Single-index partially functional linear regression model

DOI10.1007/s00362-018-0980-6zbMath1443.62541OpenAlexW2791665823MaRDI QIDQ779689

Jiang Du, Ping Yu, Zhong-Zhan Zhang

Publication date: 14 July 2020

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

Full work available at URL: https://doi.org/10.1007/s00362-018-0980-6

zbMATH Keywords

B-splinefunctional data analysissingle-index modelfunctional linear regression model

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Functional data analysis (62R10) Linear regression; mixed models (62J05) Applications of statistics in engineering and industry; control charts (62P30)

Related Items (17)

Missing responses at random in functional single index model for time series data ⋮ Weight fused functional sliced average variance estimation ⋮ Rank method for partial functional linear regression models ⋮ Robust estimation for partial functional linear regression models based on FPCA and weighted composite quantile regression ⋮ Functional sufficient dimension reduction based on weighted method ⋮ Rank-based estimation in varying coefficient partially functional linear regression models ⋮ Functional dimension reduction based on fuzzy partition and transformation ⋮ Functional regression with dependent error and missing observation in reproducing kernel Hilbert spaces ⋮ High-dimensional local polynomial regression with variable selection and dimension reduction ⋮ Functional single-index composite quantile regression ⋮ Empirical likelihood in single-index partially functional linear model with missing observations ⋮ Polynomial spline estimation of panel count data model with an unknown link function ⋮ Generalized Functional Partially Linear Single-index Models ⋮ Composite quantile estimation in partial functional linear regression model based on polynomial spline ⋮ FPCA-based estimation for generalized functional partially linear models ⋮ Robust estimation of single index models with responses missing at random ⋮ Estimation of partially linear single-index spatial autoregressive model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Functional linear regression analysis for longitudinal data
• Varying coefficient partially functional linear regression models
• Spline estimators for semi-functional linear model
• A test of linearity in partial functional linear regression
• A reproducing kernel Hilbert space approach to functional linear regression
• Partial linear modelling with multi-functional covariates
• Prediction in functional linear regression
• Empirical likelihood confidence regions of the parameters in a partially linear single-index model
• Variable selection for semiparametric varying coefficient partially linear errors-in-variables models
• Variable selection in nonparametric additive models
• Methodology and convergence rates for functional linear regression
• Smoothing splines estimators for functional linear regression
• Additive regression and other nonparametric models
• Optimal rates of convergence for nonparametric estimators
• Semiparametric least squares (SLS) and weighted SLS estimation of single-index models
• Partial functional linear regression
• Semi-functional partial linear regression
• Nonparametric functional data analysis. Theory and practice.
• Robust variable selection in partially varying coefficient single-index model
• Functional partial linear model
• Consistent Estimation of Scaled Coefficients
• Generalized Partially Linear Single-Index Models
• Penalized Spline Estimation for Partially Linear Single-Index Models
• An Adaptive Estimation of Dimension Reduction Space
• Variable selection for partially varying coefficient single-index model
• Asymptotics for penalised splines in generalised additive models

This page was built for publication: Single-index partially functional linear regression model