On a local property of wavelet estimators involving time series

DOI10.1080/10485259608832668zbMath0878.62030OpenAlexW1994588168MaRDI QIDQ4345892

Prakash N. Patil, Young K. Truong

Publication date: 15 January 1998

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485259608832668

zbMATH Keywords

differentiabilityconvergence ratekernel methodorthogonal seriesdensity estimationregressionscaling functiondilation equationmean function estimationnon-parametric curve estimatesmoothness wavelet

Mathematics Subject Classification ID

Density estimation (62G07) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10)

Cites Work

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• Nonparametric curve estimation with time series errors
• Density estimation in Besov spaces
• Density estimation by kernel and wavelets methods: optimality of Besov spaces
• Minimax risk over \(l_ p\)-balls for \(l_ q\)-error
• Ten Lectures on Wavelets
• Ideal spatial adaptation by wavelet shrinkage
• Wavelets and Dilation Equations: A Brief Introduction

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