The law of the iterated logarithm for random dynamical system with jumps and state-dependent jump intensity

Joanna Kubieniec
https://orcid.org/0000-0003-0992-3306


Abstract

In this paper our considerations are focused on some Markov chain associated with certain piecewise-deterministic Markov process with a statedependent jump intensity for which the exponential ergodicity was obtained in [4]. Using the results from [3] we show that the law of iterated logarithm holds for such a model.


Keywords

Markov operator; Markov chain; law of the iterated logarithm

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Published : 2021-08-30


KubieniecJ. (2021). The law of the iterated logarithm for random dynamical system with jumps and state-dependent jump intensity. Annales Mathematicae Silesianae, 35(2), 236-249. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13449

Joanna Kubieniec  joanna.kubieniec@us.edu.pl
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland
https://orcid.org/0000-0003-0992-3306



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