On the infinite divisibility of distributions of some inverse subordinators

We consider the infinite divisibility of distributions of some well-known inverse subordinators. Using a tail probability bound, we establish that distributions of many of the inverse subordinators used in the literature are not infinitely divisible. We further show that the distribution of a renewa...

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Bibliographic Details
Main Authors: Arun Kumar, Erkan Nane
Format: Article
Language:English
Published: VTeX 2018-07-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/18-VMSTA108