activity
20132022
most citedGeneralization of the Nualart-Peccati criterion

30 citations · 78 across the 7 of their papers we have counts for

collaborators

9 papers

stat.ME2022

Modelling and forecasting patient recruitment in clinical trials with patients' dropout

Vladimir Anisimov, Guillaume Mijoule, Armando Turchetta +1

This paper focuses on statistical modelling and prediction of patient recruitment in clinical trials accounting for patients dropout. The recruitment model is based on a Poisson-ga…

math.PR2019

Some new Stein operators for product distributions

Robert E. Gaunt, Guillaume Mijoule, Yvik Swan

We provide a general result for finding Stein operators for the product of two independent random variables whose Stein operators satisfy a certain assumption, extending a recent r…

math.PR2018★ 12 cited

Stein operators, kernels and discrepancies for multivariate continuous distributions

Guillaume Mijoule, Gesine Reinert, Yvik Swan

In this paper we present a general framework for Stein's method for multivariate continuous distributions. The approach gives a collection of Stein characterisations, among which w…

math.PR2018★ 7 cited

Regularity of solutions of the Stein equation and rates in the multivariate central limit theorem

Thomas Gallouët, Guillaume Mijoule, Yvik Swan

Consider the multivariate Stein equation , where is a standard -dimensional Gaussian random vector, and let be the solution give…

math.PR2016★ 24 cited

A new approach to the Stein-Tikhomirov method: with applications to the second Wiener chaos and Dickman convergence

Benjamin Arras, Guillaume Mijoule, Guillaume Poly +1

In this paper, we propose a general means of estimating the rate at which convergences in law occur. Our approach, which is an extension of the classical Stein-Tikhomirov method, r…

math.PR2016★ 4 cited

An algebra of Stein operators

Robert E. Gaunt, Guillaume Mijoule, Yvik Swan

We build upon recent advances on the distributional aspect of Stein's method to propose a novel and flexible technique for computing Stein operators for random variables that can b…

math.PR2016

On the rate of convergence in de Finetti's representation theorem

Guillaume Mijoule, Giovanni Peccati, Yvik Swan

A consequence of de Finetti's representation theorem is that for every infinite sequence of exchangeable 0-1 random variables , there exists a probability measure $…

math.ST2014★ 1 cited

Non-uniform spline recovery from small degree polynomial approximation

Yohann De Castro, Guillaume Mijoule

We investigate the sparse spikes deconvolution problem onto spaces of algebraic polynomials. Our framework encompasses the measure reconstruction problem from a combination of nois…

math.PR2013★ 30 cited

Generalization of the Nualart-Peccati criterion

Ehsan Azmoodeh, Dominique Malicet, Guillaume Mijoule +1

The celebrated Nualart-Peccati criterion [Ann. Probab. 33 (2005) 177-193] ensures the convergence in distribution toward a standard Gaussian random variable of a given sequence…