What does pairwise independence mean?
Definitions for pairwise independence
pair·wise in·de·pen·dence
This dictionary definitions page includes all the possible meanings, example usage and translations of the word pairwise independence.
Wikipedia
Pairwise independence
In probability theory, a pairwise independent collection of random variables is a set of random variables any two of which are independent. Any collection of mutually independent random variables is pairwise independent, but some pairwise independent collections are not mutually independent. Pairwise independent random variables with finite variance are uncorrelated. A pair of random variables X and Y are independent if and only if the random vector (X, Y) with joint cumulative distribution function (CDF) F X , Y ( x , y ) {\displaystyle F_{X,Y}(x,y)} satisfies F X , Y ( x , y ) = F X ( x ) F Y ( y ) , {\displaystyle F_{X,Y}(x,y)=F_{X}(x)F_{Y}(y),} or equivalently, their joint density f X , Y ( x , y ) {\displaystyle f_{X,Y}(x,y)} satisfies f X , Y ( x , y ) = f X ( x ) f Y ( y ) . {\displaystyle f_{X,Y}(x,y)=f_{X}(x)f_{Y}(y).} That is, the joint distribution is equal to the product of the marginal distributions.Unless it is not clear in context, in practice the modifier "mutual" is usually dropped so that independence means mutual independence. A statement such as " X, Y, Z are independent random variables" means that X, Y, Z are mutually independent.
Numerology
Chaldean Numerology
The numerical value of pairwise independence in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of pairwise independence in Pythagorean Numerology is: 9
Translations for pairwise independence
From our Multilingual Translation Dictionary
- paarsgewijze onafhankelijkheidDutch
Get even more translations for pairwise independence »
Translation
Find a translation for the pairwise independence definition in other languages:
Select another language:
- - Select -
- 简体中文 (Chinese - Simplified)
- 繁體中文 (Chinese - Traditional)
- Español (Spanish)
- Esperanto (Esperanto)
- 日本語 (Japanese)
- Português (Portuguese)
- Deutsch (German)
- العربية (Arabic)
- Français (French)
- Русский (Russian)
- ಕನ್ನಡ (Kannada)
- 한국어 (Korean)
- עברית (Hebrew)
- Gaeilge (Irish)
- Українська (Ukrainian)
- اردو (Urdu)
- Magyar (Hungarian)
- मानक हिन्दी (Hindi)
- Indonesia (Indonesian)
- Italiano (Italian)
- தமிழ் (Tamil)
- Türkçe (Turkish)
- తెలుగు (Telugu)
- ภาษาไทย (Thai)
- Tiếng Việt (Vietnamese)
- Čeština (Czech)
- Polski (Polish)
- Bahasa Indonesia (Indonesian)
- Românește (Romanian)
- Nederlands (Dutch)
- Ελληνικά (Greek)
- Latinum (Latin)
- Svenska (Swedish)
- Dansk (Danish)
- Suomi (Finnish)
- فارسی (Persian)
- ייִדיש (Yiddish)
- հայերեն (Armenian)
- Norsk (Norwegian)
- English (English)
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Citation
Use the citation below to add this definition to your bibliography:
Style:MLAChicagoAPA
"pairwise independence." Definitions.net. STANDS4 LLC, 2024. Web. 5 Nov. 2024. <https://www.definitions.net/definition/pairwise+independence>.
Discuss these pairwise independence definitions with the community:
Report Comment
We're doing our best to make sure our content is useful, accurate and safe.
If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.
Attachment
You need to be logged in to favorite.
Log In