Moderate deviations for some point measures in geometric probability
概率论
2009-09-29 v4
摘要
Functionals in geometric probability are often expressed as sums of bounded functions exhibiting exponential stabilization. Methods based on cumulant techniques and exponential modifications of measures show that such functionals satisfy moderate deviation principles. This leads to moderate deviation principles and laws of the iterated logarithm for random packing models as well as for statistics associated with germ-grain models and nearest neighbor graphs.
引用
@article{arxiv.math/0603022,
title = {Moderate deviations for some point measures in geometric probability},
author = {Yu Baryshnikov and P. Eichelsbacher and T. Schreiber and J. E. Yukich},
journal= {arXiv preprint arXiv:math/0603022},
year = {2009}
}
备注
Published in at http://dx.doi.org/10.1214/07-AIHP137 the Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiques (http://www.imstat.org/aihp/) by the Institute of Mathematical Statistics (http://www.imstat.org)