26 citations · 305 across the 66 of their papers we have counts for
6 papers · 2 filters
A bridge between the circular and linear normal distributions
Frédéric Ouimet
In this short note, we present a refined approximation for the log-ratio of the density of the von Mises distribution (also called the circular normal distribution) to the s…
On the Gaussian product inequality conjecture for disjoint principal minors of Wishart random matrices
Christian Genest, Frédéric Ouimet, Donald Richards
This paper extends various results related to the Gaussian product inequality (GPI) conjecture to the setting of disjoint principal minors of Wishart random matrices. This includes…
Asymptotic comparison of negative multinomial and multivariate normal experiments
Christian Genest, Frédéric Ouimet
This note presents a refined local approximation for the logarithm of the ratio between the negative multinomial probability mass function and a multivariate normal density, both h…
Non-asymptotic approximations for Pearson's chi-square statistic and its application to confidence intervals for strictly convex functions of the probability weights of discrete distributions
Eric Bax, Frédéric Ouimet
In this paper, we develop a non-asymptotic local normal approximation for multinomial probabilities. First, we use it to find non-asymptotic total variation bounds between the meas…
Deficiency bounds for the multivariate inverse hypergeometric distribution
Frédéric Ouimet
The multivariate inverse hypergeometric (MIH) distribution is an extension of the negative multinomial (NM) model that accounts for sampling without replacement in a finite populat…
A new adaptive local polynomial density estimation procedure on complicated domains
Karine Bertin, Nicolas Klutchnikoff, Frédéric Ouimet
This paper presents a novel approach for pointwise estimation of multivariate density functions on known domains of arbitrary dimensions using nonparametric local polynomial estima…