{
  "id": "1006.0620",
  "version": "v2",
  "published": "2010-06-03T11:17:59.000Z",
  "updated": "2015-05-19T20:20:52.000Z",
  "title": "On the functional limits for sums of a function of partial sums",
  "authors": [
    "Kamil Marcin Kosiński"
  ],
  "journal": "Statistics and Probability Letters 79 (2009) 1522--1527",
  "doi": "10.1016/j.spl.2009.03.011",
  "categories": [
    "math.PR"
  ],
  "abstract": "We derive a functional central limit theorem (fclt) for normalised sums of a function of the partial sums of independent and identically distributed random variables. In particular, we show, using a technique presented in Huang and Zhang (Electron. Comm. Probab. 12 (2007), 51--56), that the result from Qi (Statist. Probab. Lett. 62 (2003), 93--100), for normalised products of partial sums, can be generalised in this fashion to a fclt.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-06-03T11:17:59.000Z",
      "comment": null,
      "authors": [
        "Kamil Marcin Kosinski"
      ]
    },
    {
      "version": "v2",
      "updated": "2015-05-19T20:20:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partial sums",
      "functional limits",
      "functional central limit theorem",
      "identically distributed random variables",
      "normalised sums"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.0620M"
    }
  }
}