Estimation in linear regression models with measurement errors subject to single-indexed distortion

DOI10.1016/j.csda.2012.10.001zbMath1400.62149OpenAlexW2075887536MaRDI QIDQ1621210

Ping Wu, Jun Zhang, Yujie Gai

Publication date: 8 November 2018

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2012.10.001

zbMATH Keywords

varying coefficient modelsmeasurement errorsprofile least squaressingle indexconfounding variables

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Linear regression; mixed models (62J05) Applications of statistics to biology and medical sciences; meta analysis (62P10)

Related Items (10)

Checking the adequacy for a distortion errors-in-variables parametric regression model ⋮ A revisit to correlation analysis for distortion measurement error data ⋮ Statistical inference on restricted partial linear regression models with partial distortion measurement errors ⋮ Correlation analysis with additive distortion measurement errors ⋮ Efficient estimation for marginal generalized partially linear single-index models with longitudinal data ⋮ Statistical inference on partial linear additive models with distortion measurement errors ⋮ A nonparametric test for covariate-adjusted models ⋮ Nonlinear measurement errors models subject to partial linear additive distortion ⋮ Variable Selection for Semiparametric Partially Linear Covariate-Adjusted Regression Models ⋮ Estimating the conditional single-index error distribution with a partial linear mean regression

Cites Work

• Unnamed Item
• Unnamed Item
• Estimation and testing for partially linear single-index models
• A constructive approach to the estimation of dimension reduction directions
• Non-convex penalized estimation in high-dimensional models with single-index structure
• The EFM approach for single-index models
• On a dimension reduction regression with covariate adjustment
• Empirical likelihood inference in partially linear single-index models for longitudinal data
• Statistical inference for semiparametric varying-coefficient partially linear models with error-prone linear covariates
• Profile likelihood and conditionally parametric models
• Model checks for regression: an innovation process approach
• Asymptotics for kernel estimate of sliced inverse regression
• Bias-corrected empirical likelihood in a multi-link semiparametric model
• Optimal smoothing in single-index models
• Covariate-adjusted nonlinear regression
• Inference for covariate adjusted regression via varying coefficient models
• Approximation Theorems of Mathematical Statistics
• Empirical Likelihood Confidence Regions in a Partially Linear Single-Index Model
• Multicovariate-adjusted regression models
• Covariate-adjusted generalized linear models
• Sliced Inverse Regression for Dimension Reduction
• Generalized Partially Linear Single-Index Models
• Penalized Spline Estimation for Partially Linear Single-Index Models
• On Single-Index Coefficient Regression Models
• An Adaptive Estimation of Dimension Reduction Space
• Shrinkage Estimation of the Varying Coefficient Model
• Covariate-adjusted regression
• Measurement Error in Nonlinear Models

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