Estimation, imputation and prediction for the functional linear model with scalar response with responses missing at random

DOI10.1016/J.CSDA.2018.07.006zbMath1471.62061OpenAlexW2883828048MaRDI QIDQ1615265

Manuel Febrero-Bande, Pedro Galeano, Wenceslao González Manteiga

Publication date: 2 November 2018

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2018.07.006

zbMATH Keywords

missing at randomfunctional linear modelmean square error of predictionmean square error of estimationimputation of missing responsesscalar response

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Nonparametric regression and quantile regression (62G08) Factor analysis and principal components; correspondence analysis (62H25) Functional data analysis (62R10) Linear regression; mixed models (62J05)

Related Items (8)

Elucidating Age and Sex-Dependent Association Between Frontal EEG Asymmetry and Depression: An Application of Multiple Imputation in Functional Regression ⋮ Functional linear model with partially observed covariate and missing values in the response ⋮ Editorial for the special issue on high-dimensional and functional data analysis ⋮ Missing responses at random in functional single index model for time series data ⋮ Functional regression with dependent error and missing observation in reproducing kernel Hilbert spaces ⋮ Empirical likelihood in single-index partially functional linear model with missing observations ⋮ Single Functional Index Model under Responses MAR and Dependent Observations ⋮ Localization processes for functional data analysis

Uses Software

• fda (R)
• rp.flm.test
• pffr

Cites Work

• Unnamed Item
• An introduction to recent advances in high/infinite dimensional statistics
• A partial overview of the theory of statistics with functional data
• Inference for functional data with applications
• Prediction in functional linear regression
• CLT in functional linear regression models
• Methodology and convergence rates for functional linear regression
• Diagnostics for functional regression via residual processes
• Functional linear model
• Nonparametric regression estimation for functional stationary ergodic data with missing at random
• On rates of convergence in functional linear regression
• Functional data analysis.
• Nonparametric functional data analysis. Theory and practice.
• Mean estimation with data missing at random for functional covariables
• Conditional mode estimation for functional stationary ergodic data with responses missing at random
• Presmoothing in functional linear regression
• Introduction to Functional Data Analysis
• A general framework for functional regression modelling
• Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
• On Properties of Functional Principal Components Analysis
• Functional Principal Component Regression and Functional Partial Least‐squares Regression: An Overview and a Comparative Study
• Methods for Scalar‐on‐Function Regression

This page was built for publication: Estimation, imputation and prediction for the functional linear model with scalar response with responses missing at random