"beta distribution" meaning in English

{
  "forms": [
    {
      "form": "beta distributions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "beta distribution (plural beta 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"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Statistics",
          "orig": "en:Statistics",
          "parents": [
            "Formal sciences",
            "Mathematics",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "beta distribution of the second kind"
        },
        {
          "word": "beta prime distribution"
        }
      ],
      "examples": [
        {
          "ref": "2006, Kent E. Holsinger, “Chapter 2: Bayesian hierarchical models in geographical genetics”, in James S. Clark, Alan E. Gelfand, editors, Hierarchical Modelling for the Environmental Sciences: Statistical Methods and Applications, Oxford University Press, page 25",
          "text": "In particular, I illustrate how a hierarchical model in which the allele frequency distribution among populations is approximated by a Beta distribution and distribution of mean allele frequencies across loci is also approximated by a Beta distribution, accounts for the time-correlation of allele frequencies that existing methods of inference ignore.",
          "type": "quotation"
        },
        {
          "text": "2014, Stephen F. Bush, Smart Grid: Communication-Enabled Intelligence for the Electric Power Grid, Wiley, 2015, Reprint with corrections, page 366,\nWhen more than two mutually exclusive events are involved in a frame of reference, the beta distributions form the marginals of a Dirichlet distribution."
        },
        {
          "text": "2014, Nikolay Tcholtchev, Ina Schieferdecker, Framework for Ensuring Runtime Stability of Control Loops in Multi-agent Networked Environments, Marina Gavrilova, C. J. Kenneth Tan (editors), Transactions on Computational Science XXII, Springer, LNCS 8360, page 80,\nWe developed a Matlab script that implements the machine learning procedures as specified by (11), as well as by (13) with applying the beta-distribution (14) as a probability measure."
        }
      ],
      "glosses": [
        "Any of a family of continuous probability distributions defined on the interval [0, 1] whose shape is parametrised by two positive parameters, denoted α and β, which appear as exponents in the associated random variable."
      ],
      "id": "en-beta_distribution-en-noun-cKLlT-LJ",
      "links": [
        [
          "statistics",
          "statistics"
        ],
        [
          "continuous",
          "continuous"
        ],
        [
          "probability distribution",
          "probability distribution"
        ],
        [
          "parameter",
          "parameter"
        ],
        [
          "random variable",
          "random variable"
        ]
      ],
      "raw_glosses": [
        "(probability, statistics) Any of a family of continuous probability distributions defined on the interval [0, 1] whose shape is parametrised by two positive parameters, denoted α and β, which appear as exponents in the associated random variable."
      ],
      "synonyms": [
        {
          "sense": "any of a family of distributions",
          "word": "beta distribution of the first kind"
        }
      ],
      "topics": [
        "mathematics",
        "probability",
        "sciences",
        "statistics"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "type of probability distribution",
          "word": "beta-jakauma"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "type of probability distribution",
          "word": "β-jakauma"
        }
      ],
      "wikipedia": [
        "Bayesian inference",
        "beta distribution"
      ]
    }
  ],
  "word": "beta distribution"
}

{
  "derived": [
    {
      "word": "beta distribution of the second kind"
    },
    {
      "word": "beta prime distribution"
    }
  ],
  "forms": [
    {
      "form": "beta distributions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "beta distribution (plural beta distributions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with quotations",
        "en:Statistics"
      ],
      "examples": [
        {
          "ref": "2006, Kent E. Holsinger, “Chapter 2: Bayesian hierarchical models in geographical genetics”, in James S. Clark, Alan E. Gelfand, editors, Hierarchical Modelling for the Environmental Sciences: Statistical Methods and Applications, Oxford University Press, page 25",
          "text": "In particular, I illustrate how a hierarchical model in which the allele frequency distribution among populations is approximated by a Beta distribution and distribution of mean allele frequencies across loci is also approximated by a Beta distribution, accounts for the time-correlation of allele frequencies that existing methods of inference ignore.",
          "type": "quotation"
        },
        {
          "text": "2014, Stephen F. Bush, Smart Grid: Communication-Enabled Intelligence for the Electric Power Grid, Wiley, 2015, Reprint with corrections, page 366,\nWhen more than two mutually exclusive events are involved in a frame of reference, the beta distributions form the marginals of a Dirichlet distribution."
        },
        {
          "text": "2014, Nikolay Tcholtchev, Ina Schieferdecker, Framework for Ensuring Runtime Stability of Control Loops in Multi-agent Networked Environments, Marina Gavrilova, C. J. Kenneth Tan (editors), Transactions on Computational Science XXII, Springer, LNCS 8360, page 80,\nWe developed a Matlab script that implements the machine learning procedures as specified by (11), as well as by (13) with applying the beta-distribution (14) as a probability measure."
        }
      ],
      "glosses": [
        "Any of a family of continuous probability distributions defined on the interval [0, 1] whose shape is parametrised by two positive parameters, denoted α and β, which appear as exponents in the associated random variable."
      ],
      "links": [
        [
          "statistics",
          "statistics"
        ],
        [
          "continuous",
          "continuous"
        ],
        [
          "probability distribution",
          "probability distribution"
        ],
        [
          "parameter",
          "parameter"
        ],
        [
          "random variable",
          "random variable"
        ]
      ],
      "raw_glosses": [
        "(probability, statistics) Any of a family of continuous probability distributions defined on the interval [0, 1] whose shape is parametrised by two positive parameters, denoted α and β, which appear as exponents in the associated random variable."
      ],
      "topics": [
        "mathematics",
        "probability",
        "sciences",
        "statistics"
      ],
      "wikipedia": [
        "Bayesian inference",
        "beta distribution"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "any of a family of distributions",
      "word": "beta distribution of the first kind"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "type of probability distribution",
      "word": "beta-jakauma"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "type of probability distribution",
      "word": "β-jakauma"
    }
  ],
  "word": "beta distribution"
}