2 citations · 3 across the 13 of their papers we have counts for
14 papers · 1 filter
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…
Stein's method for the matrix normal distribution
Robert E. Gaunt, Frédéric Ouimet, Frédéric Ouimet +1
This work presents the first systematic development of Stein's method for matrix distributions. We establish the basic essential ingredients of Stein's method for matrix normal app…
Minimax properties of gamma kernel density estimators under loss and -Hölder smoothness of the target
Frédéric Ouimet
This paper considers the asymptotic behavior in -Hölder spaces, and under loss, of the non-modified gamma kernel density estimator introduced by Chen [Ann. Inst. Statist…
Normal integral representation for the joint survival function of the cumulative sums of the components of multinomial random vectors
Frédéric Ouimet
This paper presents a multivariate normal integral representation for the joint survival function of the cumulative sums of the components of any multinomial random vector at inter…
Asymptotic properties of the multivariate Szász-Mirakyan estimator for cumulative distribution functions on the nonnegative orthant
Guanjie Lyu, Frédéric Ouimet, Cindy Feng
The asymptotic properties of multivariate Szász-Mirakyan estimators for cumulative distribution functions (cdf) supported on the nonnegative orthant are investigated. Explicit bia…
A Bernstein polynomial approach for the estimation of cumulative distribution functions in the presence of missing data
Rihab Gharbi, Wissem Jedidi, Salah Khardani +1
We study nonparametric estimation of univariate cumulative distribution functions (CDFs) pertaining to data missing at random. The proposed estimators smooth the inverse probabilit…