Properties of Spatial Cox Process Models | Zendy

Jesper Møller | Zendy

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Properties of Spatial Cox Process Models

Author(s) -

Jesper Møller

Publication year - 2005

Publication title -

journal of statistical research of iran

Language(s) - English

Resource type - Journals

ISSN - 1735-1294

DOI - 10.18869/acadpub.jsri.2.1.89

Subject(s) - cox process , point process , relevance (law) , inference , proportional hazards model , process (computing) , gaussian process , computer science , moment (physics) , statistical model , statistical physics , econometrics , statistics , data mining , mathematics , gaussian , artificial intelligence , poisson process , poisson distribution , physics , operating system , classical mechanics , quantum mechanics , political science , law

Probabilistic properties of Cox processes of relevance for statistical modelling and inference are studied. Particularly, we study the most important classes of Cox processes, including log Gaussian Cox processes, shot noise Cox processes, and permanent Cox processes. We consider moment properties and point process operations such as thinning, displacements, and superpositioning. We also discuss how to simulate specific Cox processes.

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