The optimal wavelet estimation for biased density

DOI10.1080/03610926.2021.1905845OpenAlexW3143476643MaRDI QIDQ5057348

Jun Lian Xu

Publication date: 16 December 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2021.1905845

zbMATH Keywords

optimalityadaptivitywavelet estimatorpointwise estimationbiased densitylocal Hölder space

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Cites Work

• Unnamed Item
• Block thresholding for density estimation: local and global adaptivity
• Wavelet density estimation for stratified size-biased sample
• Nonparametric curve estimation. Methods, theory, and applications
• A constrained risk inequality with applications to nonparametric functional estimation
• Wavelets, approximation, and statistical applications
• Pointwise density estimation based on negatively associated data
• Point-wise wavelet estimation in the convolution structure density model
• Pointwise density estimation for biased sample
• Point-wise estimation for anisotropic densities
• Approximation methods for supervised learning
• Wavelet block thresholding for density estimation in the presence of bias
• Wavelet linear density estimation for associated stratified size-biased sample
• Wavelet density estimation for negatively associated stratified size-biased sample
• Kernel density estimation for length biased data
• Ten Lectures on Wavelets
• On a Problem of Adaptive Estimation in Gaussian White Noise
• Introduction to nonparametric estimation

This page was built for publication: The optimal wavelet estimation for biased density