{
  "abstract": "It is shown that, if an event $A$ has the same conditional probability in each trial in an infinite sequence of Bernoulli trials, then $A$ is independent of each trial. More general results are actually established.",
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  "arxiv": "2608.13559",
  "author_total": 1,
  "authors": [
    {
      "name": "Iosif Pinelis"
    }
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  "doi": "10.48550/arxiv.2608.13559",
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  "pdf_url": "https://arxiv.org/pdf/2608.13559",
  "pmcid": null,
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  "published": "2026-09-08",
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
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  "title": "Equi-dependence implying independence",
  "title_text": "Equi-dependence implying independence",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:01Z",
  "url": "https://research.draconitic.com/paper/6cehf9vm0gt13",
  "venue": "arXiv",
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