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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 2020Show all

10 papers · 1 filter

math.ST2020★ 11 cited

A study of seven asymmetric kernels for the estimation of cumulative distribution functions

Pierre Lafaye de Micheaux, Frédéric Ouimet

In Mombeni et al. (2019), Birnbaum-Saunders and Weibull kernel estimators were introduced for the estimation of cumulative distribution functions (c.d.f.s) supported on the half-li…

math.ST2020★ 2 cited

An improvement of Tusnády's inequality in the bulk

Frédéric Ouimet

We prove a non-asymptotic generalization of the refined continuity correction developed in Cressie (1978) for the Binomial distribution, which we then use to improve the versions o…

math.ST2020★ 11 cited

On the Le Cam distance between Poisson and Gaussian experiments and the asymptotic properties of Szasz estimators

Frédéric Ouimet

In this paper, we prove a local limit theorem for the ratio of the Poisson distribution to the Gaussian distribution with the same mean and variance, using only elementary methods…

stat.ME2020

A comprehensive empirical power comparison of univariate goodness-of-fit tests for the Laplace distribution

Alain Desgagné, Pierre Lafaye de Micheaux, Frédéric Ouimet

In this paper we present the results from an empirical power comparison of 40 goodness-of-fit tests for the univariate Laplace distribution, carried out using Monte Carlo simulatio…

math.ST2020★ 9 cited

On the boundary properties of Bernstein estimators on the simplex

Frédéric Ouimet

In this paper, we study the asymptotic properties (bias, variance, mean squared error) of Bernstein estimators for cumulative distribution functions and density functions near and…

stat.OT2020★ 2 cited

Explicit formulas for the joint third and fourth central moments of the multinomial distribution

Frédéric Ouimet

We give the first explicit formulas for the joint third and fourth central moments of the multinomial distribution, by differentiating the moment generating function. A general for…