See hypergeometric distribution on Wiktionary
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With the hypergeometric distribution, there is no replacement. If N is large in respect to n (N>10n), the binomial distribution is a good approximation to the hypergeometric distribution.", "type": "quote" }, { "text": "2013, Alexandr A. Borovkov, unspecified translator, Probability Theory, [2009, Alexandr A. Borovkov, Teoriya Veroyatnostei, Knizhnyi dom Librokom, 5th Edition], Springer, page 1,\nSampling without replacement from a large population is considered, and convergence of the emerging hypergeometric distributions to the binomial one is formally proved." }, { "ref": "2014, Mark P. Silverman, A Certain Uncertainty: Nature's Random Ways, Cambridge University Press, page 99:", "text": "Knowing that the asymptotic form approaches that of a hypergeometric distribution is not all that helpful since this is a complicated function.[…]To demonstrate analytically what the figure suggests graphically, it is better to work directly with the probability function (2.1.7) than with a moment generating function or a characteristic function, neither of which is easily calculable or useful in the case of a hypergeometric distribution.", "type": "quote" } ], "glosses": [ "A discrete probability distribution that describes the probability of k \"successes\" in a sequence of n draws without replacement from a finite population." ], "id": "en-hypergeometric_distribution-en-noun-YqA083O-", "links": [ [ "probability theory", "probability theory" ], [ "statistics", "statistics" ], [ "discrete", "discrete" ], [ "probability distribution", "probability distribution" ], [ "population", "population" ] ], "raw_glosses": [ "(probability theory, statistics) A discrete probability distribution that describes the probability of k \"successes\" in a sequence of n draws without replacement from a finite population." ], "related": [ { "word": "hypergeometric random variable" } ], "topics": [ "mathematics", "probability-theory", "sciences", "statistics" ], "translations": [ { "code": "cs", "lang": "Czech", "sense": "probability distribution", "tags": [ "neuter" ], "word": "hypergeometrické rozdělení" }, { "code": "nl", "lang": "Dutch", "sense": "probability distribution", "tags": [ "feminine" ], "word": "hypergeometrische verdeling" }, { "code": "fi", "lang": "Finnish", "sense": "probability distribution", "word": "hypergeometrinen jakauma" }, { "code": "fr", "lang": "French", "sense": "probability distribution", "tags": [ "feminine" ], "word": "loi hypergéométrique" }, { "code": "de", "lang": "German", "sense": "probability distribution", "tags": [ "feminine" ], "word": "hypergeometrische Verteilung" }, { "code": "he", "lang": "Hebrew", "sense": "probability distribution", "tags": [ "plural" ], "word": "התפלגות היפרגאומטרית" }, { "code": "hu", "lang": "Hungarian", "sense": "probability distribution", "word": "hipergeometrikus eloszlás" }, { "code": "hu", "lang": "Hungarian", "sense": "probability distribution", "word": "hipergeometriai eloszlás" }, { "code": "it", "lang": "Italian", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribuzione ipergeometrica" }, { "alt": "ちょうきかぶんぷ", "code": "ja", "lang": "Japanese", "roman": "chōkikabunpu", "sense": "probability distribution", "word": "超幾何分布" }, { "code": "pl", "lang": "Polish", "sense": "probability distribution", "tags": [ "masculine" ], "word": "rozkład hipergeometryczny" }, { "code": "pt", "lang": "Portuguese", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribuição hipergeométrica" }, { "code": "ru", "lang": "Russian", "roman": "gipergeometríčeskoje raspredelénije", "sense": "probability distribution", "tags": [ "neuter" ], "word": "гипергеометри́ческое распределе́ние" }, { "code": "es", "lang": "Spanish", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribución hipergeométrica" }, { "code": "sv", "lang": "Swedish", "sense": "probability distribution", "tags": [ "common-gender" ], "word": "hypergeometrisk fördelning" }, { "code": "sv", "lang": "Swedish", "sense": "probability distribution", "tags": [ "common-gender" ], "word": "hypergeometrisk distribution" } ], "wikipedia": [ "hypergeometric distribution" ] } ], "word": "hypergeometric distribution" }
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Silverman, A Certain Uncertainty: Nature's Random Ways, Cambridge University Press, page 99:", "text": "Knowing that the asymptotic form approaches that of a hypergeometric distribution is not all that helpful since this is a complicated function.[…]To demonstrate analytically what the figure suggests graphically, it is better to work directly with the probability function (2.1.7) than with a moment generating function or a characteristic function, neither of which is easily calculable or useful in the case of a hypergeometric distribution.", "type": "quote" } ], "glosses": [ "A discrete probability distribution that describes the probability of k \"successes\" in a sequence of n draws without replacement from a finite population." ], "links": [ [ "probability theory", "probability theory" ], [ "statistics", "statistics" ], [ "discrete", "discrete" ], [ "probability distribution", "probability distribution" ], [ "population", "population" ] ], "raw_glosses": [ "(probability theory, statistics) A discrete probability distribution that describes the probability of k \"successes\" in a sequence of n draws without replacement from a finite population." ], "topics": [ "mathematics", "probability-theory", "sciences", "statistics" ], "wikipedia": [ "hypergeometric distribution" ] } ], "translations": [ { "code": "cs", "lang": "Czech", "sense": "probability distribution", "tags": [ "neuter" ], "word": "hypergeometrické rozdělení" }, { "code": "nl", "lang": "Dutch", "sense": "probability distribution", "tags": [ "feminine" ], "word": "hypergeometrische verdeling" }, { "code": "fi", "lang": "Finnish", "sense": "probability distribution", "word": "hypergeometrinen jakauma" }, { "code": "fr", "lang": "French", "sense": "probability distribution", "tags": [ "feminine" ], "word": "loi hypergéométrique" }, { "code": "de", "lang": "German", "sense": "probability distribution", "tags": [ "feminine" ], "word": "hypergeometrische Verteilung" }, { "code": "he", "lang": "Hebrew", "sense": "probability distribution", "tags": [ "plural" ], "word": "התפלגות היפרגאומטרית" }, { "code": "hu", "lang": "Hungarian", "sense": "probability distribution", "word": "hipergeometrikus eloszlás" }, { "code": "hu", "lang": "Hungarian", "sense": "probability distribution", "word": "hipergeometriai eloszlás" }, { "code": "it", "lang": "Italian", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribuzione ipergeometrica" }, { "alt": "ちょうきかぶんぷ", "code": "ja", "lang": "Japanese", "roman": "chōkikabunpu", "sense": "probability distribution", "word": "超幾何分布" }, { "code": "pl", "lang": "Polish", "sense": "probability distribution", "tags": [ "masculine" ], "word": "rozkład hipergeometryczny" }, { "code": "pt", "lang": "Portuguese", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribuição hipergeométrica" }, { "code": "ru", "lang": "Russian", "roman": "gipergeometríčeskoje raspredelénije", "sense": "probability distribution", "tags": [ "neuter" ], "word": "гипергеометри́ческое распределе́ние" }, { "code": "es", "lang": "Spanish", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribución hipergeométrica" }, { "code": "sv", "lang": "Swedish", "sense": "probability distribution", "tags": [ "common-gender" ], "word": "hypergeometrisk fördelning" }, { "code": "sv", "lang": "Swedish", "sense": "probability distribution", "tags": [ "common-gender" ], "word": "hypergeometrisk distribution" } ], "word": "hypergeometric distribution" }
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