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The Law of the Iterated Logarithm for Random Dynamical System with Jumps and State-Dependent Jump Intensity

Kubieniec Joanna

Annales Mathematicae Silesianae · 2021

doi:10.2478/amsil-2021-0011 (opens in a new tab)

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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.

Abstract licence: CC BY

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