A Renewal Shot Noise Process with Subexponential Shot Marks

We investigate a shot noise process with subexponential shot marks occurring at renewal epochs. Our main result is a precise asymptotic formula for its tail probability. In doing so, some recent results regarding sums of randomly weighted subexponential random variables play a crucial role.

Bibliographic Details
Main Author: Yiqing Chen
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Risks
Subjects:
Online Access:https://www.mdpi.com/2227-9091/7/2/63