20 citations · 36 across the 4 of their papers we have counts for
7 papers · 1 filter
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…
Quantitative CLTs for symmetric -statistics using contractions
Christian Döbler, Giovanni Peccati
We consider sequences of symmetric -statistics, not necessarily Hoeffding-degenerate, both in a one- and multi-dimensional setting, and prove quantitative central limit theorems…
On rates of convergence and Berry-Esseen bounds for random sums of centered random variables with finite third moments
Christian Döbler
We show, how the classical Berry-Esseen theorem for normal approximation may be used to derive rates of convergence for random sums of centerd, real-valued random variables with re…
Stein's method of exchangeable pairs for absolutely continuous, univariate distributions with applications to the Polya urn model
Christian Döbler
We propose a way of finding a Stein type characterization of a given absolutely continuous distribution on which is motivated by a regression property satisfied by an exch…