# Process level moderate deviations for stabilizing functionals

Peter Eichelsbacher; Tomasz Schreiber

ESAIM: Probability and Statistics (2010)

- Volume: 14, page 1-15
- ISSN: 1292-8100

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topEichelsbacher, Peter, and Schreiber, Tomasz. "Process level moderate deviations for stabilizing functionals." ESAIM: Probability and Statistics 14 (2010): 1-15. <http://eudml.org/doc/250824>.

@article{Eichelsbacher2010,

abstract = {
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.
},

author = {Eichelsbacher, Peter, Schreiber, Tomasz},

journal = {ESAIM: Probability and Statistics},

keywords = {Moderate deviations; random Euclidean graphs; random sequential packing.; moderate deviation; random Euclidean graph; random sequential packing},

language = {eng},

month = {2},

pages = {1-15},

publisher = {EDP Sciences},

title = {Process level moderate deviations for stabilizing functionals},

url = {http://eudml.org/doc/250824},

volume = {14},

year = {2010},

}

TY - JOUR

AU - Eichelsbacher, Peter

AU - Schreiber, Tomasz

TI - Process level moderate deviations for stabilizing functionals

JO - ESAIM: Probability and Statistics

DA - 2010/2//

PB - EDP Sciences

VL - 14

SP - 1

EP - 15

AB -
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.

LA - eng

KW - Moderate deviations; random Euclidean graphs; random sequential packing.; moderate deviation; random Euclidean graph; random sequential packing

UR - http://eudml.org/doc/250824

ER -

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