Interpoint distance based two sample tests in high dimension

DOI10.3150/20-BEJ1270zbMath1469.62280arXiv1902.07279OpenAlexW3156500480MaRDI QIDQ2040058

Changbo Zhu, Xiao-Feng Shao

Publication date: 9 July 2021

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07279

zbMATH Keywords

high dimensionalitypermutation testpower analysistwo sample testearthquake data

Mathematics Subject Classification ID

Hypothesis testing in multivariate analysis (62H15) Central limit and other weak theorems (60F05) Applications of statistics in engineering and industry; control charts (62P30) Seismology (including tsunami modeling), earthquakes (86A15) Applications of statistics to physics (62P35)

Related Items (3)

Measuring and testing homogeneity of distributions by characteristic distance ⋮ Asymptotic normality of Gini correlation in high dimension with applications to the \(K\)-sample problem ⋮ Manifold energy two-sample test

Cites Work

• Unnamed Item
• A nonparametric two-sample test applicable to high dimensional data
• Similarity of samples and trimming
• A nonparametric test for similarity of marginals -- with applications to the assessment of population bioequivalence
• A multivariate two-sample test based on the number of nearest neighbor type coincidences
• Multivariate generalizations of the Wald-Wolfowitz and Smirnov two-sample tests
• Rates of convergence in the martingale central limit theorem
• Sums of functions of nearest neighbor distances, moment bounds, limit theorems and a goodness of fit test
• Distance-based and RKHS-based dependence metrics in high dimension
• On some graph-based two-sample tests for high dimension, low sample size data
• Normal approximation to the hypergeometric distribution in nonstandard cases and a sub-Gaussian Berry-Esseen theorem
• Trimmed Comparison of Distributions
• Multivariate Two-Sample Tests Based on Nearest Neighbors
• Nonparametric Validation of Similar Distributions and Assessment of Goodness of Fit
• Asymptotic normality of interpoint distances for high-dimensional data with applications to the two-sample problem
• A survey of high dimension low sample size asymptotics
• Geometric Representation of High Dimension, Low Sample Size Data
• Testing Statistical Hypotheses
• A Distribution Free Version of the Smirnov Two Sample Test in the $p$-Variate Case
• Table for Estimating the Goodness of Fit of Empirical Distributions
• Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes

This page was built for publication: Interpoint distance based two sample tests in high dimension