A functional limit theorem for random processes with immigration in the case of heavy tails

Let $(X_{k},\xi _{k})_{k\in \mathbb{N}}$ be a sequence of independent copies of a pair $(X,\xi )$ where X is a random process with paths in the Skorokhod space $D[0,\infty )$ and ξ is a positive random variable. The random process with immigration $(Y(u))_{u\in \mathbb{R}}$ is defined as the a.s. fi...

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Bibliographic Details
Main Authors: Alexander Marynych, Glib Verovkin
Format: Article
Language:English
Published: VTeX 2017-04-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/17-VMSTA76