{
  "id": "2407.20744",
  "version": "v1",
  "published": "2024-07-30T11:27:20.000Z",
  "updated": "2024-07-30T11:27:20.000Z",
  "title": "Berry-Esseen bounds in local limit theorems",
  "authors": [
    "Sergey Bobkov",
    "Friedrich Götze"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Berry-Esseen-type bounds are developed in the multidimensional local limit theorem in terms of the Lyapunov coefficients and maxima of involved densities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-30T11:27:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "berry-esseen bounds",
      "multidimensional local limit theorem",
      "berry-esseen-type bounds",
      "lyapunov coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}