"geometric distribution" meaning in English

{
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      "form": "geometric distributions",
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        "plural"
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      "expansion": "geometric distribution (plural geometric distributions)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
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          "source": "w"
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          "name": "Mandarin terms with redundant transliterations",
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      "examples": [
        {
          "ref": "1973, Elizabeth M. Gammon, “A Syntactical Analysis of Some First-Grade Readers”, in K. J. J. Hintikka, P. Suppes, J.M.E. Moravcsik, editors, Approaches to Natural Language: Proceedings of the 1970 Stanford Workshop on Grammar and Semantics, Springer, page 122",
          "text": "If S₁ had been chosen to be a geometric distribution, no a priori choices would have been necessary. This distribution was effective in Suppes (1970), but it would provide a poor fit in this case. If the geometric distribution had been used here, the parameter S₁ would have appeared in every theoretical probability involving N, and whenever one or more adjectives were included, a corresponding number of S₂ = 1 - S₁ terms would have appeared in the probability.",
          "type": "quotation"
        },
        {
          "text": "2009, Matthew J. Hassett, Donald Stewart, Probability for Risk Management, 2nd Edition, ACTEX Publications, page 139,\nRecall that we have already calculated the mean and variance for the geometric distribution case (r = 1) in Example 5.17."
        },
        {
          "ref": "2010, Peter A. Rogerson, Statistical Methods for Geography: A Student's Guide, 3rd edition, SAGE Publications, page 92",
          "text": "The exponential distribution has a number of other interesting characteristics and properties. It is very similar to the geometric distribution, and in fact is the continuous version of that discrete distribution. Recall that the geometric distribution was used to model the time until the first success, where there were a discrete number of trials.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Either of two slightly different discrete probability distributions, each based on repetitions of a trial with \"success\" probability p: (1) the number X of trials required to obtain one success, or (2) the number Y = X − 1 of failed trials before the first success."
      ],
      "id": "en-geometric_distribution-en-noun-FVZ9Dz9q",
      "links": [
        [
          "discrete",
          "discrete"
        ],
        [
          "probability distribution",
          "probability distribution"
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      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "type of probability distribution",
          "word": "幾何分佈"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "jǐhéfēnbù",
          "sense": "type of probability distribution",
          "word": "几何分布"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "type of probability distribution",
          "word": "geometrinen jakauma"
        },
        {
          "code": "kk",
          "lang": "Kazakh",
          "roman": "geometriälyq taralym",
          "sense": "type of probability distribution",
          "word": "геометриялық таралым"
        }
      ],
      "wikipedia": [
        "geometric distribution"
      ]
    }
  ],
  "word": "geometric distribution"
}

{
  "forms": [
    {
      "form": "geometric distributions",
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "examples": [
        {
          "ref": "1973, Elizabeth M. Gammon, “A Syntactical Analysis of Some First-Grade Readers”, in K. J. J. Hintikka, P. Suppes, J.M.E. Moravcsik, editors, Approaches to Natural Language: Proceedings of the 1970 Stanford Workshop on Grammar and Semantics, Springer, page 122",
          "text": "If S₁ had been chosen to be a geometric distribution, no a priori choices would have been necessary. This distribution was effective in Suppes (1970), but it would provide a poor fit in this case. If the geometric distribution had been used here, the parameter S₁ would have appeared in every theoretical probability involving N, and whenever one or more adjectives were included, a corresponding number of S₂ = 1 - S₁ terms would have appeared in the probability.",
          "type": "quotation"
        },
        {
          "text": "2009, Matthew J. Hassett, Donald Stewart, Probability for Risk Management, 2nd Edition, ACTEX Publications, page 139,\nRecall that we have already calculated the mean and variance for the geometric distribution case (r = 1) in Example 5.17."
        },
        {
          "ref": "2010, Peter A. Rogerson, Statistical Methods for Geography: A Student's Guide, 3rd edition, SAGE Publications, page 92",
          "text": "The exponential distribution has a number of other interesting characteristics and properties. It is very similar to the geometric distribution, and in fact is the continuous version of that discrete distribution. Recall that the geometric distribution was used to model the time until the first success, where there were a discrete number of trials.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Either of two slightly different discrete probability distributions, each based on repetitions of a trial with \"success\" probability p: (1) the number X of trials required to obtain one success, or (2) the number Y = X − 1 of failed trials before the first success."
      ],
      "links": [
        [
          "discrete",
          "discrete"
        ],
        [
          "probability distribution",
          "probability distribution"
        ]
      ],
      "wikipedia": [
        "geometric distribution"
      ]
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "type of probability distribution",
      "word": "幾何分佈"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "jǐhéfēnbù",
      "sense": "type of probability distribution",
      "word": "几何分布"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "type of probability distribution",
      "word": "geometrinen jakauma"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "geometriälyq taralym",
      "sense": "type of probability distribution",
      "word": "геометриялық таралым"
    }
  ],
  "word": "geometric distribution"
}