Wavelet change-point estimation for the density based on biased sample

DOI10.1016/j.cam.2021.113448zbMath1461.62055OpenAlexW3127867619MaRDI QIDQ2656100

Xinsheng Liu, Yuncai Yu

Publication date: 10 March 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113448

zbMATH Keywords

waveletdensity estimationmultiple change-pointsjump sizesbiased sample

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Applications of statistics in engineering and industry; control charts (62P30)

Uses Software

• WaveThresh4
• rwavelet

Cites Work

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• Wavelet density estimation for weighted data
• Wavelet density estimation for stratified size-biased sample
• Nonparametric curve estimation. Methods, theory, and applications
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• Distribution estimation for biased data
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• Pointwise wavelet change-points estimation for dependent biased sample
• Pointwise density estimation for biased sample
• Wavelet estimation of a regression function with a sharp change point in a random design
• Wavelet block thresholding for density estimation in the presence of bias
• Efficient and robust density estimation using Bernstein type polynomials
• Wavelet linear density estimation for associated stratified size-biased sample
• Wavelet change-point estimation for long memory non-parametric random design models
• Online Anomaly Detection With Minimax Optimal Density Estimation in Nonstationary Environments

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