Some hypothesis tests based on random projection

DOI10.1007/s00180-017-0732-4zbMath1417.62116OpenAlexW2613921942MaRDI QIDQ2403410

Sebastian Vallejo, Leonardo Moreno, Ricardo Fraiman

Publication date: 8 September 2017

Published in: Computational Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00180-017-0732-4

zbMATH Keywords

functional datarandom projectionscentral symmetryuniversal consistencyindependence tests

Mathematics Subject Classification ID

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

Related Items

Hotelling's \(T^2\) in separable Hilbert spaces, Bayesian random projection-based signal detection for Gaussian scale space random fields

Cites Work

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• Measuring and testing dependence by correlation of distances
• The distance correlation \(t\)-test of independence in high dimension
• Depth-based runs tests for bivariate central symmetry
• Goodness-of-fit tests for copulas
• Validity of the parametric bootstrap for goodness-of-fit testing in semiparametric models
• Multivariate symmetry via projection pursuit
• A modified Kolmogorov-Smirnov test sensitive to tail alternatives
• Random projections and goodness-of-fit tests in infinite-dimensional spaces
• Testing for central symmetry
• Asymptotic local efficiency of Cramér\,-\,von Mises tests for multivariate independence
• On depth measures and dual statistics. A methodology for dealing with general data
• Generalizations of James-Stein estimators under spherical symmetry
• Permutation tests for reflected symmetry
• On nonparametric tests for symmetry in \(R^ m\)
• Weak convergence of empirical copula processes
• Optimal tests for multivariate location based on interdirections and pseudo-Mahalanobis ranks.
• Testing multivariate symmetry
• Laws of large numbers for normed linear spaces and certain Frechet spaces
• A sharp form of the Cramér-Wold theorem
• What is Projection Pursuit?
• The multivariate skew-normal distribution
• On the Independence of k Sets of Normally Distributed Statistical Variables
• A Projection Pursuit Algorithm for Exploratory Data Analysis
• On the Theory of Rank Order Tests for Location in the Multivariate One Sample Problem