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math.PR2022
Vector-valued statistics of binomial processes: Berry-Esseen bounds in the convex distance
Mikołaj J. Kasprzak, Giovanni Peccati
We study the discrepancy between the distribution of a vector-valued functional of i.i.d. random elements and that of a Gaussian vector. Our main contribution is an explicit bound…
math.PR2020
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…