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Multivariate Normality Test with Copula Entropy

Methodology 2022-06-14 v1

Abstract

In this paper, we proposed a multivariate normality test based on copula entropy. The test statistic is defined as the difference between the copula entropies of unknown distribution and the Gaussian distribution with same covariances. The estimator of the test statistic is presented based on the nonparametric estimator of copula entropy. Two simulation experiments were conducted to compare the proposed test with the five existing ones. Experiment results show the advantage of our test over the others.

Keywords

Cite

@article{arxiv.2206.05956,
  title  = {Multivariate Normality Test with Copula Entropy},
  author = {Jian Ma},
  journal= {arXiv preprint arXiv:2206.05956},
  year   = {2022}
}

Comments

6 pages, 2 figures

R2 v1 2026-06-24T11:48:30.779Z