Spline confidence bands for functional derivatives

DOI10.1016/j.jspi.2012.01.009zbMath1242.62037OpenAlexW1993238557WikidataQ42239493 ScholiaQ42239493MaRDI QIDQ434571

Guanqun Cao, David Todem, Li Wang, Jing Wang

Publication date: 16 July 2012

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

Full work available at URL: http://europepmc.org/articles/pmc3298427

zbMATH Keywords

eigenfunctionsB-splinessemiparametric efficiencyfunctional dataKarhunenLoève representationTecator data

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Nonparametric tolerance and confidence regions (62G15)

Related Items

Growth dynamics and heritability for plant high‐throughput phenotyping studies using hierarchical functional data analysis ⋮ Simultaneous confidence bands for derivatives of dependent functional data ⋮ Simultaneous inference for the mean of repeated functional data ⋮ Robust simultaneous inference for the mean function of functional data ⋮ Non parametric derivative estimation with confidence bands ⋮ A Smooth Simultaneous Confidence Corridor for the Mean of Sparse Functional Data ⋮ On mean derivative estimation of longitudinal and functional data: from sparse to dense ⋮ A simultaneous confidence corridor for varying coefficient regression with sparse functional data

Uses Software

• fda (R)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Functional linear regression analysis for longitudinal data
• Uniform convergence rates for nonparametric regression and principal component analysis in functional/longitudinal data
• Estimation of functional derivatives
• Asymptotic maximal deviation of M-smoothers
• The use of polynomial splines and their tensor products in multivariate function estimation. (With discussion)
• Functional data analysis
• Bootstrap confidence bands for regression curves and their derivatives
• Local asymptotics for polynomial spline regression
• Local asymptotics for regression splines and confidence regions
• Properties of principal component methods for functional and longitudinal data analysis
• Simultaneous inference for the mean function based on dense functional data
• Nonparametric Mixed Effects Models for Unequally Sampled Noisy Curves
• Simultaneous confidence bands for nonparametric regression with functional data
• Joint modelling of paired sparse functional data using principal components
• A simultaneous confidence band for sparse longitudinal regression
• Wavelet-based Functional Mixed Models
• Bias-corrected Confidence Bands in Nonparametric Regression
• An Analysis of Paediatric CD4 Counts for Acquired Immune Deficiency Syndrome Using Flexible Random Curves
• Nonparametric models for functional data, with application in regression, time series prediction and curve discrimination
• Estimating Derivatives for Samples of Sparsely Observed Functions, With Application to Online Auction Dynamics
• Penalized Spline Models for Functional Principal Component Analysis
• On Properties of Functional Principal Components Analysis
• Functional Data Analysis for Sparse Longitudinal Data
• A practical guide to splines.