Process level moderate deviations for stabilizing functionals

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...

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Veröffentlicht in:	Probability and statistics 2010-02, Vol.14, p.1-15
Hauptverfasser:	Eichelsbacher, Peter, Schreiber, Tomasz
Format:	Artikel
Sprache:	eng
Schlagworte:	60D05 60F05 Graph theory Growth models Mathematical analysis Moderate deviations Packing problem random Euclidean graphs random sequential packing Random variables Standard deviation Studies
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