chi-squared distribution (Q243462)

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continuous probability distribution

• chi-square distribution
• χ2 distribution

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Language	Label	Description	Also known as
English	chi-squared distribution	continuous probability distribution	chi-square distribution χ2 distribution

Statements

subclass of

exponential family

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noncentral chi-squared distribution

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gamma distribution

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Generalized chi-squared distribution

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continuous probability distribution

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part of

statistics

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defining formula

${\displaystyle f(x)={\frac {x^{{\frac {\nu }{2}}-1}\mathrm {e} ^{-x/2}}{2^{\nu /2}\operatorname {\Gamma } (\nu /2)}}}$

1 reference

stated in

ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability

section, verse, paragraph, or clause

2.57

in defining formula

${\displaystyle f(x)}$

symbol represents

probability density function

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${\displaystyle \nu }$

symbol represents

degrees of freedom

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described by source

ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability

section, verse, paragraph, or clause

2.57

subject named as

chi-squared distribution

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on focus list of Wikimedia project

Wikipedia:Vital articles/Level/4

point in time

31 October 2022

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maintained by WikiProject

WikiProject Mathematics

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support of a function

${\displaystyle x>0}$

1 reference

stated in

ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability

section, verse, paragraph, or clause

2.57

characteristic function

${\displaystyle (1-2\mathrm {i} t)^{-\nu /2}}$

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mean of a probability distribution

${\displaystyle \nu }$

1 reference

stated in

ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability

section, verse, paragraph, or clause

2.57

variance of a probability distribution

${\displaystyle 2\nu }$

1 reference

stated in

ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability

section, verse, paragraph, or clause

2.57

skewness

${\displaystyle {\sqrt {\frac {8}{\nu }}}}$

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excess kurtosis

${\displaystyle {\frac {12}{\nu }}}$

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moment-generating function

${\displaystyle (1-2t)^{-\nu /2},\ t\in (-\infty ,1/2)}$

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Commons category

Chi-square distribution

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Identifiers

GND ID

4448035-0

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MeSH descriptor ID

D016009

subject named as

Chi-Square Distribution

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MeSH tree code

E05.318.740.994.300

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G17.820.300

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N05.715.360.750.750.200

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N06.850.520.830.994.300

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BabelNet ID

00260162n

1 reference

stated in

BabelNet

Elhuyar ZTH ID

133814

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Encyclopedia of China (Third Edition) ID

113516

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Freebase ID

/m/0sxdx

1 reference

stated in

Freebase Data Dumps

publication date

28 October 2013

Great Russian Encyclopedia Online ID (old version)

4665157

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MathWorld ID

Chi-SquaredDistribution

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Microsoft Academic ID

89447420

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Sitelinks

Wikipedia(40 entries)

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• arwiki توزيع خي تربيع (توزيع مربع كاي)
• bewiki Размеркаванне хі-квадрат
• cawiki Distribució khi quadrat
• cswiki Rozdělení chí kvadrát
• dawiki Chi i anden-fordelingen
• dewiki Chi-Quadrat-Verteilung
• enwiki Chi-squared distribution
• eswiki Distribución χ²
• euwiki Khi-karratu banaketa
• fawiki توزیع خی‌دو
• fiwiki Χ²-jakauma
• frwiki Loi du χ²
• glwiki Distribución khi cadrado
• hewiki התפלגות כי בריבוע
• hiwiki काई-वर्ग वितरण
• huwiki Khí-négyzet eloszlás
• idwiki Distribusi khi-kuadrat
• iswiki Kí-kvaðratsdreifing
• itwiki Distribuzione chi quadrato
• jawiki カイ二乗分布
• kowiki 카이제곱 분포
• mkwiki Хи-квадратна распределба
• nlwiki Chi-kwadraatverdeling
• nowiki Khikvadratfordeling
• plwiki Rozkład chi kwadrat
• ptwiki Qui-quadrado
• ruwiki Распределение хи-квадрат
• simplewiki Chi-square distribution
• skwiki Χ²-rozdelenie
• slwiki Porazdelitev hi-kvadrat
• sqwiki Shpërndarja hi katror
• srwiki Hi-kvadratna raspodela
• suwiki Sebaran chi-kuadrat
• svwiki Chitvåfördelning
• thwiki การแจกแจงไคกำลังสอง
• tlwiki Distribusyong kinwadradong-chi
• trwiki Ki-kare dağılımı
• ukwiki Розподіл хі-квадрат
• zh_yuewiki Chi-square
• zhwiki 卡方分佈

Wikibooks(0 entries)

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Wikinews(0 entries)

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Wikiquote(0 entries)

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Wikisource(0 entries)

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Wikiversity(0 entries)

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Wikivoyage(0 entries)

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Wiktionary(0 entries)

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Multilingual sites(1 entry)

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• commonswiki Category:Chi-square distribution

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