A law of the iterated logarithm for wavelet density estimator

DOI10.1016/S1631-073X(02)02519-0zbMath1004.62051MaRDI QIDQ1852835

Anne Massiani

Publication date: 16 February 2003

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

zbMATH Keywords

law of the iterated logarithmpointwise central limit theoremlinear wavelet density estimator

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items

On the integrated squared error of the linear wavelet density estimator ⋮ Wavelets-based estimation of nonlinear canonical analysis ⋮ 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) ⋮ Comportement asymptotique d'un estimateur de la densité adaptatif par méthode d'ondelettes. (Asymptotic behavior of an adaptive wavelet density estimator)

Cites Work

• Unnamed Item
• Unnamed Item
• A strong invariance theorem for the tail empirical process
• Functional laws of the iterated logarithm for the increments of empirical and quantile processes
• Functional laws of the iterated logarithm for local empirical processes indexed by sets
• Wavelets, approximation, and statistical applications
• Laws of the iterated logarithm for nonparametric density estimators
• Ten Lectures on Wavelets
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• On the asymptotlc normality for l₂-error of wavelei density estimator with application
• Wavelet Methods for Curve Estimation
• Asymptotic normality of the multiscale wavelet density estimator