"Bernoulli distribution" meaning in English

{
  "etymology_text": "After Swiss mathematician Jacob Bernoulli (1654—1705), one of many noted mathematicians of the Bernoulli family, who made important contributions to the field of probability.",
  "forms": [
    {
      "form": "Bernoulli distributions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Bernoulli distribution (plural Bernoulli distributions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
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          "parents": [
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Statistics",
          "orig": "en:Statistics",
          "parents": [
            "Formal sciences",
            "Mathematics",
            "Sciences",
            "All topics",
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          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "1977 [Wiley], Jean Dickinson Gibbons, Ingram Olkin, Milton Sobel, Selecting and Ordering Populations, 1999, Society for Industrial and Applied Mathematics, Unabridged corrected republication, page 103,\nSince both of these distributions involve the same parameter p, the problem under consideration here may be called either selection of the best Bernoulli distribution or selection of the best binomial distribution."
        },
        {
          "text": "1985, R. R. Kinnison, Applied Extreme Value Statistics, Battelle Press, page 26,\nA critical factor in the use of Bernoulli distributions is that the parameters of the distribution are known constants."
        },
        {
          "text": "2000, A. Berny, Selection and Reinforcement Learning for Combinatorial Optimization, Marc Schoenauer, Kalyanmoy Deb, Günther Rudolph, Xin Yao, Evelynne Lutton, Juan Julian Merelo, Hans-Paul Schwefel (editors), Parallel Problem Solving from Nature-PPSN VI, 6th International Conference Proceedings, Springer, page 601,\nIn this paper however, we will only consider the family of Bernoulli distributions."
        }
      ],
      "glosses": [
        "A discrete probability distribution that represents the result of a single trial, taking value 1 with \"success\" probability p and value 0 with \"failure\" probability q=1-p."
      ],
      "id": "en-Bernoulli_distribution-en-noun-SBGjZKds",
      "links": [
        [
          "statistics",
          "statistics"
        ],
        [
          "probability distribution",
          "probability distribution"
        ]
      ],
      "raw_glosses": [
        "(statistics) A discrete probability distribution that represents the result of a single trial, taking value 1 with \"success\" probability p and value 0 with \"failure\" probability q=1-p."
      ],
      "related": [
        {
          "word": "Bernoulli random variable"
        }
      ],
      "topics": [
        "mathematics",
        "sciences",
        "statistics"
      ],
      "translations": [
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "distribution",
          "tags": [
            "neuter"
          ],
          "word": "alternativní rozdělení"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "distribution",
          "tags": [
            "neuter"
          ],
          "word": "Bernoulliho rozdělení"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "distribution",
          "word": "Bernoullin jakauma"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "distribution",
          "tags": [
            "feminine"
          ],
          "word": "Bernoulli-Verteilung"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "distribution",
          "word": "Bernoulli-eloszlás"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "distribution",
          "tags": [
            "feminine"
          ],
          "word": "Bernoulli-dreifing"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "distribution",
          "tags": [
            "feminine"
          ],
          "word": "tvíliðudreifing"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "distribution",
          "tags": [
            "feminine"
          ],
          "word": "tvíkostadreifing"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "distribution",
          "tags": [
            "feminine"
          ],
          "word": "distribuție Bernoulli"
        }
      ],
      "wikipedia": [
        "Bernoulli distribution",
        "Bernoulli family",
        "Jacob Bernoulli"
      ]
    }
  ],
  "word": "Bernoulli distribution"
}

{
  "etymology_text": "After Swiss mathematician Jacob Bernoulli (1654—1705), one of many noted mathematicians of the Bernoulli family, who made important contributions to the field of probability.",
  "forms": [
    {
      "form": "Bernoulli distributions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Bernoulli distribution (plural Bernoulli distributions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Bernoulli random variable"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Statistics"
      ],
      "examples": [
        {
          "text": "1977 [Wiley], Jean Dickinson Gibbons, Ingram Olkin, Milton Sobel, Selecting and Ordering Populations, 1999, Society for Industrial and Applied Mathematics, Unabridged corrected republication, page 103,\nSince both of these distributions involve the same parameter p, the problem under consideration here may be called either selection of the best Bernoulli distribution or selection of the best binomial distribution."
        },
        {
          "text": "1985, R. R. Kinnison, Applied Extreme Value Statistics, Battelle Press, page 26,\nA critical factor in the use of Bernoulli distributions is that the parameters of the distribution are known constants."
        },
        {
          "text": "2000, A. Berny, Selection and Reinforcement Learning for Combinatorial Optimization, Marc Schoenauer, Kalyanmoy Deb, Günther Rudolph, Xin Yao, Evelynne Lutton, Juan Julian Merelo, Hans-Paul Schwefel (editors), Parallel Problem Solving from Nature-PPSN VI, 6th International Conference Proceedings, Springer, page 601,\nIn this paper however, we will only consider the family of Bernoulli distributions."
        }
      ],
      "glosses": [
        "A discrete probability distribution that represents the result of a single trial, taking value 1 with \"success\" probability p and value 0 with \"failure\" probability q=1-p."
      ],
      "links": [
        [
          "statistics",
          "statistics"
        ],
        [
          "probability distribution",
          "probability distribution"
        ]
      ],
      "raw_glosses": [
        "(statistics) A discrete probability distribution that represents the result of a single trial, taking value 1 with \"success\" probability p and value 0 with \"failure\" probability q=1-p."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "statistics"
      ],
      "wikipedia": [
        "Bernoulli distribution",
        "Bernoulli family",
        "Jacob Bernoulli"
      ]
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "distribution",
      "tags": [
        "neuter"
      ],
      "word": "alternativní rozdělení"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "distribution",
      "tags": [
        "neuter"
      ],
      "word": "Bernoulliho rozdělení"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "distribution",
      "word": "Bernoullin jakauma"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "distribution",
      "tags": [
        "feminine"
      ],
      "word": "Bernoulli-Verteilung"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "distribution",
      "word": "Bernoulli-eloszlás"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "distribution",
      "tags": [
        "feminine"
      ],
      "word": "Bernoulli-dreifing"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "distribution",
      "tags": [
        "feminine"
      ],
      "word": "tvíliðudreifing"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "distribution",
      "tags": [
        "feminine"
      ],
      "word": "tvíkostadreifing"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "distribution",
      "tags": [
        "feminine"
      ],
      "word": "distribuție Bernoulli"
    }
  ],
  "word": "Bernoulli distribution"
}