See binomial distribution in All languages combined, or Wiktionary
Download JSON data for binomial distribution meaning in English (4.1kB)
{
"forms": [
{
"form": "binomial distributions",
"tags": [
"plural"
]
}
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"args": {},
"expansion": "binomial distribution (plural binomial distributions)",
"name": "en-noun"
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"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
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},
{
"kind": "topical",
"langcode": "en",
"name": "Probability theory",
"orig": "en:Probability theory",
"parents": [
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"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
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{
"kind": "topical",
"langcode": "en",
"name": "Statistics",
"orig": "en:Statistics",
"parents": [
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"Mathematics",
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"source": "w"
}
],
"derived": [
{
"word": "negative binomial distribution"
}
],
"examples": [
{
"ref": "1979, M. G. Bulmer, Principles of Statistics, Dover, page 81",
"text": "The first two have long histories in statistical theory, the binomial distribution having been discovered by James Bernoulli about 1700 and the Poisson distribution, which is a limiting form of the binomial distribution, by S. D. Poisson in 1837.",
"type": "quotation"
},
{
"ref": "2003, Jim Albert, Teaching Statistics Using Baseball, Mathematical Association of America, page 263",
"text": "The number of hits by a player in a given number of at-bats can be represented by a binomial distribution where the probability of a hit is the player's \"true\" batting average.",
"type": "quotation"
},
{
"ref": "2008, Lisa Marie Sullivan, Essentials of Biostatistics, Jones and Bartlett Publishers, page 67",
"text": "In any application of the binomial distribution, we must clearly specify which outcome is the success and which is the failure. The binomial distribution model allows us to compute the probability of observing a specified number of successes when the process is repeated a specific number of times (e.g., in a set of patients) and the outcome for a given patient is either a success or a failure.",
"type": "quotation"
}
],
"glosses": [
"The discrete probability distribution of the number of successes in a sequence of n independent trials, each of which yields success with probability p."
],
"id": "en-binomial_distribution-en-noun-gjJVoVd7",
"links": [
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"probability theory",
"probability theory"
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"statistics",
"statistics"
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[
"discrete",
"discrete"
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[
"probability distribution",
"probability distribution"
]
],
"raw_glosses": [
"(probability theory, statistics) The discrete probability distribution of the number of successes in a sequence of n independent trials, each of which yields success with probability p."
],
"related": [
{
"word": "binomial random variable"
},
{
"word": "binomial test"
}
],
"topics": [
"mathematics",
"probability-theory",
"sciences",
"statistics"
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "probability distribution",
"tags": [
"neuter"
],
"word": "binomické rozdělení"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "probability distribution",
"word": "binomijakauma"
},
{
"code": "de",
"lang": "German",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "Binomialverteilung"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "probability distribution",
"word": "binomiális eloszlás"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "tvíliðudreifing"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "tvíkostadreifing"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "distribuție binomială"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "distribuție binomică"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "probability distribution",
"word": "duhakaying pamamahagi"
},
{
"code": "uk",
"lang": "Ukrainian",
"roman": "binomiálʹnyj rozpódil",
"sense": "probability distribution",
"tags": [
"masculine"
],
"word": "біноміа́льний розпо́діл"
}
],
"wikipedia": [
"binomial distribution"
]
}
],
"word": "binomial distribution"
}
{
"derived": [
{
"word": "negative binomial distribution"
}
],
"forms": [
{
"form": "binomial distributions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "binomial distribution (plural binomial distributions)",
"name": "en-noun"
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"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "binomial random variable"
},
{
"word": "binomial test"
}
],
"senses": [
{
"categories": [
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"English lemmas",
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"examples": [
{
"ref": "1979, M. G. Bulmer, Principles of Statistics, Dover, page 81",
"text": "The first two have long histories in statistical theory, the binomial distribution having been discovered by James Bernoulli about 1700 and the Poisson distribution, which is a limiting form of the binomial distribution, by S. D. Poisson in 1837.",
"type": "quotation"
},
{
"ref": "2003, Jim Albert, Teaching Statistics Using Baseball, Mathematical Association of America, page 263",
"text": "The number of hits by a player in a given number of at-bats can be represented by a binomial distribution where the probability of a hit is the player's \"true\" batting average.",
"type": "quotation"
},
{
"ref": "2008, Lisa Marie Sullivan, Essentials of Biostatistics, Jones and Bartlett Publishers, page 67",
"text": "In any application of the binomial distribution, we must clearly specify which outcome is the success and which is the failure. The binomial distribution model allows us to compute the probability of observing a specified number of successes when the process is repeated a specific number of times (e.g., in a set of patients) and the outcome for a given patient is either a success or a failure.",
"type": "quotation"
}
],
"glosses": [
"The discrete probability distribution of the number of successes in a sequence of n independent trials, each of which yields success with probability p."
],
"links": [
[
"probability theory",
"probability theory"
],
[
"statistics",
"statistics"
],
[
"discrete",
"discrete"
],
[
"probability distribution",
"probability distribution"
]
],
"raw_glosses": [
"(probability theory, statistics) The discrete probability distribution of the number of successes in a sequence of n independent trials, each of which yields success with probability p."
],
"topics": [
"mathematics",
"probability-theory",
"sciences",
"statistics"
],
"wikipedia": [
"binomial distribution"
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}
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "probability distribution",
"tags": [
"neuter"
],
"word": "binomické rozdělení"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "probability distribution",
"word": "binomijakauma"
},
{
"code": "de",
"lang": "German",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "Binomialverteilung"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "probability distribution",
"word": "binomiális eloszlás"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "tvíliðudreifing"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "tvíkostadreifing"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "distribuție binomială"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "distribuție binomică"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "probability distribution",
"word": "duhakaying pamamahagi"
},
{
"code": "uk",
"lang": "Ukrainian",
"roman": "binomiálʹnyj rozpódil",
"sense": "probability distribution",
"tags": [
"masculine"
],
"word": "біноміа́льний розпо́діл"
}
],
"word": "binomial distribution"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-06 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.
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