Varying coefficient partially functional linear regression models

DOI10.1007/s00362-015-0681-3zbMath1373.62161OpenAlexW1969862060MaRDI QIDQ345381

Jianjun Zhou, Qingyan Peng, Nian Sheng Tang

Publication date: 1 December 2016

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

Full work available at URL: https://doi.org/10.1007/s00362-015-0681-3

zbMATH Keywords

functional linear modelsuniform convergence ratevarying coefficient modelpolynomial splineglobal convergence rate

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20)

Related Items

Rank method for partial functional linear regression models ⋮ Robust estimation for varying index coefficient models ⋮ Quantile estimation for a hybrid model of functional and varying coefficient regressions ⋮ Varying-coefficient partially functional linear quantile regression models ⋮ Rank-based estimation in varying coefficient partially functional linear regression models ⋮ Robust exponential squared loss-based estimation in semi-functional linear regression models ⋮ Selected statistical methods of data analysis for multivariate functional data ⋮ Rank-based test for partial functional linear regression models ⋮ FPCA-based estimation for generalized functional partially linear models ⋮ Single-index partially functional linear regression model ⋮ Robust estimation for varying coefficient partially functional linear regression models based on exponential squared loss function

Uses Software

• fda (R)

Cites Work

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• Functional linear regression analysis for longitudinal data
• Spline estimators for semi-functional linear model
• Empirical likelihood confidence intervals for nonparametric functional data analysis
• Varying-coefficient functional linear regression
• Automatic estimation procedure in partial linear model with functional data
• Prediction in functional linear regression
• Local linear regression for functional predictor and scalar response
• Methodology and convergence rates for functional linear regression
• Functional semiparametric partially linear model with autoregressive errors
• Additive regression and other nonparametric models
• Convergence rates and asymptotic normality for series estimators
• Functional linear model
• Local asymptotics for regression splines and confidence regions
• Optimal global rates of convergence for nonparametric regression
• Nonparametric time series prediction: A semi-functional partial linear modeling
• Functional-coefficient partially linear regression model
• Functional data analysis.
• Semi-functional partial linear regression
• Nonparametric functional data analysis. Theory and practice.
• Functional partial linear model
• Polynomial splines and nonparametric regression
• Functional-Coefficient Regression Models for Nonlinear Time Series
• Functional Quasi-Likelihood Regression Models with Smooth Random Effects
• Functional Coefficient Regression Models for Non-linear Time Series: A Polynomial Spline Approach
• Two‐Stage Functional Mixed Models for Evaluating the Effect of Longitudinal Covariate Profiles on a Scalar Outcome
• Varying-Coefficient Functional Linear Regression Models
• A practical guide to splines.