See random variable on Wiktionary
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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": "quote" }, { "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": "quote" }, { "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": "quote" } ], "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": "4 96", "code": "ar", "lang": "Arabic", "roman": "mutaḡayyir ʕašwāʔiyy", "sense": "measurable function from a sample space", "word": "مُتَغَيِّر عَشْوَائِيّ" }, { "_dis1": "4 96", "code": "cs", "lang": "Czech", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "náhodná veličina" }, { "_dis1": "4 96", "code": "eo", "lang": "Esperanto", "sense": "measurable function from a sample space", "word": "stokasto" }, { "_dis1": "4 96", "code": "fi", "lang": "Finnish", "sense": "measurable function from a sample space", "word": "satunnaismuuttuja" }, { "_dis1": "4 96", "code": "de", "lang": "German", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "Zufallsvariable" }, { "_dis1": "4 96", "code": "de", "lang": "German", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "Zufallsgröße" }, { "_dis1": "4 96", "code": "el", "lang": "Greek", "roman": "tychaía metavlití", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "τυχαία μεταβλητή" }, { "_dis1": "4 96", "code": "he", "lang": "Hebrew", "roman": "mishtané mikrí", "sense": "measurable function from a sample space", "tags": [ "masculine" ], "word": "משתנה מקרי" }, { "_dis1": "4 96", "code": "hu", "lang": "Hungarian", "sense": "measurable function from a sample space", "word": "valószínűségi változó" }, { "_dis1": "4 96", "code": "hu", "lang": "Hungarian", "sense": "measurable function from a sample space", "word": "valváltozó" }, { "_dis1": "4 96", "code": "is", "lang": "Icelandic", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "hending" }, { "_dis1": "4 96", "code": "is", "lang": "Icelandic", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "slembibreyta" }, { "_dis1": "4 96", "code": "is", "lang": "Icelandic", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "slembistærð" }, { "_dis1": "4 96", "code": "is", "lang": "Icelandic", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "slemba" }, { "_dis1": "4 96", "code": "ja", "lang": "Japanese", "sense": "measurable function from a sample space", "word": "確率変数" }, { "_dis1": "4 96", "code": "mi", "lang": "Maori", "sense": "measurable function from a sample space", "word": "taurangi matapōkere" }, { "_dis1": "4 96", "code": "pl", "lang": "Polish", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "zmienna losowa" }, { "_dis1": "4 96", "code": "ro", "lang": "Romanian", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "variabilă aleatorie" }, { "_dis1": "4 96", "code": "ro", "lang": "Romanian", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "variabilă incidentală" }, { "_dis1": "4 96", "code": "es", "lang": "Spanish", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "variable aleatoria" }, { "_dis1": "4 96", "code": "sv", "lang": "Swedish", "sense": "measurable function from a sample space", "tags": [ "common-gender" ], "word": "slumpvariabel" }, { "_dis1": "4 96", "code": "tl", "lang": "Tagalog", "sense": "measurable function from a sample space", "word": "alisagang aligin" }, { "_dis1": "4 96", "code": "uk", "lang": "Ukrainian", "roman": "vypadkóva velyčyná", "sense": "measurable function from a sample space", "tags": [ "feminine" ], "word": "випадко́ва величина́" }, { "_dis1": "4 96", "code": "cy", "lang": "Welsh", "sense": "measurable function from a sample space", "tags": [ "masculine" ], "word": "hapnewidyn" } ] } ], "wikipedia": [ "random variable" ], "word": "random variable" }
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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": "quote" }, { "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": "quote" }, { "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": "quote" } ], "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" ], [ "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" ] } ], "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" }, { "code": "cy", "lang": "Welsh", "sense": "measurable function from a sample space", "tags": [ "masculine" ], "word": "hapnewidyn" } ], "wikipedia": [ "random variable" ], "word": "random variable" }
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