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

From Polyglot Club WIKI
Jump to navigation Jump to search
Line 88: Line 88:
|  ||  
|  ||  
|-
|-
| binomial distribution || binomial coefficient <number theory>; discrete probability distribution
| characteristic function || probability space; random variable; probability distribution
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| Chebyshev's inequality, Bienaymé–Chebyshev inequality || probability distribution
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| determinism ||
|  ||
|  ||
|  ||
| ||
|  ||
|  ||
|  ||
|-
| dependent variable || variable <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
Line 97: Line 124:
|  ||  
|  ||  
|-
|-
| characteristic function || probability space; random variable; probability distribution
| deterministic system || determinism
|  ||  
|  ||  
|  ||  
|  ||  
Line 106: Line 133:
|  ||  
|  ||  
|-
|-
| Chebyshev's inequality, Bienaymé–Chebyshev inequality || probability distribution
| elementary event, atomic event, sample point || event, outcome, sample space
|  ||  
|  ||  
|  ||  
|  ||  
Line 115: Line 142:
|  ||  
|  ||  
|-
|-
| determinism ||  
| event || subset <mathematical logic>; sample space
|  ||  
|  ||  
|  ||  
|  ||  
Line 124: Line 151:
|  ||  
|  ||  
|-
|-
| dependent variable || variable <algebra>
| experiment || set <mathematical logic>; outcome; randomness
|  ||  
|  ||  
|  ||  
|  ||  
Line 133: Line 160:
|  ||  
|  ||  
|-
|-
| deterministic system || determinism
| independent variable || variable <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
Line 142: Line 169:
|  ||  
|  ||  
|-
|-
| discrete probability distribution  || probability distribution
| indeterminism ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 151: Line 178:
|  ||  
|  ||  
|-
|-
| elementary event, atomic event, sample point || event, outcome, sample space
| jointly exhaustive, collectively exhaustive || set <mathematical logic>; event
|  ||  
|  ||  
|  ||  
|  ||  
Line 160: Line 187:
|  ||  
|  ||  
|-
|-
| event || subset <mathematical logic>; sample space
| law of large numbers || expected value
|  ||  
|  ||  
|  ||  
|  ||  
Line 169: Line 196:
|  ||  
|  ||  
|-
|-
| experiment || set <mathematical logic>; outcome; randomness
| law of total probability || marginal distribution, conditional probability
|  ||  
|  ||  
|  ||  
|  ||  
Line 178: Line 205:
|  ||  
|  ||  
|-
|-
| independent variable || variable <algebra>
| Markov chain, Markov process || sequence; event; stochastic process
|  ||  
|  ||  
|  ||  
|  ||  
Line 187: Line 214:
|  ||  
|  ||  
|-
|-
| indeterminism ||  
| outcome || experiment
|  ||  
|  ||  
|  ||  
|  ||  
Line 196: Line 223:
|  ||  
|  ||  
|-
|-
| jointly exhaustive, collectively exhaustive || set <mathematical logic>; event
| probability axioms, Kolmogorov axioms ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 205: Line 232:
|  ||  
|  ||  
|-
|-
| law of large numbers || expected value
| probability measure || measure <mathematical analysis>; real-valued function; probability space
|  ||  
|  ||  
|  ||  
|  ||  
Line 214: Line 241:
|  ||  
|  ||  
|-
|-
| law of total probability || marginal distribution, conditional probability
| random variable || dependent variable; randomness; outcome
|  ||  
|  ||  
|  ||  
|  ||  
Line 223: Line 250:
|  ||  
|  ||  
|-
|-
| Markov chain, Markov process || sequence; event; stochastic process
| randomness ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 232: Line 259:
|  ||  
|  ||  
|-
|-
| normal distribution, Gauss distribution, Laplace–Gauss distribution || probability distribution; random variable; arithmetic mean; expected value
| sample space || experiment
|  ||  
|  ||  
|  ||  
|  ||  
Line 241: Line 268:
|  ||  
|  ||  
|-
|-
| outcome || experiment
| stochastic process, random process || random variable
|  ||  
|  ||  
|  ||  
|  ||  
Line 250: Line 277:
|  ||  
|  ||  
|-
|-
| probability axioms, Kolmogorov axioms ||  
| tree diagram || probability space; event; independence
|  ||  
|  ||  
|  ||  
|  ||  
Line 259: Line 286:
|  ||  
|  ||  
|-
|-
| probability distribution || function <mathematical logic>; outcome
| trial || experiment
|  ||  
|  ||  
|  ||  
|  ||  
Line 268: Line 295:
|  ||  
|  ||  
|-
|-
| probability measure || measure <mathematical analysis>; real-valued function; probability space
| uncorrelatedness || covariance
|  ||  
|  ||  
|  ||  
|  ||  
Line 277: Line 304:
|  ||  
|  ||  
|-
|-
| random variable || dependent variable; randomness; outcome
|  ||  
|  ||  
|  ||  
|  ||  
Line 285: Line 311:
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
{| class="wikitable sortable"
|+ probability distribution
! 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↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| randomness ||  
| probability distribution || function <mathematical logic>; outcome
|  ||  
|  ||  
|  ||  
|  ||  
Line 295: Line 334:
|  ||  
|  ||  
|-
|-
| sample space || experiment
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 304: Line 343:
|  ||  
|  ||  
|-
|-
| stochastic process, random process || random variable
| binomial distribution || binomial coefficient <number theory>; discrete probability distribution
|  ||  
|  ||  
|  ||  
|  ||  
Line 313: Line 352:
|  ||  
|  ||  
|-
|-
| tree diagram || probability space; event; independence
| discrete probability distribution  || probability distribution
|  ||  
|  ||  
|  ||  
|  ||  
Line 322: Line 361:
|  ||  
|  ||  
|-
|-
| trial || experiment
| logistic distribution || probability distribution <probability theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 331: Line 370:
|  ||  
|  ||  
|-
|-
| uncorrelatedness || covariance
| normal distribution, Gauss distribution, Laplace–Gauss distribution || probability distribution; random variable; arithmetic mean; expected value
|  ||  
|  ||  
|  ||  
|  ||  

