Asymptotic Theory for the Multiscale Wavelet Density Derivative Estimator

DOI10.1081/STA-120023260zbMath1158.62316MaRDI QIDQ4420243

Toshimitsu Ochiai, Kanta Naito

Publication date: 14 August 2003

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

WaveletsKernel methodMultiscale methodDensity derivativeLinear estimator

Mathematics Subject Classification ID

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

Cites Work

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• Density estimation in Besov spaces
• Exact mean integrated squared error
• Density estimation by kernel and wavelets methods: optimality of Besov spaces
• Density estimation by wavelet thresholding
• Smoothing methods in statistics
• Recent Developments in Nonparametric Density Estimation
• Ten Lectures on Wavelets
• Ideal spatial adaptation by wavelet shrinkage
• Asymptotic normality of the multiscale wavelet density estimator

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