About: Stochastic transitivity

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Stochastic transitivity Goto Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/c/66y6ELL9T

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. Tightly matched players might have a higher chance of observing this inversion while players with large differences in thei

Attributes	Values
rdfs:label	Stochastic transitivity (en)
rdfs:comment	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. Tightly matched players might have a higher chance of observing this inversion while players with large differences in thei (en)
dct:subject	Transitive relations
Wikipage page ID	61340435 (xsd:integer)
Wikipage revision ID	1123233687 (xsd:integer)
Link from a Wikipage to another Wikipage	Bradley–Terry model Utilitarianism Debreu theorems Decision theory Mathematics TrueSkill Elo rating system Transitive relations Stochastic Transitive relation Law of comparative judgment Learning to rank Von Neumann–Morgenstern utility theorem Nontransitive game Pairwise comparison Rational choice theory Preference Gérard Debreu Invertible function Luce's choice axiom NP-hardness Thurstonian model Increasing function
sameAs	Stochastic transitivity Stochastic transitivity
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Rp dbt:Clarify_span
has abstract	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. Tightly 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 seldom. 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 on a set is called transitive, in the standard non-stochastic sense, if and implies for all members of . Stochastic versions of transitivity include: 1. * Weak Stochastic Transitivity (WST): and implies , for all ; 2. * Strong Stochastic Transitivity (SST): and implies , for all ; 3. * Linear Stochastic Transitivity (LST): , for all , where is some increasing and symmetric function (called a comparison function), and is some mapping from the set of alternatives to the real line (called a merit function). (en)
prov:wasDerivedFrom	wikipedia-en:Stochastic_transitivity?oldid=1123233687&ns=0
page length (characters) of wiki page	15741 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Stochastic_transitivity
is Link from a Wikipage to another Wikipage of	Decision theory Intransitive game Transitive relation Pairwise comparison Thurstonian model
is foaf:primaryTopic of	wikipedia-en:Stochastic_transitivity

Faceted Search & Find service v1.17_git147 as of Sep 06 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3331 as of Sep 2 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 52 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software