Adaptive testing for the partially linear single-index model with error-prone linear covariates

DOI10.1016/j.stamet.2014.12.002zbMath1487.62032OpenAlexW2044001983MaRDI QIDQ1731365

Zhen Pang, Bingqing Lin, Zhen-Sheng Huang, Quan Xi Shao

Publication date: 13 March 2019

Published in: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.stamet.2014.12.002

zbMATH Keywords

measurement errorpenalty functionsingle-index modelSCADlikelihood ratio method

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric hypothesis testing (62G10) Applications of statistics to biology and medical sciences; meta analysis (62P10)

Related Items (1)

Varying-coefficient single-index measurement error model

Cites Work

• Estimation and testing for partially linear single-index models
• Estimation for a partial-linear single-index model
• A central limit theorem for generalized quadratic forms
• Semi-parametric estimation of partially linear single-index models
• Statistical estimation in partially linear single-index models with error-prone linear covariates
• A Selective Overview of Variable Selection in High Dimensional Feature Space (Invited Review Article)
• Empirical Likelihood Confidence Regions in a Partially Linear Single-Index Model
• Generalized Partially Linear Single-Index Models
• Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
• Penalized Spline Estimation for Partially Linear Single-Index Models
• Tuning parameter selectors for the smoothly clipped absolute deviation method
• Measurement Error in Nonlinear Models

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