The adaptive rate of convergence in a problem of pointwise density estimation

DOI10.1016/S0167-7152(99)00141-8zbMath0977.62038MaRDI QIDQ1975357

Cristina Butucea

Publication date: 24 January 2002

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

zbMATH Keywords

minimax riskadaptive density estimationSobolev classes

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (11)

Exact adaptive pointwise estimation on Sobolev classes of densities ⋮ Point-wise estimation for anisotropic densities ⋮ Adaptive estimation of a function from its exponential Radon transform in presence of noise ⋮ Generalized deconvolution estimation by multiwavelets ⋮ Wavelet optimal estimations for a multivariate probability density function under weighted distribution ⋮ Point-wise wavelet estimation in the convolution structure density model ⋮ Adaptive estimation of the mode of a multivariate density ⋮ On minimax density estimation on \(\mathbb R\) ⋮ Adaptive and optimal pointwise deconvolution density estimations by wavelets ⋮ Pointwise wavelet estimation of regression function based on biased data ⋮ Pointwise density estimation for biased sample

Cites Work

• Renormalization exponents and optimal pointwise rates of convergence
• Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes
• A constrained risk inequality with applications to nonparametric functional estimation
• Exact adaptive pointwise estimation on Sobolev classes of densities
• On a Problem of Adaptive Estimation in Gaussian White Noise

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