Simultaneous confidence bands for derivatives of dependent functional data

DOI10.1214/14-EJS967zbMath1309.62074OpenAlexW2001289333MaRDI QIDQ485916

Guanqun Cao

Publication date: 14 January 2015

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ejs/1419258189

zbMATH Keywords

repeated measuresderivativesB-splineconfidence bandsemiparametric efficiencyfunctional data

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Nonparametric tolerance and confidence regions (62G15)

Related Items (6)

Local inference for functional linear mixed models ⋮ Functional data analysis in the Banach space of continuous functions ⋮ A Geometric Approach to Confidence Regions and Bands for Functional Parameters ⋮ Simultaneous confidence bands for functional data using the Gaussian kinematic formula ⋮ Functional delta residuals and applications to simultaneous confidence bands of moment based statistics ⋮ Local weighted composite quantile estimation and smoothing parameter selection for nonparametric derivative function

Uses Software

• fda (R)
• Human Mortality

Cites Work

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• Longitudinal data analysis using generalized linear models
• Spline confidence bands for functional derivatives
• Multivariate varying coefficient model for functional responses
• Multilevel functional principal component analysis
• Functional data analysis.
• Nonparametric functional data analysis. Theory and practice.
• Simultaneous inference for the mean function based on dense functional data
• Simultaneous confidence bands for nonparametric regression with functional data
• Adaptive Inference for the Mean of a Gaussian Process in Functional Data
• Modeling Repeated Functional Observations
• Estimating Derivatives for Samples of Sparsely Observed Functions, With Application to Online Auction Dynamics
• Functional Data Analysis for Sparse Longitudinal Data
• A practical guide to splines.

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