# Definitions for stochastic transitivitysto·chas·tic tran·si·tiv·i·ty

### Wikipedia(0.00 / 0 votes)Rate this definition:

1. Stochastic transitivity

Stochastic transitivity models are stochastic versions of the transitivity property of binary relations studied in mathematics. Several models of stochastic transitivity exist and have been used to describe the probabilities involved in experiments of paired comparisons, specifically in scenarios where transitivity is expected, however, empirical observations of the binary relation is probabilistic. For example, players' skills in a sport might be expected to be transitive, i.e. "if player A is better than B and B is better than C, then player A must be better than C"; however, in any given match, a weaker player might still end up winning with a positive probability. Tighly matched players might have a higher chance of observing this inversion while players with large differences in their skills might only see these inversions happen seldomly. Stochastic transitivity models formalize such relations between the probabilities (e.g. of an outcome of a match) and the underlying transitive relation (e.g. the skills of the players). A binary relation ≿ {\textstyle \succsim } on a set A {\displaystyle {\mathcal {A}}} is called transitive, in the standard non-stochastic sense, if a ≿ b {\displaystyle a\succsim b} and b ≿ c {\displaystyle b\succsim c} implies a ≿ c {\displaystyle a\succsim c} for all members a , b , c {\displaystyle a,b,c} of A {\displaystyle {\mathcal {A}}} . Stochastic versions include of transitivity include:

### Numerology

1. Chaldean Numerology

The numerical value of stochastic transitivity in Chaldean Numerology is: 4

2. Pythagorean Numerology

The numerical value of stochastic transitivity in Pythagorean Numerology is: 6

### Translation

#### Find a translation for the stochastic transitivity definition in other languages:

Select another language:

• - Select -
• 简体中文 (Chinese - Simplified)
• Español (Spanish)
• Esperanto (Esperanto)
• 日本語 (Japanese)
• Português (Portuguese)
• Deutsch (German)
• العربية (Arabic)
• Français (French)
• Русский (Russian)
• 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)

## Citation

#### Use the citation below to add this definition to your bibliography:

Style:MLAChicagoAPA

"stochastic transitivity." Definitions.net. STANDS4 LLC, 2021. Web. 29 Nov. 2021. <https://www.definitions.net/definition/stochastic+transitivity>.

## Are we missing a good definition for stochastic transitivity? Don't keep it to yourself...

### Browse Definitions.net

#### Free, no signup required:

Get instant definitions for any word that hits you anywhere on the web!

#### Free, no signup required:

Get instant definitions for any word that hits you anywhere on the web!

### Quiz

#### Are you a words master?

»
##### offensive to the mind
• A. pecuniary
• B. bristly
• C. repugnant
• D. irascible