{"ID":2890867,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2507.18307","arxiv_id":"2507.18307","title":"ROC curves for LDA classifiers","abstract":"In the paper, we derive an analytic formula for the ROC curves of the LDA classifiers. We establish elementary properties of these curves (monotonicity and concavity), provide formula for the area under curve (AUC) and compute the Youden J-index. Finally, we illustrate the performance of our results on a real--life dataset of Wisconsin breast cancer patients.","short_abstract":"In the paper, we derive an analytic formula for the ROC curves of the LDA classifiers. We establish elementary properties of these curves (monotonicity and concavity), provide formula for the area under curve (AUC) and compute the Youden J-index. Finally, we illustrate the performance of our results on a real--life dat...","url_abs":"https://arxiv.org/abs/2507.18307","url_pdf":"https://arxiv.org/pdf/2507.18307v2","authors":"[\"Mateusz Krukowski\"]","published":"2025-07-24T11:25:57Z","proceeding":"math.ST","tasks":"[\"math.ST\"]","methods":"[]","has_code":false}