26 citations · 305 across the 66 of their papers we have counts for
10 papers · 1 filter
A combinatorial proof of the Gaussian product inequality beyond the MTP case
Christian Genest, Frédéric Ouimet
A combinatorial proof of the Gaussian product inequality (GPI) is given under the assumption that each component of a centered Gaussian random vector $\boldsymbol{X} = (X_1, \ldots…
Minimax properties of Dirichlet kernel density estimators
Karine Bertin, Christian Genest, Nicolas Klutchnikoff +1
This paper considers the asymptotic behavior in -Hölder spaces, and under losses, of a Dirichlet kernel density estimator proposed by Aitchison and Lauder (1985) for the a…
Bounding Means of Discrete Distributions
Eric Bax, Frédéric Ouimet
We introduce methods to bound the mean of a discrete distribution (or finite population) based on sample data, for random variables with a known set of possible values. In particul…
On the Le Cam distance between multivariate hypergeometric and multivariate normal experiments
Frédéric Ouimet
In this short note, we develop a local approximation for the log-ratio of the multivariate hypergeometric probability mass function over the corresponding multinomial probability m…
Logarithmic complete monotonicity of a matrix-parametrized analogue of the multinomial distribution
Frédéric Ouimet, Feng Qi
In the paper, the authors introduce a matrix-parametrized generalization of the multinomial probability mass function that involves a ratio of several multivariate gamma functions.…
A symmetric matrix-variate normal local approximation for the Wishart distribution and some applications
Frédéric Ouimet
The noncentral Wishart distribution has become more mainstream in statistics as the prevalence of applications involving sample covariances with underlying multivariate Gaussian po…