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Mixing Properties of Multivariate Infinitely Divisible Random Fields
Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review
DOI
- https://doi.org/10.1007/s10959-018-0864-7
Forlagets udgivne version
- Riccardo Passeggeri, Imperial College London ,
- Almut E.D. Veraart
In this work we present different results concerning mixing properties of multivariate infinitely divisible (ID) stationary random fields. First, we derive some necessary and sufficient conditions for mixing of stationary ID multivariate random fields in terms of their spectral representation. Second, we prove that (linear combinations of independent) mixed moving average fields are mixing. Further, using a simple modification of the proofs of our results, we are able to obtain weak mixing versions of our results. Finally, we prove the equivalence of ergodicity and weak mixing for multivariate ID stationary random fields.
| Originalsprog | Engelsk |
|---|---|
| Tidsskrift | Journal of Theoretical Probability |
| Vol/bind | 32 |
| Nummer | 4 |
| Sider (fra-til) | 1845-1879 |
| Antal sider | 35 |
| ISSN | 0894-9840 |
| DOI | |
| Status | Udgivet - 1 dec. 2019 |
| Eksternt udgivet | Ja |
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