A review of goodness-of-fit tests for models involving functional data

DOI10.1007/978-3-031-04137-2_29zbMath1497.62373arXiv2105.13080OpenAlexW3164109024MaRDI QIDQ2087099

Eduardo García-Portugués, Rosa M. Crujeiras, Wenceslao González Manteiga

Publication date: 26 October 2022

Full work available at URL: https://arxiv.org/abs/2105.13080

Mathematics Subject Classification ID

Functional data analysis (62R10) Research exposition (monographs, survey articles) pertaining to statistics (62-02)

Uses Software

• fda (R)
• KernSmooth
• rp.flm.test

Cites Work

• Unnamed Item
• Measuring and testing dependence by correlation of distances
• Equivalence of distance-based and RKHS-based statistics in hypothesis testing
• Projection pursuit based tests of normality with functional data
• Restricted likelihood ratio tests for linearity in scalar-on-function regression
• An updated review of goodness-of-fit tests for regression models
• Distance covariance in metric spaces
• Inference for functional data with applications
• Structural test in regression on functional variables
• Two-sample tests for multivariate functional data with applications
• Random projections and goodness-of-fit tests in infinite-dimensional spaces
• The random projection method in goodness of fit for functional data
• Comparing nonparametric versus parametric regression fits
• Nonparametric model checks for regression
• Goodness-of-fit tests for the functional linear model based on randomly projected empirical processes
• Asymptotics, finite-sample comparisons and applications for two-sample tests with functional data
• Testing independence and goodness-of-fit jointly for functional linear models
• Testing for lack-of-fit in functional regression models against general alternatives
• Testing for the significance of functional covariates
• On some global measures of the deviations of density function estimates
• Model checks for functional linear regression models based on projected empirical processes
• A comparison of testing methods in scalar-on-function regression
• A one-sample test for normality with kernel methods
• A test of significance in functional quadratic regression
• Functional data analysis.
• Nonparametric functional data analysis. Theory and practice.
• Weak convergence of the sample distribution function when parameters are estimated
• Remarks on Some Nonparametric Estimates of a Density Function
• Goodness-of-fit Tests for Functional Linear Models Based on Integrated Projections
• Goodness-of-fit tests for functional data
• A consistent goodness-of-fit test for huge dimensional and functional data
• A goodness‐of‐fit test for the functional linear model with functional response
• Testing conditional mean independence for functional data
• On Estimation of a Probability Density Function and Mode

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