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David Dickey, D. Brillinger (1982)
Time Series: Data Analysis and Theory., 145
J.H. Shiau (1985)
Smoothing Spline Estimation of Functions with Discontinuities
H. Müller (1992)
CHANGE-POINTS IN NONPARAMETRIC REGRESSION ANALYSIS'Annals of Statistics, 20
J. Wu, C. Chu (1993)
Kernel-Type Estimators of Jump Points and Values of a Regression FunctionAnnals of Statistics, 21
Y. Yin (1988)
Detection of the number, locations and magnitudes of jumps, 4
S. Mallat, W. Hwang (1992)
Singularity detection and processing with waveletsIEEE Trans. Inf. Theory, 38
A. Cohen, I. Daubechies, P. Vial (1993)
Wavelets on the Interval and Fast Wavelet TransformsApplied and Computational Harmonic Analysis, 1
P. Speckman (1988)
Kernel smoothing in partial linear modelsJournal of the royal statistical society series b-methodological, 50
S.G. Mallat, W.L. Hwang (1992)
Singularity Detection and Processing with Stationary IncrementsIEEE Trans. Inform. Theory, 38
Yazhen Wang (1995)
Jump and sharp cusp detection by waveletsBiometrika, 82
Yuan Li, Z. Xie (1997)
The wavelet detection of hidden periodicities in time seriesStatistics & Probability Letters, 35
I. Daubechies (1992)
Ten Lectures on WaveletsComputers in Physics, 6
I. Nikiforov (1995)
A generalized change detection problemIEEE Trans. Inf. Theory, 41
Wavelets are applied to a regression model with an additive stationary noise. By checking the empirical wavelet coefficients with significantly large absolute values across fine scale levels, the jump points are detected first. Then the cusp points are identified by checking the wavelet coefficients with significantly large absolute values which are secondly, large only to the previous wavelet coefficient across fine scale levels. All estimators are shown to be consistent.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 18, 2007
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