Frédéric Ouimet

activity

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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17 papers · 1 filter

math.NT2026

Poisson-Dirichlet statistics for the log-modulus of the Riemann zeta function on expanding intervals near the critical line

Frédéric Ouimet

For $T > 0$ large, let $τ$ be uniformly distributed on $[T, 2 T]$ and let $σ = σ (T)$ be a deterministic real part approaching $1/2$ from the right. For the Riemann zeta function $ζ$ ,…

math.PR2026

Overlap distributions under the Gibbs measure of a Haar model of $lo g ∣ ζ ∣$ on and near the critical line

Frédéric Ouimet

We study the Gibbs measure of $H (h) = ℜ \sum_{p^{j} \leq X} U_{p}^{j} / (j p^{j (σ + ih)})$ , a random field modeling large values of the log-modulus of the Riemann zeta function on an…

math.ST2026

Spectral Analysis of Gaussian Integral Operators Arising in BHEP Tests

Bruno Ebner, Dominic Edelmann, Norbert Henze +2

The Baringhaus-Henze-Epps-Pulley (BHEP) tests for multivariate normality are affine-invariant goodness-of-fit tests based on a Gaussian-weighted $L^{2}$ distance between empirical an…

math.CA2026

Strict Total Positivity of a Gauss Hypergeometric Kernel, and the Sharp Threshold for the One-Dimensional $S L (2, R)$ Conformal Block

Frédéric Ouimet, Donald Richards

In this paper, we completely resolve the two total positivity problems raised by Li [J. High Energy Phys., 2023(7):Paper No. 167, 44 pp., 2023], thereby determining the precise sco…

math.PR2026

A proof of the strong Gaussian product inequality conjecture

Frédéric Ouimet, Dylan Greaves

Let $X = (X_{1}, \dots, X_{n})$ be a centered Gaussian vector, not necessarily nondegenerate. It is proved that, for every $α_{1}, \dots, α_{n} > 0$ , \[ \mathsf{E}\left[\prod_{i…

math.PR2026

Bounds for the median of the generalized hyperbolic and related distributions

Robert E. Gaunt, Frédéric Ouimet

We prove monotonicity properties for medians of gamma sums and differences of the form $Z_{α} = α X_{1} + (2 - α) X_{2}$ , where $X_{1}$ and $X_{2}$ are independent gamma random variables with…

math.PR2026

On a conjecture of Lamkin and Tkocz: Log-convexity of moments of Bernoulli sample means

Frédéric Ouimet

Let $X_{1}, X_{2}, \dots$ be independent $Bernoulli (θ)$ random variables, and let $X ˉ_{n} = n^{- 1} (X_{1} + \dots + X_{n})$ . We prove that, for every real $p \geq 1$ , the sequenc…

math.PR2026

Log-convexity and log-concavity of noncentral gamma sums and differences

Robert E. Gaunt, Frédéric Ouimet

We study log-convexity and log-concavity of densities obtained from sums and differences of two independent noncentral gamma random variables. We give a complete classification of…

math.PR2026

On Wilks' problem: Exact recursive formulas via Stein's method for the joint moments of disjoint principal minors of Wishart random matrices

Robert E. Gaunt, Frédéric Ouimet

In a 1934 Annals of Mathematics paper, Samuel S. Wilks posed the problem of computing joint moments of disjoint principal minors of Wishart random matrices, describing the general…

math.PR2026

Stein's method for the symmetric matrix normal distribution with an application to the approximation of the Wishart law

Robert E. Gaunt, Frédéric Ouimet

In this paper, we extend Stein's method to the symmetric matrix normal distribution. In particular, we obtain a Stein characterization of the symmetric matrix normal distribution i…

math.PR2026

Stein's method for the Wishart distribution

Gabriel Bailly, Robert E. Gaunt, Frédéric Ouimet +2

In this work, we develop Stein's method for the Wishart distribution on the cone of positive definite matrices. We establish the basic ingredients of a Wishart Stein framework: we…

stat.ME2026★ 1 cited

Tweedie-based nonparametric estimation for semicontinuous mixed densities

Guanjie Lyu, Frédéric Ouimet, Cindy Feng

Semicontinuous outcomes occur frequently in health services, insurance, and cost studies. Standard nonparametric density estimators are not well suited to such data because they do…

math.ST2026

A two-sample test for symmetric positive definite matrix distributions using Wishart kernel density estimators

Frédéric Ouimet

We develop a nonparametric two-sample test for distributions supported on the cone of symmetric positive definite matrices. The procedure relies on the Wishart kernel density estim…

stat.ME2026

Dirichlet kernel density estimation on the simplex with missing data

Sami Baraket, Hanen Daayeb, Salah Khardani +2

Nonparametric density estimation for compositional data supported on the simplex is examined under a missing at random mechanism. Rather than imputing missing values and estimating…

math.ST2026

Minimax properties of gamma kernel density estimators under $L^{p}$ loss and $β$ -Hölder smoothness of the target

Frédéric Ouimet

This paper considers the asymptotic behavior in $β$ -Hölder spaces, and under $L^{p}$ loss, of the non-modified gamma kernel density estimator introduced by Chen (Annals of the Instit…

math.ST2026

Asymptotic properties of the multivariate Szász-Mirakyan estimator for cumulative distribution functions on the nonnegative orthant

Guanjie Lyu, Frédéric Ouimet, Cindy Feng

The asymptotic properties of multivariate Szász-Mirakyan estimators for cumulative distribution functions (cdf) supported on the nonnegative orthant are investigated. Explicit bias…

math.ST2026

Stein's method for the matrix normal distribution

Robert E. Gaunt, Frédéric Ouimet, Donald Richards

This work presents the first systematic development of Stein's method for matrix distributions. We establish the basic essential ingredients of Stein's method for matrix normal app…

Poisson-Dirichlet statistics for the log-modulus of the Riemann zeta function on expanding intervals near the critical line

Overlap distributions under the Gibbs measure of a Haar model of log∣ζ∣ on and near the critical line

Spectral Analysis of Gaussian Integral Operators Arising in BHEP Tests

Strict Total Positivity of a Gauss Hypergeometric Kernel, and the Sharp Threshold for the One-Dimensional SL(2,R) Conformal Block

A proof of the strong Gaussian product inequality conjecture

Bounds for the median of the generalized hyperbolic and related distributions

On a conjecture of Lamkin and Tkocz: Log-convexity of moments of Bernoulli sample means

Log-convexity and log-concavity of noncentral gamma sums and differences

On Wilks' problem: Exact recursive formulas via Stein's method for the joint moments of disjoint principal minors of Wishart random matrices

Stein's method for the symmetric matrix normal distribution with an application to the approximation of the Wishart law

Stein's method for the Wishart distribution

Tweedie-based nonparametric estimation for semicontinuous mixed densities

A two-sample test for symmetric positive definite matrix distributions using Wishart kernel density estimators

Dirichlet kernel density estimation on the simplex with missing data

Minimax properties of gamma kernel density estimators under Lp loss and β-Hölder smoothness of the target

Asymptotic properties of the multivariate Szász-Mirakyan estimator for cumulative distribution functions on the nonnegative orthant

Stein's method for the matrix normal distribution

Overlap distributions under the Gibbs measure of a Haar model of $lo g ∣ ζ ∣$ on and near the critical line

Strict Total Positivity of a Gauss Hypergeometric Kernel, and the Sharp Threshold for the One-Dimensional $S L (2, R)$ Conformal Block

Minimax properties of gamma kernel density estimators under $L^{p}$ loss and $β$ -Hölder smoothness of the target