English

Testing multivariate normality by testing independence

Methodology 2023-12-27 v2 Machine Learning

Abstract

We propose a simple multivariate normality test based on Kac-Bernstein's characterization, which can be conducted by utilising existing statistical independence tests for sums and differences of data samples. We also perform its empirical investigation, which reveals that for high-dimensional data, the proposed approach may be more efficient than the alternative ones. The accompanying code repository is provided at \url{https://shorturl.at/rtuy5}.

Keywords

Cite

@article{arxiv.2311.11575,
  title  = {Testing multivariate normality by testing independence},
  author = {Povilas Daniušis},
  journal= {arXiv preprint arXiv:2311.11575},
  year   = {2023}
}

Comments

6 pages, 1 figure

R2 v1 2026-06-28T13:25:45.913Z