22 citations · 39 across the 11 of their papers we have counts for
19 papers
What can be the limit in the CLT for a field of martingale differences?
Davide Giraudo, Emmanuel Lesigne, Dalibor Volny
The now classical convergence in distribution theorem for well normalized sums ofstationary martingale increments has been extended to multi-indexed martingaleincrements (see Volný…
Some remarks on the ergodic theorem for -statistics
Herold G. Dehling, Davide Giraudo, Dalibor Volny
In this note, we investigate the convergence of a -statistic of order two having stationary ergodic data. We will find sufficient conditions for the almost sure and conver…
Stable CLT for deterministic systems
Zemer Kosloff, Dalibor Volny
We show that for every ergodic and aperiodic probability preserving transformation and there exists a function whose associated time series is in the standard domain o…
Local limit theorem in deterministic systems
Zemer Kosloff, Dalibor Volny
We show that for every ergodic and aperiodic probability preserving system, there exists a valued, square integrable function such that the partial sums process of…
On limit theorems for fields of martingale differences
Dalibor Volny
We prove a central limit theorem for stationary multiple (random) fields of martingale differences , , where $T_{\underline{i}}…
Quenched invariance principles for orthomartingale-like sequences
Magda Peligrad, Dalibor Volný
In this paper we study the central limit theorem and its functional form for random fields which are not started from their equilibrium, but rather under the measure conditioned by…