Student's t-distribution (Q576072)

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probability distribution

• Student's distribution
• t-distribution

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Language	Label	Description	Also known as
English	Student's t-distribution	probability distribution	Student's distribution t-distribution

Statements

subclass of

multivariate t-distribution

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noncentral t-distribution

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location-scale family

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symmetric probability distribution

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univariate probability distribution

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continuous probability distribution

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named after

William Sealy Gosset

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discoverer or inventor

William Sealy Gosset

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defining formula

${\displaystyle f(x)={\frac {\operatorname {\Gamma } \left({\frac {\nu +1}{2}}\right)}{{\sqrt {\pi \nu }}\operatorname {\Gamma } \left({\frac {\nu }{2}}\right)}}\left(1+{\frac {x^{2}}{\nu }}\right)^{-{\frac {\nu +1}{2}}}}$

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

2.53

in defining formula

${\displaystyle f(x)}$

symbol represents

probability density function

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${\displaystyle \operatorname {\Gamma } (x)}$

symbol represents

gamma 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

2.53

subject named as

t 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

${\displaystyle x\in \mathbb {R} }$

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

2.53

mean of a probability distribution

${\displaystyle 0}$

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median of a probability distribution

${\displaystyle 0}$

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mode of a probability distribution

${\displaystyle 0}$

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variance of a probability distribution

${\displaystyle {\frac {\nu }{\nu -2}},\nu >2}$

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skewness

${\displaystyle 0,\nu >3}$

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excess kurtosis

${\displaystyle {\frac {6}{\nu -4}},\nu >4}$

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moment-generating function

no value

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Commons category

Student's t-distribution

1 reference

imported from Wikimedia project

German Wikipedia

Identifiers

Elhuyar ZTH ID

137966

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Encyclopædia Britannica Online ID

topic/Students-t-distribution

subject named as

Student’s t distribution

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Freebase ID

/m/0qdxm

1 reference

stated in

Freebase Data Dumps

publication date

28 October 2013

Great Russian Encyclopedia Online ID (old version)

4170429

subject named as

СТЬЮДЕНТА РАСПРЕДЕЛЕНИЕ

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MathWorld ID

Studentst-Distribution

1 reference

stated in

MathWorld

Microsoft Academic ID

49232408

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OpenAlex ID

C49232408

1 reference

stated in

OpenAlex

retrieved

26 January 2022

reference URL

https://docs.openalex.org/download-snapshot/snapshot-data-format

Quora topic ID

T-Distribution

1 reference

stated in

Quora

 

Sitelinks

Wikipedia(38 entries)

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• arwiki توزيع ستيودنت الاحتمالي
• astwiki Distribución t de Student
• bewiki Размеркаванне Ст’юдэнта
• cawiki Distribució t de Student
• cswiki Studentovo rozdělení
• cvwiki Стьюдент валеçĕвĕ
• dewiki Studentsche t-Verteilung
• elwiki Κατανομή t-Student
• enwiki Student's t-distribution
• eswiki Distribución t de Student
• euwiki Studenten t banaketa
• fawiki توزیع تی-استیودنت
• fiwiki Studentin t-jakauma
• frwiki Loi de Student
• glwiki Distribución t de Student
• hewiki התפלגות t
• itwiki Distribuzione t di Student
• jawiki T分布
• jvwiki Dhistribusi t-student
• kowiki 스튜던트 t 분포
• mkwiki Студентова t-распределба
• nlwiki Studentverdeling
• nowiki Students t-fordeling
• plwiki Rozkład Studenta
• ptwiki Distribuição t de Student
• ruwiki Распределение Стьюдента
• simplewiki Student's t-distribution
• skwiki Studentovo rozdelenie
• slwiki Studentova t-porazdelitev
• sqwiki Shpërndarja e Studentit
• srwiki Studentova t-raspodela
• suwiki Sebaran-t student
• svwiki Students t-fördelning
• tlwiki Distribusyong-t ni Student
• trwiki Student'in t dağılımı
• ukwiki T-розподіл Стьюдента
• zh_yuewiki 學生t分佈
• zhwiki 司徒頓t分布

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(1 entry)

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• frwikiversity Probabilités et analyse combinatoire/Loi de Student

Wikivoyage(0 entries)

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Wiktionary(0 entries)

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Multilingual sites(1 entry)

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• commonswiki Category:Student's t-distribution

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