On properties of percentile bootstrap confidence intervals for prediction in functional linear regression

DOI10.1016/j.jspi.2015.10.001zbMath1331.62335OpenAlexW2195107770MaRDI QIDQ899364

S. Mohammad E. Hosseini-Nasab, Omid Khademnoe

Publication date: 28 December 2015

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2015.10.001

zbMATH Keywords

predictionEdgeworth expansionfunctional principal component analysisfunctional linear regression modelpercentile bootstrap confidence interval

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Factor analysis and principal components; correspondence analysis (62H25) Asymptotic distribution theory in statistics (62E20) Linear regression; mixed models (62J05) Nonparametric statistical resampling methods (62G09)

Uses Software

• fda (R)

Cites Work

• Unnamed Item
• Functional linear regression analysis for longitudinal data
• Regression when both response and predictor are functions
• Edgeworth expansions in functional limit theorems
• Deciding the dimension of effective dimension reduction space for functional and high-dimension\-al data
• Functional linear regression via canonical analysis
• Bootstrap in functional linear regression
• Asymptotic expansions in functional limit theorems
• Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
• Functional linear regression that's interpretable
• Prediction in functional linear regression
• CLT in functional linear regression models
• Edgeworth expansions for bootstrapping regression models
• Weak convergence in the functional autoregressive model
• Methodology and convergence rates for functional linear regression
• Bootstrapping regression models
• Edgeworth expansions in very-high-dimensional problems
• Functional data analysis
• Applied functional data analysis. Methods and case studies
• Functional linear model
• Smoothed functional principal components analysis by choice of norm
• On rates of convergence in functional linear regression
• Nonparametric functional data analysis. Theory and practice.
• On asymptotic distribution of prediction in functional linear regression
• On the Validity of the Bootstrap in Non-Parametric Functional Regression
• Theory for high-order bounds in functional principal components analysis
• Bootstrap Prediction Intervals for Regression
• Asymptotic expansions for bivariate von Mises functionals
• Testing Hypotheses in the Functional Linear Model
• Ordering and Selecting Components in Multivariate or Functional Data Linear Prediction
• Semiparametric and Nonparametric Regression Analysis of Longitudinal Data
• Jackknife Empirical Likelihood Test for Equality of Two High Dimensional Means
• Functional quadratic regression
• On Properties of Functional Principal Components Analysis
• The bootstrap and Edgeworth expansion