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Palm Distributions for Log Gaussian Cox Processes
Author(s) -
Coeurjolly JeanFrançois,
Møller Jesper,
Waagepetersen Rasmus
Publication year - 2017
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/sjos.12248
Subject(s) - cox process , gaussian process , gaussian , mathematics , gaussian function , function (biology) , process (computing) , statistics , statistical physics , computer science , physics , biology , poisson process , quantum mechanics , evolutionary biology , poisson distribution , operating system
This paper establishes a remarkable result regarding Palm distributions for a log Gaussian Cox process: the reduced Palm distribution for a log Gaussian Cox process is itself a log Gaussian Cox process that only differs from the original log Gaussian Cox process in the intensity function. This new result is used to study functional summaries for log Gaussian Cox processes.