{
  "id": "1511.03830",
  "version": "v1",
  "published": "2015-11-12T09:46:08.000Z",
  "updated": "2015-11-12T09:46:08.000Z",
  "title": "Estimation of entropy for Poisson marked point processes",
  "authors": [
    "Alonso-Ruiz",
    "Spodarev"
  ],
  "comment": "25 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, a kernel estimator of the differential entropy of the mark distribution of a homogeneous Poisson marked point process is proposed. The marks have an absolutely continuous distribution on a compact Riemannian manifold without boundary. $L^2$ and almost surely consistency of this estimator as well as its asymptotic normality are investigated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-12T09:46:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "62M30",
      "60F05",
      "60G60"
    ],
    "keywords": [
      "estimation",
      "homogeneous poisson marked point process",
      "compact riemannian manifold",
      "asymptotic normality",
      "kernel estimator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151103830A"
    }
  }
}