Revision as of 22:36, 12 February 2022

This is a part of the Sci–Tech Index, a project for science and technology learners.

In progress.

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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
probability theory 概率论 gàilǜ lùn Wahrscheinlichkeitstheorie [f], Wahrscheinlichkeitsrechnung [f], Probabilistik [f] théorie [f] des probabilités 確率論 か↑くりつ↓ろん тео́рия вероя́тностей
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
determinism
dependent variable variable <algebra>
deterministic system determinism
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>
indeterminism
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
probability distribution
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

1024px-Dice Distribution (bar).svg.png

* Appendix *

Adjective & Adjective Phrase; Verb & Verb Phrase

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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
independent independence
pairwise independent pairwise independence

Symbol

symbol eng-Latn-US: concept cmn-Hans-CN: 概念 cmn-Latn.Pinyin-CN: gàiniàn deu-Latn-DE: Begriff [m] fra-Latn-FR: concept [m] jpn-Jpan-JP: 概念 jpn-Hrkt-JP: が↓いねん rus-Cyrl-RU: конце́пция
p probability
S, Ω, U sample space

Process

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

branch name link language public license

Unmaintained! Moved to a Codeberg repository. Use Foam with VSCodium to visualise the content.

Sci–Tech Index

40px-3-4.svg.png Introduction

Philosophy

40px-1-4.svg.png Logic

40px-0-4.svg.png Metaphysics

Mathematics

40px-2-4.svg.png Mathematical Logic

40px-0-4.svg.png Category Theory


40px-2-4.svg.png Number Theory


40px-1-4.svg.png Algebra


40px-1-4.svg.png Geometry


40px-1-4.svg.png Probability Theory

40px-1-4.svg.png Statistics

40px-1-4.svg.png Information Theory


40px-1-4.svg.png Mathematical Analysis


40px-1-4.svg.png Topology

40px-1-4.svg.png Discrete Mathematics


40px-1-4.svg.png Computational Science

Physics

40px-1-4.svg.png Mechanics

└ 40px-1-4.svg.png Structural Analysis

└ 40px-1-4.svg.png Tribology

40px-1-4.svg.png Thermodynamics


40px-1-4.svg.png Optics


40px-1-4.svg.png Acoustics


40px-1-4.svg.png Electromagnetism

40px-1-4.svg.png Electronic Component


40px-0-4.svg.png Metrology

└ 40px-1-4.svg.png Unit of Measurement


40px-0-4.svg.png Particle Physics

Biology

40px-1-4.svg.png Cell Biology

Chemistry

40px-1-4.svg.png Chemical Element

40px-0-4.svg.png Material Science

└ 40px-0-4.svg.png Metallurgy

40px-0-4.svg.png Computer Science
40px-1-4.svg.png Technical Drawing
Mechanical Engineering

40px-0-4.svg.png Mechanism

40px-1-4.svg.png Machine Element

40px-1-4.svg.png Metalworking


40px-0-4.svg.png Hydraulics and Pneumatics


40px-1-4.svg.png Theory of Inventive Problem Solving

Software Engineering

40px-1-4.svg.png Computer Language

Systems Science

40px-0-4.svg.png Chaos Theory

40px-0-4.svg.png Cybernetics

└ 40px-0-4.svg.png Control Theory

40px-0-4.svg.png Robotics

40px-0-4.svg.png Anthropology

40px-0-4.svg.png Psychology
40px-0-4.svg.png Linguistics

Sci–Tech Index is under the CC BY 4.0 license

Retrieved from "https://polyglotclub.com/wiki/index.php?title=Language/Multiple-languages/Vocabulary/Probability-Theory&oldid=127719"