Difference between revisions of "Language/Multiple-languages/Vocabulary/Probability-Theory"

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[[Category:Sci–Tech_Index]]
{{Sci-Tech-Index-Intro}}
This is a part of the [https://polyglotclub.com/wiki/Language/Multiple-languages/Culture/Introduction-to-Sci%E2%80%93Tech-Index Sci–Tech Index], a project for science and technology learners.


In progress.
{| class="wikitable sortable"
! cmn-Hans-CN: 科目
! cmn-Latn.Pinyin-CN: kēmù
! deu-Latn-DE: Fach [n]
! eng-Latn-US: subject
! fra-Latn-FR: matière [f]
! jpn-Jpan-JP: 科目
! jpn-Hrkt-JP: か↑もく
! rus-Cyrl-RU: предме́т
|-
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== Main ==
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| probability theory ||
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|-
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| arithmetic mean ||
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|-
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| Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem ||
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Line 25: Line 70:
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| Bernoulli process || random variable; stochastic process
|  ||
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|-
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| characteristic function || probability space; random variable; probability distribution
|  ||  
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|}
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| arithmetic mean ||
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| Chebyshev's inequality, Bienaymé–Chebyshev inequality || probability distribution
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|-
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| Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem ||
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| dependent variable || variable <algebra>
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|-
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| binomial distribution || binomial coefficient <number theory>; discrete probability distribution
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| deterministic system || determinism <metaphysics>
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|-
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| characteristic function (probability theory) || probability space; random variable; probability distribution
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| elementary event, atomic event, sample point || event; outcome; sample space
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Line 79: Line 122:
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|-
|-
| Chebyshev's inequality, Bienaymé–Chebyshev inequality || probability distribution
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| event || subset <mathematical logic>; sample space
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|-
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| determinism ||
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| experiment || set <mathematical logic>; outcome; randomness
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|-
|-
| dependent variable || variable (set of attribute)
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| independent variable || variable <algebra>
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|-
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| deterministic system || determinism
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| jointly exhaustive, collectively exhaustive || set <mathematical logic>; event
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|-
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| discrete probability distribution  || probability distribution
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| law of large numbers || expected value
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Line 124: Line 167:
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|-
|-
| elementary event, atomic event, sample point || event (probability theory), outcome (probability theory), sample space
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| law of total probability || marginal distribution; conditional probability
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|-
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| event (probability theory) || subset <set theory>; sample space
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| Markov chain, Markov process || sequence; event; stochastic process
|  ||  
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|-
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| experiment (probability theory) || set (set theory) <set theory>; outcome (probability theory); randomness
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| outcome || experiment
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|-
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| independent variable || variable (set of attribute)
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| probability axioms, Kolmogorov axioms ||
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|-
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| indeterminism ||
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| probability measure || measure <mathematical analysis>; real-valued function; probability space
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|-
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| jointly exhaustive, collectively exhaustive || set <set theory>; event (probability theory)
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| random variable || dependent variable; randomness; outcome
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|-
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| law of large numbers || expected value
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| randomness ||
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|-
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| law of total probability || marginal distribution (probability theory), conditional probability
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| sample space || experiment
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|-
|-
| Markov chain, Markov process || sequence; event (probability theory); stocastic process
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| stochastic process, random process || random variable
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|-
|-
| normal distribution, Gauss distribution, Laplace–Gauss distribution || probability distribution; random variable; arithmetic mean; expected value
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| tree diagram || probability space; event; independence
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|-
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| outcome (probability theory) || experiment (probability theory)
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| trial || experiment
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|-
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| probability axioms, Kolmogorov axioms ||
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| uncorrelatedness || covariance
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|-
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| probability distribution || function (mathematical analysis); outcome (probability theory)
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| variance || expectation; deviation; sample mean; population mean
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|-
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| random variable || dependent variable; randomness; outcome (probability theory)
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|}
{| class="wikitable sortable"
|+ probability distribution
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| randomness ||
|  ||  
|  ||  
|  ||  
|  ||  
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| probability distribution || function <mathematical logic>; outcome
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|-
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| sample space || experiment (probability theory)
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|-
|-
| stochastic process, random process || random variable
|  ||  
|  ||  
|  ||  
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| binomial distribution || binomial coefficient <number theory>; discrete probability distribution
|  ||  
|  ||  
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|-
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| tree diagram (probability theory) || probability space; event (probability theory); independence (probability)
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| discrete probability distribution  || probability distribution
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|-
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| trial (probability theory) || experiment (probability theory)
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| logistic distribution || probability distribution <probability theory>
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|-
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| uncorrelatedness (probability theory) || covariance (probability theory)
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| normal distribution, Gauss distribution, Laplace–Gauss distribution || probability distribution; random variable; arithmetic mean; expected value
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|}
|}


