{
  "id": "1605.04012",
  "version": "v1",
  "published": "2016-05-13T00:14:43.000Z",
  "updated": "2016-05-13T00:14:43.000Z",
  "title": "Global properties of the symmetrized $s$-divergence",
  "authors": [
    "Slavko Simic"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we give a study of the symmetrized divergences $U_s(p,q)=K_s(p||q)+K_s(q||p)$ and $V_s(p,q)=K_s(p||q)K_s(q||p)$, where $K_s$ is the relative divergence of type $s, s\\in\\mathbb R$. Some basic properties as symmetry, monotonicity and log-convexity are established. An important result from the Convexity Theory is also proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-13T00:14:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15"
    ],
    "keywords": [
      "global properties",
      "convexity theory",
      "important result",
      "basic properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}