Robust estimation for varying coefficient partially functional linear regression models based on exponential squared loss function

DOI10.1515/math-2022-0501zbMath1503.62043OpenAlexW4313122904WikidataQ115514332 ScholiaQ115514332MaRDI QIDQ2111807

Yanyan Li

Publication date: 17 January 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2022-0501

zbMATH Keywords

convergence ratesrobustnessexponential squared loss functionvarying coefficient partially functional linear regression models

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Factor analysis and principal components; correspondence analysis (62H25) Functional data analysis (62R10) Nonparametric robustness (62G35) Linear regression; mixed models (62J05) Nonparametric estimation (62G05)

Cites Work

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• Functional linear regression analysis for longitudinal data
• Varying coefficient partially functional linear regression models
• Inference for functional data with applications
• Spline estimators for semi-functional linear model
• Robust smooth-threshold estimating equations for generalized varying-coefficient partially linear models based on exponential score function
• Statistical methods with varying coefficient models
• Robust exponential squared loss-based variable selection for high-dimensional single-index varying-coefficient model
• Estimation in functional linear quantile regression
• Prediction in functional linear regression
• Sieve M-estimator for a semi-functional linear model
• Methodology and convergence rates for functional linear regression
• Robust variable selection in high-dimensional varying coefficient models based on weighted composite quantile regression
• Robust estimation for the varying coefficient partially nonlinear models
• Robust spline-based variable selection in varying coefficient model
• Partial functional linear regression
• Varying-coefficient partially functional linear quantile regression models
• Robust exponential squared loss-based estimation in semi-functional linear regression models
• Partially functional linear varying coefficient model
• Local modal regression
• Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
• Varying-coefficient models and basis function approximations for the analysis of repeated measurements
• Minimax and Adaptive Prediction for Functional Linear Regression
• Adaptive Global Testing for Functional Linear Models
• Shrinkage Estimation of the Varying Coefficient Model
• Robust Variable Selection With Exponential Squared Loss
• Tuning parameter selectors for the smoothly clipped absolute deviation method

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