Optimal estimation of the local time and the occupation time measure for an α-stable Lévy process

A novel theoretical result on estimation of the local time and the occupation time measure of an α-stable Lévy process with $\alpha \in (1,2)$ is presented. The approach is based upon computing the conditional expectation of the desired quantities given high frequency data, which is an ${L^{2}}$-opt...

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Bibliographic Details
Main Authors: Chiara Amorino, Arturo Jaramillo, Mark Podolskij
Format: Article
Language:English
Published: VTeX 2024-02-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/24-VMSTA243