Convergence rate of wavelet density estimator with data missing randomly when covariables are present

DOI10.1080/03610926.2015.1010008zbMath1360.62166OpenAlexW2403509343MaRDI QIDQ2980153

Han-Ying Liang, Yu-Ye Zou

Publication date: 27 April 2017

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

Full work available at URL: https://doi.org/10.1080/03610926.2015.1010008

zbMATH Keywords

Besov spacemissing dataglobal \(L_2\) errornon linear wavelet density estimator

Mathematics Subject Classification ID

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

Related Items (1)

CLT for integrated square error of density estimators with censoring indicators missing at random

Cites Work

• Estimating the density of a possibly missing response variable in nonlinear regression
• Wavelet estimation of conditional density with truncated, censored and dependent data
• On the minimax optimality of wavelet estimators with censored data
• Empirical likelihood confidence bands for distribution functions with missing responses
• Theory of function spaces II
• Non-linear wavelet-based density estimators under random censorship
• Empirical likelihood inference in linear regression with nonignorable missing response
• Minimax estimation via wavelet shrinkage
• Density estimation by wavelet thresholding
• Formulae for mean integrated squared error of nonlinear wavelet-based density estimators
• Probability density estimation with data missing at random when covariables are present
• NONLINEAR WAVELET DENSITY ESTIMATION FOR TRUNCATED AND DEPENDENT OBSERVATIONS
• Approximation Theorems of Mathematical Statistics
• HAZARD RATE ESTIMATION FOR CENSORED DATA BY WAVELET METHODS
• Nonlinear wavelet density and hazard rate estimation for censored data under dependent observations

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