"Bayes' theorem" meaning in English

{
  "etymology_text": "Named after English mathematician Thomas Bayes (1701–1761), who developed an early formulation. The modern expression of the theorem is due to Pierre-Simon Laplace, who extended Bayes's work but was apparently unaware of it.",
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  "lang_code": "en",
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      "examples": [
        {
          "ref": "2010, Jonathan Harrington, Phonetic Analysis of Speech Corpora, page 327",
          "text": "The starting point for many techniques in probabilistic classification is Bayes' theorem, which provides a way of relating evidence to a hypothesis.",
          "type": "quotation"
        },
        {
          "ref": "2011, Allen Downey, Think Stats, O'Reilly, page 56",
          "text": "Bayes's theorem is a relationship between the conditional probabilities of two events.",
          "type": "quotation"
        },
        {
          "ref": "2013, Norman Fenton, Martin Neil, Risk Assessment and Decision Analysis with Bayesian Networks, Taylor & Francis (CRC Press), page 131",
          "text": "We have now seen how Bayes' theorem enables us to correctly update a prior probability for some unknown event when we see evidence about the event.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A theorem expressed as an equation that describes the conditional probability of an event or state given prior knowledge of another event."
      ],
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          "probability theory",
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        [
          "conditional probability",
          "conditional probability"
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      "raw_glosses": [
        "(probability theory) A theorem expressed as an equation that describes the conditional probability of an event or state given prior knowledge of another event."
      ],
      "related": [
        {
          "word": "Bayesian"
        },
        {
          "word": "conditional probability"
        },
        {
          "word": "posterior probability"
        },
        {
          "word": "prior probability"
        }
      ],
      "synonyms": [
        {
          "sense": "theorem or equation describing conditional probability",
          "word": "Bayes' law"
        },
        {
          "sense": "theorem or equation describing conditional probability",
          "word": "Bayes' rule"
        },
        {
          "word": "Bayes theorem"
        },
        {
          "word": "Bayes's theorem"
        }
      ],
      "topics": [
        "mathematics",
        "probability-theory",
        "sciences"
      ],
      "wikipedia": [
        "Bayes' theorem",
        "Pierre-Simon Laplace",
        "Thomas Bayes"
      ]
    }
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  "word": "Bayes' theorem"
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{
  "etymology_text": "Named after English mathematician Thomas Bayes (1701–1761), who developed an early formulation. The modern expression of the theorem is due to Pierre-Simon Laplace, who extended Bayes's work but was apparently unaware of it.",
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "Bayesian"
    },
    {
      "word": "conditional probability"
    },
    {
      "word": "posterior probability"
    },
    {
      "word": "prior probability"
    }
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        {
          "ref": "2010, Jonathan Harrington, Phonetic Analysis of Speech Corpora, page 327",
          "text": "The starting point for many techniques in probabilistic classification is Bayes' theorem, which provides a way of relating evidence to a hypothesis.",
          "type": "quotation"
        },
        {
          "ref": "2011, Allen Downey, Think Stats, O'Reilly, page 56",
          "text": "Bayes's theorem is a relationship between the conditional probabilities of two events.",
          "type": "quotation"
        },
        {
          "ref": "2013, Norman Fenton, Martin Neil, Risk Assessment and Decision Analysis with Bayesian Networks, Taylor & Francis (CRC Press), page 131",
          "text": "We have now seen how Bayes' theorem enables us to correctly update a prior probability for some unknown event when we see evidence about the event.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A theorem expressed as an equation that describes the conditional probability of an event or state given prior knowledge of another event."
      ],
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          "equation",
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          "conditional probability"
        ]
      ],
      "raw_glosses": [
        "(probability theory) A theorem expressed as an equation that describes the conditional probability of an event or state given prior knowledge of another event."
      ],
      "topics": [
        "mathematics",
        "probability-theory",
        "sciences"
      ],
      "wikipedia": [
        "Bayes' theorem",
        "Pierre-Simon Laplace",
        "Thomas Bayes"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "theorem or equation describing conditional probability",
      "word": "Bayes' law"
    },
    {
      "sense": "theorem or equation describing conditional probability",
      "word": "Bayes' rule"
    },
    {
      "word": "Bayes theorem"
    },
    {
      "word": "Bayes's theorem"
    }
  ],
  "word": "Bayes' theorem"
}