On the Self-Similarity of Remainder Processes and the Relationship Between Stable and Dickman Distributions

A common approach to simulating a Lévy process is to truncate its shot-noise representation. We focus on subordinators and introduce the remainder process, which represents the jumps that are removed by the truncation. We characterize when these processes are self-similar and show that, in the self-...

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Bibliographic Details
Main Author: Michael Grabchak
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/6/907
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