26 citations · 305 across the 66 of their papers we have counts for
4 papers · 2 filters
Normal approximations for the multivariate inverse Gaussian distribution and asymmetric kernel smoothing on -dimensional half-spaces
Léo R. Belzile, Alain Desgagné, Christian Genest +1
This paper introduces a novel density estimator supported on -dimensional half-spaces. It stands out as the first asymmetric kernel density estimator for half-spaces in the lite…
Local normal approximations and probability metric bounds for the matrix-variate distribution and its application to Hotelling's statistic
Frédéric Ouimet
In this paper, we develop local expansions for the ratio of the centered matrix-variate density to the centered matrix-variate normal density with the same covariances. The app…
Refined normal approximations for the central and noncentral chi-square distributions and some applications
Frédéric Ouimet
In this paper, we prove a local limit theorem for the chi-square distribution with degrees of freedom and noncentrality parameter . We use it to develop refined no…
Refined normal approximations for the Student distribution
Frédéric Ouimet
In this paper, we develop a local limit theorem for the Student distribution. We use it to improve the normal approximation of the Student survival function given in Shafiei & Sabe…