Jonny Imbierski

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20222025

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math.PR2025

Error Rates for Large Deviations in the domain of an $α = 1$ stable law

Jonny Imbierski, Dalia Terhesiu

We obtain error rates for large deviations of sums of i.i.d. random variables in, a particular case, of the domain of a non-symmetric infinite mean $α = 1$ -stable law. The focus of t…

math.PR2022

Stable large deviations for deterministic dynamical systems

Jonny Imbierski, Dalia Terhesiu

We obtain large deviations for a class of dependent random variables in the domain of attraction of an $α$ -stable law, $α \in (0, 1) \cup (1, 2]$ . This class includes ergodic sums of…

Error Rates for Large Deviations in the domain of an α=1 stable law

Stable large deviations for deterministic dynamical systems

Error Rates for Large Deviations in the domain of an $α = 1$ stable law