{
  "id": "1105.1558",
  "version": "v2",
  "published": "2011-05-08T22:05:43.000Z",
  "updated": "2011-07-01T18:10:21.000Z",
  "title": "On-Line Selection of Alternating Subsequences from a Random Sample",
  "authors": [
    "Alessandro Arlotto",
    "Robert W. Chen",
    "Lawrence A. Shepp",
    "J. Michael Steele"
  ],
  "journal": "Journal of Applied Probability 48 (4), December 2011",
  "categories": [
    "math.PR",
    "math.OC"
  ],
  "abstract": "We consider sequential selection of an alternating subsequence from a sequence of independent, identically distributed, continuous random variables, and we determine the exact asymptotic behavior of an optimal sequentially selected subsequence. Moreover, we find (in a sense we make precise) that a person who is constrained to make sequential selections does only about 12% worse than a person who can make selections with full knowledge of the random sequence.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-07-01T18:10:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05",
      "90C40",
      "90C27",
      "90C39"
    ],
    "keywords": [
      "alternating subsequence",
      "on-line selection",
      "random sample",
      "sequential selection",
      "exact asymptotic behavior"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.1558A"
    }
  }
}