{
  "id": "0707.4121",
  "version": "v1",
  "published": "2007-07-27T14:03:10.000Z",
  "updated": "2007-07-27T14:03:10.000Z",
  "title": "Characterizations of probability distributions via bivariate regression of record values",
  "authors": [
    "George P. Yanev",
    "M. Ahsanullah",
    "M. I. Beg"
  ],
  "comment": "accepted in Metrika",
  "doi": "10.1007/s00184-007-0142-7",
  "categories": [
    "math.PR"
  ],
  "abstract": "Bairamov et al. (Aust N Z J Stat 47:543-547, 2005) characterize the exponential distribution in terms of the regression of a function of a record value with its adjacent record values as covariates. We extend these results to the case of non-adjacent covariates. We also consider a more general setting involving monotone transformations. As special cases, we present characterizations involving weighted arithmetic, geometric, and harmonic means.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-27T14:03:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G70",
      "60E05"
    ],
    "keywords": [
      "probability distributions",
      "bivariate regression",
      "characterizations",
      "adjacent record values",
      "exponential distribution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.4121Y"
    }
  }
}