On MISE of a Non linear Wavelet Estimator of the Regression Function Based on Biased Data under Strong Mixing

DOI10.1080/03610926.2014.990285zbMath1388.62094OpenAlexW1971535993MaRDI QIDQ5259100

Yogendra P. Chaubey, Esmaeil Shirazi

Publication date: 24 June 2015

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

Full work available at URL: https://doi.org/10.1080/03610926.2014.990285

zbMATH Keywords

waveletsmean integrated squared error\(\alpha\)-mixingbiased datanon linear wavelet density estimator

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (13)

Adaptive wavelet estimation of a function from an m-dependent process with possibly unbounded m ⋮ MISE of wavelet estimators for regression derivatives with biased strong mixing data ⋮ Unnamed Item ⋮ Multivariate wavelet density estimation for strong mixing stratified size-biased sample ⋮ Wavelet regression estimation over Lp risk based on negatively associated sample ⋮ Wavelet regression estimations for negatively associated sample ⋮ Nonparametric pointwise estimation for a regression model with multiplicative noise ⋮ Regression estimation under strong mixing data ⋮ A general result on the mean integrated squared error of the hard thresholding wavelet estimator under \(\alpha\)-mixing dependence ⋮ Average derivative estimation from biased data ⋮ Pointwise wavelet estimation of regression function based on biased data ⋮ Wavelet regression estimations with strong mixing data ⋮ Non linear wavelet estimation of regression derivatives based on biased data

Cites Work

• Unnamed Item
• Change-point problems in nonlinear regression estimation with dependent observations
• Nonlinear regression modeling via regularized wavelets and smoothing parameter selection
• Adaptive estimation of error density in nonparametric regression with small sample size
• On optimal estimation of a non-smooth mode in a nonparametric regression model with \(\alpha \)-mixing errors
• Wavelet regression for random or irregular design.
• Wavelets on the interval and fast wavelet transforms
• On multivariate kernel estimation for samples from weighted distributions
• Data dependent wavelet thresholding in nonparametric regression with change-point applications
• Nonparametric regression estimators for length biased data
• Wavelet threshold estimation of a regression function with random design
• Confidence bands in nonparametric regression with biased data
• An overview of nonparametric contributions to the problem of functional estimation from biased data
• Distribution estimation for biased data
• Penalized wavelet monotone regression
• Wavelet block thresholding for density estimation in the presence of bias
• Regression function estimation from dependent observations
• Wavelet-Based estimation of multivariate regression functions in besov spaces^*
• Kernel regression in the presence of size-bias
• The Invariance Principle for Stationary Processes

This page was built for publication: On MISE of a Non linear Wavelet Estimator of the Regression Function Based on Biased Data under Strong Mixing