Testing the equality of several covariance functions for functional data: a supremum-norm based test

DOI10.1016/j.csda.2018.02.002zbMath1469.62073OpenAlexW2793006780MaRDI QIDQ1662852

Jia Guo, Bu Zhou, Jin-Ting Zhang

Publication date: 20 August 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.2018.02.002

zbMATH Keywords

nonparametric bootstrapfunctional dataequal covariance function testingsupremum-norm based test

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Asymptotic properties of nonparametric inference (62G20) Functional data analysis (62R10) Nonparametric statistical resampling methods (62G09) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (8)

Detecting relevant differences in the covariance operators of functional time series: a sup-norm approach ⋮ Two-Sample Tests for Relevant Differences in the Eigenfunctions of Covariance Operators ⋮ Pivotal tests for relevant differences in the second order dynamics of functional time series ⋮ Tests for equality of several covariance matrix functions for multivariate functional data ⋮ Inferential procedures for partially observed functional data ⋮ Simultaneous confidence band for stationary covariance function of dense functional data ⋮ New Tests for Equality of Several Covariance Functions for Functional Data ⋮ Functional delta residuals and applications to simultaneous confidence bands of moment based statistics

Uses Software

• fda (R)
• SemiPar
• foreach
• RcppArmadillo
• ECFsup

Cites Work

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• Semiparametric Regression
• Testing the Equality of Covariance Operators in Functional Samples
• Second-Order Comparison of Gaussian Random Functions and the Geometry of DNA Minicircles
• Bootstrap-based testing of equality of mean functions or equality of covariance operators for functional data
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