{
  "id": "0907.0058",
  "version": "v3",
  "published": "2009-07-01T02:49:40.000Z",
  "updated": "2015-02-27T13:56:36.000Z",
  "title": "A note on exponential inequalities for the distribution tails of canonical von Mises' statistics of dependent observations",
  "authors": [
    "I. S. Borisov",
    "N. Volodko"
  ],
  "journal": "Statistics and Probability Letters 96 (2015) 287--291",
  "categories": [
    "math.PR"
  ],
  "abstract": "Hoeffding-type exponential inequalities are obtained for the distribution tails of canonical von Mises' statistics of arbitrary order based on samples from a stationary sequence of random variables satisfying the {\\varphi}-mixing condition. The present paper weakens the restrictions on the coefficient {\\varphi}() which are contained in the paper \"Exponential inequalities for the distributions of canonical U- and V-statistics of dependent observations\" by Borisov and Volodko (2009). At the same time, we correct the corresponding proof in this paper.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-09T11:57:36.000Z",
      "title": "Exponential inequalities for the distributions of canonical U- and V-statistics of dependent observations",
      "abstract": "The exponential inequalities are obtained for the distribution tails of canonical (degenerate) U- and V-statistics of an arbitrary order based on samples from uniformly strong mixing stationary sequences.",
      "comment": null,
      "journal": "Siberian Adv. Math. 19 (1), 1-12 (2009)",
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-02-27T13:56:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exponential inequalities",
      "dependent observations",
      "v-statistics",
      "uniformly strong mixing stationary sequences",
      "distribution tails"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.0058B"
    }
  }
}