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20152026
most citedAsymptotic properties of Dirichlet kernel density estimators

26 citations · 305 across the 66 of their papers we have counts for

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8 papers · 1 filter

stat.ME2025

Wishart kernel density estimation for strongly mixing time series on the cone of positive definite matrices

Léo R. Belzile, Christian Genest, Frédéric Ouimet +1

A Wishart kernel density estimator (KDE) is introduced for density estimation in the cone of positive definite matrices. The estimator is boundary-aware and mitigates the boundary…

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…

stat.ME2025

Omnibus goodness-of-fit tests for univariate continuous distributions based on trigonometric moments

Alain Desgagné, Frédéric Ouimet

We propose a new omnibus goodness-of-fit test based on trigonometric moments of probability-integral-transformed data. The test builds on the framework of the LK test introduced by…

math.ST2025

Bernstein-smoothed estimation and bootstrap inference for the lower-tail Spearman's rho curve

Frédéric Ouimet, Guanjie Lyu, Selim Orhun Susam

This paper studies a Bernstein-smoothed plug-in estimator for the lower-tail Spearman's rho curve, a rank-based measure of local concordance defined through a normalized copula int…

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.PR2025

Results related to the Gaussian product inequality conjecture for mixed-sign exponents in arbitrary dimension

Guolie Lan, Frédéric Ouimet, Wei Sun

This paper studies Gaussian product inequalities (GPIs) for centered Gaussian random vectors when positive and negative exponents appear simultaneously. We prove a quantitative low…

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.ST2025

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)…