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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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Showing 2025 · math.STShow all

5 papers · 2 filters

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

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.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)…