Stein's method compares probability distributions through the study of a class of linear
operators called Stein operators. While mainly studied in probability and used to underpin …

We provide a bound on a distance between finitely supported elements and general
elements of the unit sphere of ℓ 2 (N∗). We use this bound to estimate the Wasserstein-2 …

We present some recent developments for limit theorems in probability theory, illustrating the
variety of this field of activity. The recent results we discuss range from Stein's method, as …

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 be …

The gamma difference distribution is defined as the difference of two independent gamma
distributions, with in general different shape and rate parameters. Starting with knowledge of …

Initiated around the year 2007, the Malliavin–Stein approach to probabilistic approximations
combines Stein's method with infinite-dimensional integration by parts formulae based on …

By the continuous mapping theorem, if a sequence of d-dimensional random vectors
(W_n)_n≧1 converges in distribution to a multivariate normal random variable Σ^1/2Z, then …

On algebraic Stein operators for Gaussian polynomials Page 1 Bernoulli 29(1), 2023, 350–376
https://doi.org/10.3150/22-BEJ1460 On algebraic Stein operators for Gaussian polynomials …

We obtain a Stein characterisation of the distribution of the product of two correlated normal
random variables with non-zero means, and more generally the distribution of the sum of …

By the continuous mapping theorem, if a sequence of $ d $-dimensional random vectors
$(\mathbf {W} _n) _ {n\geq1} $ converges in distribution to a multivariate normal random …