A consistent goodness-of-fit test for huge dimensional and functional data

DOI10.1080/10485252.2018.1486402zbMath1409.62120OpenAlexW2808985537MaRDI QIDQ4559455

Daniel Gaigall, Marc Ditzhaus

Publication date: 3 December 2018

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

Full work available at URL: https://doi.org/10.1080/10485252.2018.1486402

zbMATH Keywords

consistencyincomplete dataconvergence in distributionseparable Hilbert spaceCramér-von Mises statisticfunctional datanull hypothesishuge dimensional data

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Hypothesis testing in multivariate analysis (62H15)

Related Items (3)

Cramér-von-Mises tests for the distribution of the excess over a confidence level ⋮ Testing marginal homogeneity in Hilbert spaces with applications to stock market returns ⋮ A review of goodness-of-fit tests for models involving functional data

Uses Software

• fda (R)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An introduction to recent advances in high/infinite dimensional statistics
• An updated review of goodness-of-fit tests for regression models
• A partial overview of the theory of statistics with functional data
• Dependent wild bootstrap for degenerate \(U\)- and \(V\)-statistics
• Inference for functional data with applications
• Mercer theorem for RKHS on noncompact sets
• A simple multiway ANOVA for functional data
• Partial linear modelling with multi-functional covariates
• Random projections and goodness-of-fit tests in infinite-dimensional spaces
• A note on Linnik's distribution
• On depth measures and dual statistics. A methodology for dealing with general data
• The random projection method in goodness of fit for functional data
• Asymptotic power properties of the Cramer-von Mises test under contiguous alternatives
• Large sample theory for U-statistics and tests of fit
• Applied functional data analysis. Methods and case studies
• Big and complex data analysis. Methodologies and applications
• Weak convergence and empirical processes. With applications to statistics
• Functional statistics and related fields. Selected papers based on the presentations at the 4th international workshop on functional and operational statistics, IWFOS, Corunna, Spain, June 15--17, 2017
• Functional data analysis.
• Nonparametric functional data analysis. Theory and practice.
• Sparse nonparametric model for regression with functional covariate
• On Interchanging Limits and Integrals
• Goodness-of-fit tests for functional data
• Permutation tests for equality of distributions in high-dimensional settings
• Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes
• Limit Theorems Associated with Variants of the Von Mises Statistic

This page was built for publication: A consistent goodness-of-fit test for huge dimensional and functional data