A Geometric Approach to Confidence Regions and Bands for Functional Parameters
From MaRDI portal
Publication:4603811
DOI10.1111/rssb.12239zbMath1381.62143arXiv1607.07771OpenAlexW2963942080MaRDI QIDQ4603811
Matthew Reimherr, Hyunphil Choi
Publication date: 19 February 2018
Published in: Journal of the Royal Statistical Society Series B: Statistical Methodology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.07771
principal component analysishypothesis testingconfidence regionsfunctional data analysisconfidence bands
Factor analysis and principal components; correspondence analysis (62H25) Nonparametric tolerance and confidence regions (62G15)
Related Items (11)
A functional-data approach to the Argo data ⋮ Improving Estimation in Functional Linear Regression With Points of Impact: Insights Into Google AdWords ⋮ Statistical Inference for Functional Time Series ⋮ Statistical Inference for Functional Time Series: Autocovariance Function ⋮ Functional data analysis in the Banach space of continuous functions ⋮ Bootstrapping max statistics in high dimensions: near-parametric rates under weak variance decay and application to functional and multinomial data ⋮ Local Inference for Functional Data Controlling the Functional False Discovery Rate ⋮ A one-way ANOVA test for functional data with graphical interpretation ⋮ fregion ⋮ Conformal prediction bands for multivariate functional data ⋮ Estimating the conditional distribution in functional regression problems
Uses Software
Cites Work
- Unnamed Item
- From sparse to dense functional data and beyond
- Inference for functional data with applications
- Simultaneous confidence bands for derivatives of dependent functional data
- Deciding the dimension of effective dimension reduction space for functional and high-dimension\-al data
- Optimal estimation of the mean function based on discretely sampled functional data: phase transition
- CLT in functional linear regression models
- Functional regression with repeated eigenvalues
- Asymptotic normality of the principal components of functional time series
- A functional data analysis approach for genetic association studies
- Simultaneous inference for the mean function based on dense functional data
- Simultaneous confidence bands for nonparametric regression with functional data
- Kernel Regression Estimation Using Repeated Measurements Data
- Corrected Confidence Bands for Functional Data Using Principal Components
- A Smooth Simultaneous Confidence Corridor for the Mean of Sparse Functional Data
- Computing the distribution of quadratic forms in normal variables
- Functional Data Analysis for Sparse Longitudinal Data
This page was built for publication: A Geometric Approach to Confidence Regions and Bands for Functional Parameters
