26 citations · 305 across the 66 of their papers we have counts for
7 papers · 2 filters
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…
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…
Counterexamples to the classical central limit theorem for triplewise independent random variables having a common arbitrary margin
Guillaume Boglioni Beaulieu, Pierre Lafaye de Micheaux, Frédéric Ouimet
We present a general methodology to construct triplewise independent sequences of random variables having a common but arbitrary marginal distribution (satisfying very mild con…
A refined continuity correction for the negative binomial distribution and asymptotics of the median
Frédéric Ouimet
In this paper, we prove a local limit theorem and a refined continuity correction for the negative binomial distribution. We present two applications of the results. First, we find…
A multivariate normal approximation for the Dirichlet density and some applications
Frédéric Ouimet
In this short note, we prove an asymptotic expansion for the ratio of the Dirichlet density to the multivariate normal density with the same mean and covariance matrix. The expansi…