'Eric Marchand

activity

20082026

most citedOn the frequentist coverage of Bayesian credible intervals for lower bounded means

5 citations · 5 across the 6 of their papers we have counts for

collaborators

7 papers

math.ST2026

On the Bayesian analysis of a non-identifiable Binomial model

Éric Marchand

We provide analysis for the posterior distribution and expectation of $(p_{1}, p_{2})$ where $Y ∣ p_{1}, p_{2} \sim Binomial (n, p_{1} p_{2})$ and $(p_{1}, p_{2})$ is uniformly distributed on…

math.ST2024

Tree Pólya Splitting distributions for multivariate count data

Samuel Valiquette, Jean Peyhardi, Éric Marchand +2

In this article, we develop a new class of multivariate distributions adapted for count data, called Tree Pólya Splitting. This class results from the combination of a univariate d…

math.ST2018

On efficient prediction and predictive density estimation for spherically symmetric models

Dominique Fourdrinier, Éric Marchand, William E. Strawderman

Let $X, U, Y$ be spherically symmetric distributed having density $η^{d + k /2} f (η (∥ x - θ ∣^{2} + ∥ u ∥^{2} + ∥ y - c θ ∥^{2})),$ with unknown parameters $θ \in R^{d}$ a…

math.ST2018

On Predictive Density Estimation under $α$ -divergence Loss

Aziz L'Moudden, Éric Marchand

Based on $X \sim N_{d} (θ, σ_{X}^{2} I_{d})$ , we study the efficiency of predictive densities under $α -$ divergence loss $L_{α}$ for estimating the density of $Y \sim N_{d} (θ, σ_{Y}^{2} I_{d})$ . We id…

math.ST2018

Inference for a constrained parameter in presence of an uncertain constraint

Éric Marchand, Theodoros Nicoleris

We describe a hierarchical Bayesian approach for inference about a parameter $θ$ lower-bounded by $α$ with uncertain $α$ , derive some basic identities for posterior analysis about…

math.ST2017

On predictive density estimation with additional information

Éric Marchand, Abdolnasser Sadeghkhani

Based on independently distributed $X_{1} \sim N_{p} (θ_{1}, σ_{1}^{2} I_{p})$ and $X_{2} \sim N_{p} (θ_{2}, σ_{2}^{2} I_{p})$ , we consider the efficiency of various predictive density estimators for $Y_1 \…

On the Bayesian analysis of a non-identifiable Binomial model

Tree Pólya Splitting distributions for multivariate count data

On efficient prediction and predictive density estimation for spherically symmetric models

On Predictive Density Estimation under α-divergence Loss

Inference for a constrained parameter in presence of an uncertain constraint

On predictive density estimation with additional information

On Predictive Density Estimation under $α$ -divergence Loss