{
  "id": "1909.05837",
  "version": "v1",
  "published": "2019-09-12T17:43:36.000Z",
  "updated": "2019-09-12T17:43:36.000Z",
  "title": "Estimation of expected value of function of i.i.d. Bernoulli random variables",
  "authors": [
    "March T. Boedihardjo"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We estimate the expected value of certain function $f:\\{-1,1\\}^{n}\\to\\mathbb{R}$. For example, with computer assistance, we show that if $A$ is the adjacency matrix of $(\\mathbb{Z}/15\\mathbb{Z})\\times(\\mathbb{Z}/15\\mathbb{Z})$ and $D$ is a diagonal $225\\times 225$ matrix with independent entries uniformly distributed on $\\{-1,1\\}$, then the expected value of the normalized trace of $(6I-(D+A))^{-1}$ is between $0.2006$ and $0.2030$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-12T17:43:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bernoulli random variables",
      "expected value",
      "estimation",
      "computer assistance",
      "adjacency matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}