Résumé
This note addresses a key limitation of the Folding Test of Unimodality (FTU). In specific univariate mixture settings, the folding-based criterion can systematically fail, misclassifying clearly multimodal distributions as unimodal. We fully characterize these failures for Dirac mixtures and extend the analysis to Gaussian mixtures. We then introduce a double-folding procedure that captures complementary information, leading to a new test, the Double Folding Test of Unimodality. It resolves the FTU failures and improves multimodality detection power in simulations.
Mots-clés
Dip test; Mixture distribution; Multimodality; Unimodality test;
Référence
Colombe Becquart, Aurore Archimbaud, Anne M. Ruiz et Zaineb Smida, « A Note on the Folding Test of Unimodality: limitation and improved alternative », arXiv, n° 2605.13326, mai 2026.
Voir aussi
Publié dans
arXiv, n° 2605.13326, mai 2026