Vitesse de convergence uniforme presque sûre de l'estimateur linéaire par méthode d'ondelettes. (Rate of almost sure uniform convergence of the linear wavelet density estimator)

DOI10.1016/S1631-073X(03)00259-0zbMath1020.62028MaRDI QIDQ1408232

Anne Massiani

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Functional limit theorems; invariance principles (60F17)

Related Items (4)

Uniform limit theorems for wavelet density estimators ⋮ A note on uniform consistency of monotone function estimators ⋮ On the integrated squared error of the linear wavelet density estimator ⋮ Some asymptotic results on density estimators by wavelet projections

Cites Work

• Unnamed Item
• A law of the logarithm for kernel density estimators
• Functional laws of the iterated logarithm for the increments of empirical and quantile processes
• Minimax risk over \(l_ p\)-balls for \(l_ q\)-error
• Wavelets, approximation, and statistical applications
• Block threshold rules for curve estimation using kernel and wavelet methods
• On the law of the logarithm for density estimators
• A law of the iterated logarithm for wavelet density estimator
• Laws of the iterated logarithm for nonparametric density estimators
• On the asymptotlc normality for l₂-error of wavelei density estimator with application

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