[[File:1024px-Dice_Distribution_(bar).svg.png]]
== Appendix ==
== * Appendix * ==
=== Sentence ===
=== Adjective & Adjective Phrase ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 语句 !! cmn-Hans-CN: 前提
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: yǔjù !! cmn-Latn.Pinyin-CN: qiántí
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Satz [m] !! deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: sentence !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: phrase [f] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 文章 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Hrkt-JP: ぶ​↑んしょ↓う !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: фра́за !! rus-Cyrl-RU: предпосы́лка
|-
|-
| independent || independence (probability theory)
| ||  
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|-
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| pairwise independent || pairwise independence
|  ||  
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| A and B are independent || independence
|  ||  
|  ||  
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| A and B are pairwise independent || pairwise independence
|  ||  
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|  ||  
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|  ||  
|  ||  
|  ||  
|  ||
|}
=== Verb & Verb Phrase ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
Line 379: Line 421:
{| class="wikitable sortable"
{| class="wikitable sortable"
! symbol
! symbol
! eng-Latn-US: concept
! cmn-Hans-CN: 含义
! cmn-Hans-CN: 概念
! cmn-Latn.Pinyin-CN: hányì
! cmn-Latn.Pinyin-CN: gàiniàn
! deu-Latn-DE: Bedeutung [f]
! deu-Latn-DE: Begriff [m]
! eng-Latn-US: meaning
! fra-Latn-FR: concept [m]
! fra-Latn-FR: signification [f]
! jpn-Jpan-JP: 概念
! jpn-Jpan-JP: 意味
! jpn-Hrkt-JP: がいねん
! jpn-Hrkt-JP: い​↓​み
! rus-Cyrl-RU: конце́пция
! rus-Cyrl-RU: значе́ние
|-
|
|
|
|
|
|
|
|
|
|-
|-
| ''p''
| ''p''
| probability
|  
|  
|  
|  
|  
|  
| probability
|  
|  
|  
|  
Line 399: Line 451:
|-
|-
| ''S'', Ω, ''U''
| ''S'', Ω, ''U''
| sample space
|  
|  
|  
|  
|  
|  
| sample space
|  
|  
|  
|  
Line 419: Line 471:
|}
|}


=== Process ===
=== Resource under a Public License ===
{| class="wikitable sortable"
! eng-Latn-US: process !! eng-Latn-US: constituent
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m]
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m]
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材
! jpn-Hrkt-JP: かてい !! jpn-Hrkt-JP: こうざい
! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
=== Related Free Educational Resources ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! branch
! name
! name
! language
! link
! link
! language
! public license
|-
|-
|
|  
|
|  
|
|
|
|-
|
| Probability Theory
| English
| https://github.com/MacroAnalyst/Probability_Theory
|-
|  
|  
|  
|}
|}
<center>
https://upload.wikimedia.org/wikipedia/commons/thumb/1/12/Dice_Distribution_%28bar%29.svg/512px-Dice_Distribution_%28bar%29.svg.png
</center>


{{Sci-Tech-Index-Menu}}
{{Sci-Tech-Index-Menu}}

Revision as of 07:30, 4 July 2022

Hello polyglots, 😀

On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.

cmn-Hans-CN: 科目 cmn-Latn.Pinyin-CN: kēmù deu-Latn-DE: Fach [n] eng-Latn-US: subject fra-Latn-FR: matière [f] jpn-Jpan-JP: 科目 jpn-Hrkt-JP: か↑もく rus-Cyrl-RU: предме́т

Main

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
arithmetic mean
Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem
Bernoulli process random variable; stochastic process
characteristic function probability space; random variable; probability distribution
Chebyshev's inequality, Bienaymé–Chebyshev inequality probability distribution
dependent variable variable <algebra>
deterministic system determinism <metaphysics>
elementary event, atomic event, sample point event; outcome; sample space
event subset <mathematical logic>; sample space
experiment set <mathematical logic>; outcome; randomness
independent variable variable <algebra>
jointly exhaustive, collectively exhaustive set <mathematical logic>; event
law of large numbers expected value
law of total probability marginal distribution; conditional probability
Markov chain, Markov process sequence; event; stochastic process
outcome experiment
probability axioms, Kolmogorov axioms
probability measure measure <mathematical analysis>; real-valued function; probability space
random variable dependent variable; randomness; outcome
randomness
sample space experiment
stochastic process, random process random variable
tree diagram probability space; event; independence
trial experiment
uncorrelatedness covariance
variance expectation; deviation; sample mean; population mean
probability distribution
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
probability distribution function <mathematical logic>; outcome
binomial distribution binomial coefficient <number theory>; discrete probability distribution
discrete probability distribution probability distribution
logistic distribution probability distribution <probability theory>
normal distribution, Gauss distribution, Laplace–Gauss distribution probability distribution; random variable; arithmetic mean; expected value

Appendix

Sentence

cmn-Hans-CN: 语句 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: yǔjù cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Satz [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: sentence eng-Latn-US: prerequisite fra-Latn-FR: phrase [f] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 文章 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: ぶ​↑んしょ↓う jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: фра́за rus-Cyrl-RU: предпосы́лка
A and B are independent independence
A and B are pairwise independent pairwise independence

Symbol

symbol cmn-Hans-CN: 含义 cmn-Latn.Pinyin-CN: hányì deu-Latn-DE: Bedeutung [f] eng-Latn-US: meaning fra-Latn-FR: signification [f] jpn-Jpan-JP: 意味 jpn-Hrkt-JP: い​↓​み rus-Cyrl-RU: значе́ние
p probability
S, Ω, U sample space

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name language link
Probability Theory English https://github.com/MacroAnalyst/Probability_Theory

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