Generalized Coverage Processes with Infinitely Divisible Finite Dimensional Distributions

George Makatis; Michael A. Zazanis

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arXiv · 2603.15124

Generalized Coverage Processes with Infinitely Divisible Finite Dimensional Distributions

George Makatis·Michael A. Zazanis

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Abstract

In this paper we define a class of coverage processes with infinitely divisible finite dimensional distributions and a particular type of correlation structure that can be thought of as generalizations of the classical Ornstein--Uhlenbeck process and which include coverage processes such as the $M/GI/\infty$ process. We show how such processes arise naturally as limits of superpositions of independent ON/OFF Markov processes with different parameters by formulating an appropriate limit theorem. Various examples of processes of this type are given.

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George Makatis, Michael A. Zazanis. 2026-03-16. Generalized Coverage Processes with Infinitely Divisible Finite Dimensional Distributions. https://arxiv.org/abs/2603.15124

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