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Part 1313-32
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Part 13: Information Science·84 entries
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conditional entropy, mean conditional information content, average conditional information content

URNurn:iec:std:iec:80000-13:2025-02:::13-32
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https://metanorma.github.io/isq-smart/quantities/part-13/t13-32
urn:iec:std:iec:80000-13:2025-02:::13-32
ISQ Identifiers
ISO
urn:iso:std:iso:80000:-13:ed-2008:en:item:13-32
IEC
urn:iec:std:iec:80000-13:2025-02:::item:13-32
Designations
ENconditional entropy, mean conditional information content, average conditional information content
FRentropie conditionnelle, quantité d'information conditionnelle moyenne
Symbol
H ( x \ | y )
Notation systems
Rendered
H ( x \ | y )
AsciiMath
H(x\|y)
LaTeX
H ( x \ | y )

Definition

EN

H ( x \ | y ) = ∑ i = 1 n ∑ j = 1 m p ( x i , y j ) I ( x i \ | y j )

where p ( x i , y j ) is the joint probability of events x i and y j , and I ( x i \ | y j ) is conditional information content (t13-31,item 13-31)

FR

H ( x \ | y ) = ∑ i = 1 n ∑ j = 1 m p ( x i , y j ) I ( x i \ | y j )

où p ( x i , y j ) est la probabilité de réalisation simultanée des événements

x i et y j , et I ( x i \ | y j ) est la quantité d'information conditionnelle (t13-31,13-31)

Units

S h
shannon
View related quantities →
H a r t
hartley
View related quantities →
n a t
natural unit of information
View related quantities →

Notes

EN

See IEC 60050-171,droploc%locality:item="171-07-23".

FR

Voir l'IEC 60050-171,droploc%locality:item="171-07-23".

Referenced by

equivocationirrelevance
Concept HierarchyPendrill (2024)
1dimensionless quantitiesLevel 0 · Kind

Ontology
isq:Quantitysmart:TermEntry

Class Hierarchy

smart:Entitysmart:TermEntryisq:Quantity

A physical quantity as defined in ISO/IEC 80000, with associated symbols, definitions, and units of measurement.

Instance IRI

isq:t13-32

Properties

isq:QuantityShape
PropertyValue
rdf:type
isq:Quantitysmart:TermEntry
dcterms:identifier
13-32
skosxl:prefLabel
"conditional entropy, mean conditional information content, average conditional information content"@en
skosxl:altLabel
"H(x\|y)"@en
skos:definition
stem:[H(x\|y) = sum_{i=1}^n sum_{j=1}^m p(x_i,y_j) I(x_i\|y_j)] where stem:[p(x_i,y_j)] is the joint probability of eve…
skos:note
See <<iec60050-171,droploc%locality:item="171-07-23">>.
isq:hasUnit
Sh (shannon)Hart (hartley)nat (natural unit of information)
isq:hasDimension
isq:Dimension
smart:hasBindingnessType
bindingness-type:normative
dcterms:isPartOf
isq:part-13

Related Entities

isq:QuantityShape isq:part-13 isq:Unit isq:Dimension isq:hasDimension smart:TermEntry