See random variable in All languages combined, or Wiktionary
Download JSON data for random variable meaning in English (7.0kB)
{
"forms": [
{
"form": "random variables",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "random variable (plural random variables)",
"name": "en-noun"
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],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Statistics",
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"derived": [
{
"_dis1": "70 30",
"word": "continuous random variable"
},
{
"_dis1": "70 30",
"word": "discrete random variable"
}
],
"glosses": [
"A quantity whose value is random and to which a probability distribution is assigned, such as the possible outcome of a roll of a dice."
],
"id": "en-random_variable-en-noun-An9B7a8q",
"links": [
[
"statistics",
"statistics"
],
[
"quantity",
"quantity"
],
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"probability distribution",
"probability distribution"
]
],
"raw_glosses": [
"(statistics, broadly) A quantity whose value is random and to which a probability distribution is assigned, such as the possible outcome of a roll of a dice."
],
"synonyms": [
{
"_dis1": "69 31",
"word": "variate"
},
{
"_dis1": "69 31",
"tags": [
"broadly"
],
"word": "random quantity"
},
{
"_dis1": "69 31",
"tags": [
"broadly",
"formal"
],
"word": "aleatory variable"
},
{
"_dis1": "69 31",
"tags": [
"broadly",
"formal"
],
"word": "stochastic variable"
}
],
"tags": [
"broadly"
],
"topics": [
"mathematics",
"sciences",
"statistics"
]
},
{
"categories": [
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{
"ref": "1996, Ron C. Mittelhammer, Mathematical Statistics for Economics and Business, volume 78, Springer, page 45",
"text": "Henceforth the symbol X(w) will be used for the random variable X#x3A;S#x5C;rightarrow#x5C;mathbb#x7B;R#x7D;.",
"type": "quotation"
},
{
"ref": "2009, Christian Perwass, Geometric Algebra with Applications in Engineering, Springer, page 351",
"text": "The particular example considered here is the Hilbert space of random variables.",
"type": "quotation"
},
{
"ref": "2012, Scott Miller, Donald Childers, Probability and Random Processes, 2nd edition, Elsevier (Academic Press), page 177",
"text": "A two-dimensional random variable is a mapping of the points in the sample space to ordered pairs {x, y}. Usually, when dealing with a pair of random variables, the sample space naturally partitions itself so that it can be viewed as a combination of two simpler sample spaces.",
"type": "quotation"
}
],
"glosses": [
"A measurable function from a sample space to the measurable space of possible values of the variable."
],
"id": "en-random_variable-en-noun-Sqasj~w2",
"links": [
[
"statistics",
"statistics"
],
[
"measurable function",
"measurable function"
],
[
"sample space",
"sample space"
]
],
"raw_glosses": [
"(statistics, formally) A measurable function from a sample space to the measurable space of possible values of the variable."
],
"tags": [
"formal"
],
"topics": [
"mathematics",
"sciences",
"statistics"
],
"translations": [
{
"_dis1": "12 88",
"code": "ar",
"lang": "Arabic",
"roman": "mutaḡayyir ʕašwāʔiyy",
"sense": "measurable function from a sample space",
"word": "مُتَغَيِّر عَشْوَائِيّ"
},
{
"_dis1": "12 88",
"code": "cs",
"lang": "Czech",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "náhodná veličina"
},
{
"_dis1": "12 88",
"code": "eo",
"lang": "Esperanto",
"sense": "measurable function from a sample space",
"word": "stokasto"
},
{
"_dis1": "12 88",
"code": "fi",
"lang": "Finnish",
"sense": "measurable function from a sample space",
"word": "satunnaismuuttuja"
},
{
"_dis1": "12 88",
"code": "de",
"lang": "German",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "Zufallsvariable"
},
{
"_dis1": "12 88",
"code": "de",
"lang": "German",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "Zufallsgröße"
},
{
"_dis1": "12 88",
"code": "el",
"lang": "Greek",
"roman": "tychaía metavlití",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "τυχαία μεταβλητή"
},
{
"_dis1": "12 88",
"code": "he",
"lang": "Hebrew",
"roman": "mishtané mikrí",
"sense": "measurable function from a sample space",
"tags": [
"masculine"
],
"word": "משתנה מקרי"
},
{
"_dis1": "12 88",
"code": "hu",
"lang": "Hungarian",
"sense": "measurable function from a sample space",
"word": "valószínűségi változó"
},
{
"_dis1": "12 88",
"code": "hu",
"lang": "Hungarian",
"sense": "measurable function from a sample space",
"word": "valváltozó"
},
{
"_dis1": "12 88",
"code": "is",
"lang": "Icelandic",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "hending"
},
{
"_dis1": "12 88",
"code": "is",
"lang": "Icelandic",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "slembibreyta"
},
{
"_dis1": "12 88",
"code": "is",
"lang": "Icelandic",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "slembistærð"
},
{
"_dis1": "12 88",
"code": "is",
"lang": "Icelandic",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "slemba"
},
{
"_dis1": "12 88",
"code": "ja",
"lang": "Japanese",
"sense": "measurable function from a sample space",
"word": "確率変数"
},
{
"_dis1": "12 88",
"code": "mi",
"lang": "Maori",
"sense": "measurable function from a sample space",
"word": "taurangi matapōkere"
},
{
"_dis1": "12 88",
"code": "pl",
"lang": "Polish",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "zmienna losowa"
},
{
"_dis1": "12 88",
"code": "ro",
"lang": "Romanian",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "variabilă aleatorie"
},
{
"_dis1": "12 88",
"code": "ro",
"lang": "Romanian",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "variabilă incidentală"
},
{
"_dis1": "12 88",
"code": "es",
"lang": "Spanish",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "variable aleatoria"
},
{
"_dis1": "12 88",
"code": "sv",
"lang": "Swedish",
"sense": "measurable function from a sample space",
"tags": [
"common-gender"
],
"word": "slumpvariabel"
},
{
"_dis1": "12 88",
"code": "tl",
"lang": "Tagalog",
"sense": "measurable function from a sample space",
"word": "alisagang aligin"
},
{
"_dis1": "12 88",
"code": "uk",
"lang": "Ukrainian",
"roman": "vypadkóva velyčyná",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "випадко́ва величина́"
}
]
}
],
"wikipedia": [
"random variable"
],
"word": "random variable"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns"
],
"derived": [
{
"word": "continuous random variable"
},
{
"word": "discrete random variable"
}
],
"forms": [
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"form": "random variables",
"tags": [
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"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"en:Statistics"
],
"glosses": [
"A quantity whose value is random and to which a probability distribution is assigned, such as the possible outcome of a roll of a dice."
