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Anytime-Valid Tests of Group Invariance through Conformal Prediction

Methodology 2024-05-24 v3 Statistics Theory Statistics Theory

Abstract

We develop anytime-valid tests of invariance under the action of compact groups. The resulting test statistics are optimal in a logarithmic-growth sense. We apply our method to extend recent anytime-valid tests of independence and to construct tests of normality.

Keywords

Cite

@article{arxiv.2401.15461,
  title  = {Anytime-Valid Tests of Group Invariance through Conformal Prediction},
  author = {Tyron Lardy and Muriel Felipe Pérez-Ortiz},
  journal= {arXiv preprint arXiv:2401.15461},
  year   = {2024}
}