Estimation and inference in functional single-index models

DOI10.1007/s10463-014-0488-3zbMath1440.62132OpenAlexW2025984676MaRDI QIDQ5963708

Shujie Ma

Publication date: 23 February 2016

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-014-0488-3

zbMATH Keywords

simultaneous inferencefunctional data analysissingle-index modelsB splinesconfidence bandsfunctional linear models

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Functional data analysis (62R10) Generalized linear models (logistic models) (62J12)

Related Items (17)

Estimation in functional single-index varying coefficient model ⋮ Robust estimation with a modified Huber's loss for partial functional linear models based on splines ⋮ On dimension reduction models for functional data ⋮ Profile Estimation for Partial Functional Partially Linear Single-Index Model ⋮ A \(k\)NN procedure in semiparametric functional data analysis ⋮ Sparse semiparametric regression when predictors are mixture of functional and high-dimensional variables ⋮ Nonparametric modelling for functional data: selected survey and tracks for future ⋮ Estimation and Inference for Dynamic Single-Index Varying-Coefficient Models ⋮ Estimation and inference in partially functional linear regression with multiple functional covariates ⋮ Functional single-index composite quantile regression ⋮ Estimation on functional partially linear single index measurement error model ⋮ Discussion of the paper ‘A general framework for functional regression modelling’ ⋮ Dynamic single-index model for functional data ⋮ Automatic and location-adaptive estimation in functional single-index regression ⋮ The Jensen effect and functional single index models: estimating the ecological implications of nonlinear reaction norms ⋮ On double-index dimension reduction for partially functional data ⋮ Robust estimation for a general functional single index model via quantile regression

Uses Software

• fda (R)

Cites Work

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• Functional linear regression analysis for longitudinal data
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• Methodology and convergence rates for functional linear regression
• Semiparametric least squares (SLS) and weighted SLS estimation of single-index models
• Local asymptotics for polynomial spline regression
• Local asymptotics for regression splines and confidence regions
• Spectral bounds for \(\| A^{-1}\| _{\infty}\)
• Generalized functional linear models
• Functional single index models for longitudinal data
• On rates of convergence in functional linear regression
• Functional data analysis.
• Adaptive Inference for the Mean of a Gaussian Process in Functional Data
• A simultaneous confidence band for sparse longitudinal regression
• Asymptotic properties of penalized spline estimators
• Generalized Partially Linear Single-Index Models
• An Adaptive Estimation of Dimension Reduction Space
• Consistent Model Selection for Marginal Generalized Additive Model for Correlated Data
• A practical guide to splines.

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