22 citations · 33 across the 10 of their papers we have counts for
10 papers · 1 filter
On convergence to non normal laws for ergodic random fields
Dalibor Voln{ý}
For Z d actions equipped with a completely commuting filtration, normalized partial sums of martingale differences converge in distribution (see [V19]) but even if the action is er…
On the central limit theorem for stationary random fields under L 1 -projective condition
Han-Mai Lin, Florence Merlevède, Dalibor Voln{ý}
The first aim of this paper is to wonder to what extent we can generalize the central limit theorem of Gordin [5] under the so-called L 1-projective criteria to ergodic stationary…
Stable limits for Markov chains via the Principle of Conditioning
Mohamed El Machkouri, Adam Jakubowski, Dalibor Volný
We study limit theorems for partial sums of instantaneous functions of a homogeneous Markov chain on a general state space. The summands are heavy-tailed and the limits are stable…
Limit theorems for weighted Bernoulli random fields under Hannan's condition
Jana Klicnarová, Dalibor Volný, Yizao Wang
Consider a Bernoulli random field satisfying the Hannan's condition. Recently, invariance principles for partial sums of random fields over rectangular index sets are established.…
An invariance principle for stationary random fields under Hannan's condition
Dalibor Volný, Yizao Wang
We establish an invariance principle for a general class of stationary random fields indexed by , under Hannan's condition generalized to . To do so we fi…
A counter example to central limit theorem in Hilbert spaces under a strong mixing condition
Davide Giraudo, Dalibor Volný
We show that in a separable infinite dimensional Hilbert space, uniform integrability of the square of the norm of normalized partial sums of a strictly stationary sequence, togeth…