{
  "id": "0901.4186",
  "version": "v1",
  "published": "2009-01-27T07:24:08.000Z",
  "updated": "2009-01-27T07:24:08.000Z",
  "title": "Testing distribution in deconvolution problems",
  "authors": [
    "Denys Pommeret"
  ],
  "comment": "Submitted to the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "categories": [
    "math.ST",
    "stat.TH"
  ],
  "abstract": "In this paper we consider a random variable $Y$ contamined by an independent additive noise $Z$. We assume that $Z$ has known distribution. Our purpose is to test the distribution of the unobserved random variable $Y$. We propose a data driven statistic based on a development of the density of $Y+Z$, which is valid in the discrete case and in the continuous case. The test is illustrated in both cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-27T07:24:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "62G10",
      "62F05"
    ],
    "keywords": [
      "deconvolution problems",
      "testing distribution",
      "data driven statistic",
      "random variable",
      "independent additive noise"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}