20 citations · 76 across the 14 of their papers we have counts for
14 papers
On existence and uniqueness of univariate Stein kernels
Christian Döbler
We completely characterize the class of univariate distributions allowing for a Stein kernel and illustrate our result by means of some concrete distributions. Moreover, we apply o…
Discrete probability spaces revisited
Christian Döbler
We give an elementary proof of the known fact that every probability measure, defined on an arbitrary -field on a countable sample space , may in fact be extended to a probab…
New bounds for normal approximation on product spaces with applications to monochromatic edges, random sums and an infinite de Jong CLT
Christian Döbler
We extend the Malliavin theory for -functionals on product probability spaces that has recently been developed by Decreusefond and Halconruy (2019) and by Duerinckx (2021), by…
Normal approximation via non-linear exchangeable pairs
Christian Döbler
We propose a new functional analytic approach to Stein's method of exchangeable pairs that does not require the pair at hand to satisfy any approximate linear regression property.…
Stein's method of exchangeable pairs in multivariate functional approximations
Christian Döbler, Mikołaj J. Kasprzak
In this paper we develop a framework for multivariate functional approximation by a suitable Gaussian process via an exchangeable pairs coupling that satisfies a suitable approxima…
Fourth moment theorems on the Poisson space: analytic statements via product formulae
Christian Döbler, Giovanni Peccati
We prove necessary and sufficient conditions for the asymptotic normality of multiple integrals with respect to a Poisson measure on a general measure space, expressed both in term…