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math.ST2026
On the Dirichlet-kernel Gasser--Müller estimator and its competitors for fixed design regression on the simplex
Hanen Daayeb, Christian Genest, Salah Khardani +2
A Dirichlet-kernel Gasser-Müller (D-GM) estimator is introduced for fixed design regression on the simplex, extending the univariate analog due to Chen [Statist. Sinica, vol. 10(1…
math.ST2025
Dirichlet kernel density estimation for strongly mixing sequences on the simplex
Hanen Daayeb, Salah Khardani, Frédéric Ouimet
This paper investigates the theoretical properties of Dirichlet kernel density estimators for compositional data supported on simplices, for the first time addressing scenarios inv…