Splitting-characterizations of the Papangelou process
- For point processes we establish a link between integration-by-parts-and splitting-formulas which can also be considered as integration-by-parts-formulas of a new type. First we characterize finite Papangelou processes in terms of their splitting kernels. The main part then consists in extending these results to the case of infinitely extended Papangelou and, in particular, Polya and Gibbs processes. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
| Author details: | Benjamin Nehring, Mathias RaflerGND, Hans ZessinORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1002/mana.201400384 |
| ISSN: | 0025-584X |
| ISSN: | 1522-2616 |
| Title of parent work (English): | Mathematische Nachrichten |
| Publisher: | Wiley-VCH |
| Place of publishing: | Weinheim |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2016 |
| Publication year: | 2016 |
| Release date: | 2020/03/22 |
| Tag: | Gibbs processes; Papangelou processes; characterization of point processes; independent splittings |
| Volume: | 289 |
| Number of pages: | 12 |
| First page: | 85 |
| Last Page: | 96 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
