Process level moderate deviations for stabilizing functionals
ESAIM: Probability and Statistics, Tome 14 (2010), pp. 1-15.

Functionals of spatial point process often satisfy a weak spatial dependence condition known as stabilization. In this paper we prove process level moderate deviation principles (MDP) for such functionals, which is a level-3 result for empirical point fields as well as a level-2 result for empirical point measures. The level-3 rate function coincides with the so-called specific information. We show that the general result can be applied to prove MDPs for various particular functionals, including random sequential packing, birth-growth models, germ-grain models and nearest neighbor graphs.

DOI : 10.1051/ps:2008027
Classification : 60F05, 60D05
Mots-clés : moderate deviations, random euclidean graphs, random sequential packing 
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Eichelsbacher, Peter; Schreiber, Tomasz. Process level moderate deviations for stabilizing functionals. ESAIM: Probability and Statistics, Tome 14 (2010), pp. 1-15. doi : 10.1051/ps:2008027. http://archive.numdam.org/articles/10.1051/ps:2008027/

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