{
  "id": "2409.05085",
  "version": "v1",
  "published": "2024-09-08T13:08:47.000Z",
  "updated": "2024-09-08T13:08:47.000Z",
  "title": "Ordinary and logarithmical convexity of moment generating function",
  "authors": [
    "M. R. Formica",
    "E. Ostrovsky",
    "L. Sirota"
  ],
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "We establish an ordinary as well as a logarithmical convexity of the Moment Generating Function (MGF) for the centered random variable and vector (r.v.) satisfying the Kramer's condition. Our considerations are based on the theory of the so-called Grand Lebesgue Spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-08T13:08:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moment generating function",
      "logarithmical convexity",
      "grand lebesgue spaces",
      "kramers condition",
      "considerations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}