16 citations · 64 across the 11 of their papers we have counts for
3 papers · 1 filter
The Strassen Invariance Principle for Certain Non-stationary Markov-Feller Chains
Dawid Czapla, Katarzyna Horbacz, Hanna Wojewódka-Ściążko
We propose certain conditions which are sufficient for the functional law of the iterated logarithm (the Strassen invariance principle) for some general class of non-stationary Mar…
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…
Exponential ergodicity of some Markov dynamical system with application to a Poisson driven stochastic differential equation
Dawid Czapla, Joanna Kubieniec
We are concerned with the asymptotics of the Markov chain given by the post-jump locations of a certain piecewise-deterministic Markov process with a state-dependent jump intensity…