{
  "id": "1901.02984",
  "version": "v1",
  "published": "2019-01-10T00:54:34.000Z",
  "updated": "2019-01-10T00:54:34.000Z",
  "title": "Local limit theorems for smoothed Bernoulli and other convolutions",
  "authors": [
    "Sergey G. Bobkov",
    "Arnaud Marsiglietti"
  ],
  "comment": "20 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We explore an asymptotic behavior of densities of sums of independent random variables that are convoluted with a small continuous noise.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-10T00:54:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local limit theorems",
      "smoothed bernoulli",
      "convolutions",
      "independent random variables",
      "asymptotic behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}