{
  "id": "1407.0134",
  "version": "v1",
  "published": "2014-07-01T08:07:59.000Z",
  "updated": "2014-07-01T08:07:59.000Z",
  "title": "Probability distributions of extremes of self-similar Gaussian random fields",
  "authors": [
    "Vitalii Makogin",
    "Yuriy Kozachenko"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We have obtained some upper bounds for the probability distribution of extremes of a self-similar Gaussian random field with stationary rectangular increments that are defined on the compact spaces. The probability distributions of extremes for the normalized self-similar Gaussian random fields with stationary rectangular increments defined in ${\\mathbb{R}}^2_+$ have been presented. In our work we have used the techniques developed for the self-similar fields and based on the classical series analysis of the maximal probability bounding from below for the Gaussian fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-01T08:07:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G18",
      "60G60",
      "60G70"
    ],
    "keywords": [
      "probability distribution",
      "stationary rectangular increments",
      "normalized self-similar gaussian random fields",
      "gaussian fields",
      "maximal probability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.0134M"
    }
  }
}