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Asymptotic linear dependence and ellipse statistics for multivariate two-sample homogeneity test

Year: 2026

Type: article

Abstract: Statistical depth, which measures the center-outward rank of a given sample with respect to its underlying distribution, has become a popular and powerful tool in nonparametric inference. In this paper, we investigate the use of statistical depth in multivariate two-sample problems. We propose a new depth-based nonparametric two-sample test, which has the Chi-square(1) asymptotic distribution under the null hypothesis. Simulations and real-data applications highlight the efficacy and practical value of the proposed test.

Source: Communication in Statistics- Theory and Methods

DOI: 10.1080/03610926.2026.2743000

Authors: Chifeng Shen, Yuejiao Fu, Shengyuan Chen, Xiaoping Shi

Institutions: York University, University of York, University of British Columbia

Language: English

Topic: Advanced Statistical Methods and Models

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7106777128

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