3 papers
math.ST2026
Möbius-Invariant Goodness-of-Fit Tests for the Spherical Cauchy Model
Diego Bolón, Davy Paindaveine
We introduce a class of goodness-of-fit tests for the spherical Cauchy model on the unit hypersphere. The proposed procedures exploit the invariance of the spherical Cauchy family…
stat.ME2024
A likelihood ratio test for circular multimodality
Diego Bolón, Rosa M. Crujeiras, Alberto Rodríguez-Casal
The modes of a statistical population are high frequency points around which most of the probability mass is accumulated. For the particular case of circular densities, we address…
math.ST2024
Granulometric Smoothing on Manifolds
Diego Bolón, Rosa M. Crujeiras, Alberto Rodríguez-Casal
Given a random sample from a density function supported on a manifold , a new method for the estimating highest density regions of the underlying population is introduced. The n…