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Splitting‐characterizations of the Papangelou process
Author(s) -
Nehring Benjamin,
Rafler Mathias,
Zessin Hans
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201400384
Subject(s) - mathematics , type (biology) , point process , process (computing) , point (geometry) , pure mathematics , geometry , computer science , statistics , ecology , biology , operating system
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, Pólya and Gibbs processes.