ Variance estimation in nonparametric regression via the difference sequence method ⋮ Optimal estimation of variance in nonparametric regression with random design



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