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19972026
most citedImbibition in Disordered Media

290 citations

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6 papers · 1 filter

math.ST2026

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 bias…

math.ST2025★ 2 cited

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…

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…

math.ST2025

On noncentral Wishart mixtures of noncentral Wisharts and their use for testing random effects in factorial design models

Christian Genest, Anne MacKay, Frédéric Ouimet

It is shown that a noncentral Wishart mixture of noncentral Wishart distributions with the same degrees of freedom yields a noncentral Wishart distribution, thereby extending the m…

math.ST2022★ 1 cited

Normal approximations for the multivariate inverse Gaussian distribution and asymmetric kernel smoothing on -dimensional half-spaces

Léo R. Belzile, Alain Desgagné, Christian Genest +1

This paper introduces a novel density estimator supported on -dimensional half-spaces. It stands out as the first asymmetric kernel density estimator for half-spaces in the lite…

math.ST2007★ 98 cited

Asymptotic local efficiency of Cramér--von Mises tests for multivariate independence

Christian Genest, Jean-François Quessy, Bruno Rémillard

Deheuvels [J. Multivariate Anal. 11 (1981) 102--113] and Genest and Rémillard [Test 13 (2004) 335--369] have shown that powerful rank tests of multivariate independence can be base…