{
  "id": "1905.02830",
  "version": "v1",
  "published": "2019-05-07T22:37:51.000Z",
  "updated": "2019-05-07T22:37:51.000Z",
  "title": "A Simple Proof of the Monotonicity of the Invariant Distribution for a Discrete Markov Chain",
  "authors": [
    "Mark Whitmeyer"
  ],
  "comment": "2 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "This note presents a simple proof of the monotonicity of the invariant distribution of a discrete Markov chain with a finite state space. This answers a question recently raised by David Siegmund.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-07T22:37:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J10"
    ],
    "keywords": [
      "discrete markov chain",
      "invariant distribution",
      "simple proof",
      "monotonicity",
      "finite state space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 2,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}