A large deviation principle for the normalized excursion of an α-stable Lévy process without negative jumps

We establish a large deviation principle for the normalized excursion and bridge of an α-stable Lévy process without negative jumps, with 1 < α < 2. Based on this, we derive precise asymptotics for the tail distributions of functionals of the normalized excursion and bridge, in particu...

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Bibliographic Details
Main Authors: Dort, L, Goldschmidt, C, Miermont, G
Format: Internet publication
Language:English
Published: 2023