Volume 14, 2010
|Page(s)||1 - 15|
|Published online||11 February 2010|
Process level moderate deviations for stabilizing functionals
Fakultät für Mathematik, Ruhr-Universität Bochum, NA 3/68, 44780 Bochum, Germany; firstname.lastname@example.org
2 Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Toruń, Poland; email@example.com
Revised: 25 January 2008
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.
Mathematics Subject Classification: 60F05 / 60D05
Key words: Moderate deviations / random Euclidean graphs / random sequential packing.
© EDP Sciences, SMAI, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.