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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2603.15124 |
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| _version_ | 1866910054588874752 |
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| author | Makatis, George Zazanis, Michael A. |
| author_facet | Makatis, George Zazanis, Michael A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15124 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Generalized Coverage Processes with Infinitely Divisible Finite Dimensional Distributions Makatis, George Zazanis, Michael A. Probability 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. |
| title | Generalized Coverage Processes with Infinitely Divisible Finite Dimensional Distributions |
| topic | Probability |
| url | https://arxiv.org/abs/2603.15124 |