{
  "id": "math/0603022",
  "version": "v4",
  "published": "2006-03-01T13:18:00.000Z",
  "updated": "2008-06-18T14:46:32.000Z",
  "title": "Moderate deviations for some point measures in geometric probability",
  "authors": [
    "Yu Baryshnikov",
    "P. Eichelsbacher",
    "T. Schreiber",
    "J. E. Yukich"
  ],
  "comment": "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)",
  "journal": "Annales de l'Institut Henri Poincar\\'e - Probabilit\\'es et Statistiques 2008, Vol. 44, No. 3, 422-446",
  "doi": "10.1214/07-AIHP137",
  "categories": [
    "math.PR"
  ],
  "abstract": "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 $k$ nearest neighbor graphs.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2008-06-18T14:46:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60D05"
    ],
    "keywords": [
      "geometric probability",
      "point measures",
      "functionals satisfy moderate deviation principles",
      "nearest neighbor graphs",
      "bounded functions exhibiting exponential stabilization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008AnIHP..44..422B"
    }
  }
}