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math.ST2026
On the singularity of the Fisher Information matrix in the sine-skewed family on the d-dimensional torus
Emily Schutte, Sophia Loizidou, Vincent Laheurte
Skewed distributions are fundamental in modelling asymmetric data on the d-dimensional torus. In this context, asymmetry is introduced through the sine-skewing mechanism, which is…
math.ST2025
Construction of optimal tests for symmetry on the torus and their quantitative error bounds
Andreas Anastasiou, Christophe Ley, Sophia Loizidou
In this paper, we investigate the general problem of assessing symmetry in data points on the hyper-dimensional torus, a question that originally emerged in applications from bioin…