],
"links": [
[
"statistics",
"statistics"
],
[
"quantity",
"quantity"
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],
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"(statistics, broadly) A quantity whose value is random and to which a probability distribution is assigned, such as the possible outcome of a roll of a dice."
],
"tags": [
"broadly"
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"sciences",
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"examples": [
{
"ref": "1996, Ron C. Mittelhammer, Mathematical Statistics for Economics and Business, volume 78, Springer, page 45",
"text": "Henceforth the symbol X(w) will be used for the random variable X#x3A;S#x5C;rightarrow#x5C;mathbb#x7B;R#x7D;.",
"type": "quotation"
},
{
"ref": "2009, Christian Perwass, Geometric Algebra with Applications in Engineering, Springer, page 351",
"text": "The particular example considered here is the Hilbert space of random variables.",
"type": "quotation"
},
{
"ref": "2012, Scott Miller, Donald Childers, Probability and Random Processes, 2nd edition, Elsevier (Academic Press), page 177",
"text": "A two-dimensional random variable is a mapping of the points in the sample space to ordered pairs {x, y}. Usually, when dealing with a pair of random variables, the sample space naturally partitions itself so that it can be viewed as a combination of two simpler sample spaces.",
"type": "quotation"
}
],
"glosses": [
"A measurable function from a sample space to the measurable space of possible values of the variable."
],
"links": [
[
"statistics",
"statistics"
],
[
"measurable function",
"measurable function"
],
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],
"raw_glosses": [
"(statistics, formally) A measurable function from a sample space to the measurable space of possible values of the variable."
],
"tags": [
"formal"
],
"topics": [
"mathematics",
"sciences",
"statistics"
]
}
],
"synonyms": [
{
"word": "variate"
},
{
"tags": [
"broadly"
],
"word": "random quantity"
},
{
"tags": [
"broadly",
"formal"
],
"word": "aleatory variable"
},
{
"tags": [
"broadly",
"formal"
],
"word": "stochastic variable"
}
],
"translations": [
{
"code": "ar",
"lang": "Arabic",
"roman": "mutaḡayyir ʕašwāʔiyy",
"sense": "measurable function from a sample space",
"word": "مُتَغَيِّر عَشْوَائِيّ"
},
{
"code": "cs",
"lang": "Czech",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "náhodná veličina"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "measurable function from a sample space",
"word": "stokasto"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "measurable function from a sample space",
"word": "satunnaismuuttuja"
},
{
"code": "de",
"lang": "German",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "Zufallsvariable"
},
{
"code": "de",
"lang": "German",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "Zufallsgröße"
},
{
"code": "el",
"lang": "Greek",
"roman": "tychaía metavlití",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "τυχαία μεταβλητή"
},
{
"code": "he",
"lang": "Hebrew",
"roman": "mishtané mikrí",
"sense": "measurable function from a sample space",
"tags": [
"masculine"
],
"word": "משתנה מקרי"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "measurable function from a sample space",
"word": "valószínűségi változó"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "measurable function from a sample space",
"word": "valváltozó"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "hending"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "slembibreyta"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "slembistærð"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "slemba"
},
{
"code": "ja",
"lang": "Japanese",
"sense": "measurable function from a sample space",
"word": "確率変数"
},
{
"code": "mi",
"lang": "Maori",
"sense": "measurable function from a sample space",
"word": "taurangi matapōkere"
},
{
"code": "pl",
"lang": "Polish",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "zmienna losowa"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "variabilă aleatorie"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "variabilă incidentală"
},
{
"code": "es",
"lang": "Spanish",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "variable aleatoria"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "measurable function from a sample space",
"tags": [
"common-gender"
],
"word": "slumpvariabel"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "measurable function from a sample space",
"word": "alisagang aligin"
},
{
"code": "uk",
"lang": "Ukrainian",
"roman": "vypadkóva velyčyná",
"sense": "measurable function from a sample space",
"tags": [
"feminine"
],
"word": "випадко́ва величина́"
}
],
"wikipedia": [
"random variable"
],
"word": "random variable"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c 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.
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.