The wavelet detection of the jump and cusp points of a regression function

DOI10.1007/BF02679893zbMath0971.62018OpenAlexW2316459583MaRDI QIDQ1582574

Zhong-Jie Xie, Yu'an Li

Publication date: 26 November 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02679893

zbMATH Keywords

wavelet coefficientscusp pointsjump pointsstationary noises

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General nonlinear regression (62J02)

Related Items

The wavelet identification for jump points of derivative in regression model ⋮ Detection of the jump points of a heteroscedastic regression model by wavelets

Cites Work

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• Change-points in nonparametric regression analysis
• Kernel-type estimators of jump points and values of a regression function
• Wavelets on the interval and fast wavelet transforms
• The wavelet detection of hidden periodicities in time series
• Detection of the number, locations and magnitudes of jumps
• Singularity detection and processing with wavelets
• Ten Lectures on Wavelets
• A generalized change detection problem
• Jump and sharp cusp detection by wavelets