16 citations · 35 across the 3 of their papers we have counts for
3 papers
The e-property of asymptotically stable Markov-Feller operators
Ryszard Kukulski, Hanna Wojewódka-Ściążko
In this work, we prove that any asymptotically stable Markov-Feller operator possesses the e-property everywhere outside at most a meagre set. We also provide an example showing th…
A Useful Version of the Central Limit Theorem for a General Class of Markov Chains
Dawid Czapla, Katarzyna Horbacz, Hanna Wojewódka-Ściążko
In the paper we propose certain conditions, relatively easy to verify, which ensure the central limit theorem for some general class of Markov chains. To justify the usefulness of…
Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling
Dawid Czapla, Katarzyna Horbacz, Hanna Wojewódka-Ściążko
A piecewise-deterministic Markov process, specified by random jumps and switching semi-flows, as well as the associated Markov chain given by its post-jump locations, are investiga…