"central limit theorem" meaning in All languages combined

See central limit theorem on Wiktionary

Noun [English]

Forms: central limit theorems [plural]
Head templates: {{en-noun}} central limit theorem (plural central limit theorems)
  1. (statistics and mathematics, singular only) The theorem that states that if the sum of independent identically distributed random variables has a finite variance, then it will be approximately normally distributed. Tags: singular, singular-only Categories (topical): Mathematics, Statistics Synonyms (the theorem): Central Limit Theorem Translations (the theorem): կենտրոնական սահմանային թեորեմ (kentronakan sahmanayin tʻeorem) (Armenian), centrální limitní věta [feminine] (Czech), keskeinen raja-arvolause (Finnish), théorème central limite [masculine] (French), Zentraler Grenzwertsatz [masculine] (German), meginmarkgildissetning tölfræðinnar [feminine] (Icelandic), höfuðsetning tölfræðinnar [feminine] (Icelandic), центра́льная преде́льная теоре́ма (centrálʹnaja predélʹnaja teoréma) [feminine] (Russian)
    Sense id: en-central_limit_theorem-en-noun-l5xrXvS1 Categories (other): English singularia tantum, English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Armenian translations, Terms with Czech translations, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Icelandic translations, Terms with Russian translations Disambiguation of English entries with incorrect language header: 62 38 Disambiguation of Entries with translation boxes: 69 31 Disambiguation of Pages with 1 entry: 64 36 Disambiguation of Pages with entries: 67 33 Disambiguation of Terms with Armenian translations: 72 28 Disambiguation of Terms with Czech translations: 72 28 Disambiguation of Terms with Finnish translations: 72 28 Disambiguation of Terms with French translations: 74 26 Disambiguation of Terms with German translations: 72 28 Disambiguation of Terms with Icelandic translations: 72 28 Disambiguation of Terms with Russian translations: 73 27 Topics: mathematics, sciences, statistics Disambiguation of 'the theorem': 72 28 Disambiguation of 'the theorem': 72 28
  2. (mathematics, countable) Any of various similar theorems. Tags: countable Categories (topical): Mathematics Translations (any similar theorem): կենտրոնական սահմանային թեորեմ (kentronakan sahmanayin tʻeorem) (Armenian), keskeinen raja-arvolause (Finnish)
    Sense id: en-central_limit_theorem-en-noun-gjKhsIog Topics: mathematics, sciences Disambiguation of 'any similar theorem': 26 74

Inflected forms

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        "The theorem that states that if the sum of independent identically distributed random variables has a finite variance, then it will be approximately normally distributed."
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        "(statistics and mathematics, singular only) The theorem that states that if the sum of independent identically distributed random variables has a finite variance, then it will be approximately normally distributed."
      ],
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        {
          "_dis1": "72 28",
          "sense": "the theorem",
          "word": "Central Limit Theorem"
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          "_dis1": "72 28",
          "code": "hy",
          "lang": "Armenian",
          "roman": "kentronakan sahmanayin tʻeorem",
          "sense": "the theorem",
          "word": "կենտրոնական սահմանային թեորեմ"
        },
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          "_dis1": "72 28",
          "code": "cs",
          "lang": "Czech",
          "sense": "the theorem",
          "tags": [
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          "word": "centrální limitní věta"
        },
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          "_dis1": "72 28",
          "code": "fi",
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          "sense": "the theorem",
          "word": "keskeinen raja-arvolause"
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          "_dis1": "72 28",
          "code": "fr",
          "lang": "French",
          "sense": "the theorem",
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          "word": "théorème central limite"
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          "_dis1": "72 28",
          "code": "de",
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          "word": "Zentraler Grenzwertsatz"
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          "code": "is",
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          "sense": "the theorem",
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          "roman": "centrálʹnaja predélʹnaja teoréma",
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          "word": "центра́льная преде́льная теоре́ма"
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        "(mathematics, countable) Any of various similar theorems."
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          "_dis1": "26 74",
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          "sense": "any similar theorem",
          "word": "keskeinen raja-arvolause"
        }
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  "wikipedia": [
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  "word": "central limit theorem"
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        "(statistics and mathematics, singular only) The theorem that states that if the sum of independent identically distributed random variables has a finite variance, then it will be approximately normally distributed."
      ],
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        "(mathematics, countable) Any of various similar theorems."
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      "code": "hy",
      "lang": "Armenian",
      "roman": "kentronakan sahmanayin tʻeorem",
      "sense": "the theorem",
      "word": "կենտրոնական սահմանային թեորեմ"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "the theorem",
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      ],
      "word": "centrální limitní věta"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "the theorem",
      "word": "keskeinen raja-arvolause"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "the theorem",
      "tags": [
        "masculine"
      ],
      "word": "théorème central limite"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "the theorem",
      "tags": [
        "masculine"
      ],
      "word": "Zentraler Grenzwertsatz"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "the theorem",
      "tags": [
        "feminine"
      ],
      "word": "meginmarkgildissetning tölfræðinnar"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "the theorem",
      "tags": [
        "feminine"
      ],
      "word": "höfuðsetning tölfræðinnar"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "centrálʹnaja predélʹnaja teoréma",
      "sense": "the theorem",
      "tags": [
        "feminine"
      ],
      "word": "центра́льная преде́льная теоре́ма"
    },
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      "code": "hy",
      "lang": "Armenian",
      "roman": "kentronakan sahmanayin tʻeorem",
      "sense": "any similar theorem",
      "word": "կենտրոնական սահմանային թեորեմ"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "any similar theorem",
      "word": "keskeinen raja-arvolause"
    }
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  "wikipedia": [
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  "word": "central limit theorem"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.