2 citations · 4 across the 12 of their papers we have counts for
5 papers · 1 filter
The Fourth-Moment Theorem on Hilbert Spaces
Marie-Christine Düker, Pavlos Zoubouloglou
In this work, we establish conditions ensuring convergence in distribution of a sequence admitting a Wiener-Itô chaos representation to a Gaussian measure on a separable Hilbert sp…
Scaling limits for sample autocovariance operators of Hilbert space-valued linear processes
Marie-Christine Düker, Pavlos Zoubouloglou
This article considers linear processes with values in a separable Hilbert space exhibiting long-range dependence. The scaling limits for the sample autocovariance operators at dif…
Breuer-Major Theorems for Hilbert Space-Valued Random Variables
Marie-Christine Düker, Pavlos Zoubouloglou
Let be a stationary Gaussian process with values in a separable Hilbert space , and let be a measurable map…
Limit theorems for multivariate long-range dependent processes
Marie-Christine Düker
This article considers multivariate linear processes whose components are either short- or long-range dependent. The functional central limit theorems for the sample mean and the s…
Limit theorems for Hilbert space-valued linear processes under long range dependence
Marie-Christine Düker
Let be a linear process with values in a separable Hilbert space given by for eac…