English

Tests for circular symmetry of complex-valued random vectors

Statistics Theory 2021-03-22 v2 Statistics Theory

Abstract

We propose tests for the null hypothesis that the law of a complex-valued random vector is circularly symmetric. The test criteria are formulated as L2L^2-type criteria based on empirical characteristic functions, and they are convenient from the computational point of view. Asymptotic as well as Monte-Carlo results are presented. Applications on real data are also reported. An R package called CircSymTest is available from the authors.

Keywords

Cite

@article{arxiv.2009.09216,
  title  = {Tests for circular symmetry of complex-valued random vectors},
  author = {Norbert Henze and Pierre Lafaye de Micheaux and Simos G. Meintanis},
  journal= {arXiv preprint arXiv:2009.09216},
  year   = {2021}
}
R2 v1 2026-06-23T18:39:38.765Z