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AVERAGE INFORMATION CONTENT [2 records]

Record 1 - external organization data 2014-08-21

English

Subject field(s)
  • Compartment - ISO/IEC JTC 1 Information Technology Vocabulary
Universal entry(ies)
16.03.03 (2382)
ISO/IEC standard entry number
DEF

mean value of the information content of the events in a finite set of mutually exclusive and jointly exhaustive events, that is in mathematical notation H(X) = [...] p(xi)l(xi) = [...] p(xi)log 1/p(xi) where X = {x1 ... xn} is the set of events xi (i = 1 ... n), l(xi) are the information contents of the events xi, and p(xi), the probabilities of the occurrences of these events, subject to [...] p(xi) = 1

OBS

Example: Let X = {a,b,c} be a set of three events and let p(a) = 0,5, p(b) = 0,25 and p(c) = 0,25 be the probabilities of their occurrences. The entropy of this set is H(X) = p(a) l(a) + p(b) l(b) + p(c) l(c) = 1,5 Sh

OBS

entropy; average information content; negentropy: terms and definition standardized by ISO/IEC [ISO/IEC 2382-16:1996].

French

Domaine(s)
  • Tiroir - ISO/CEI JTC 1 Vocabulaire des technologies de l'information
Entrée(s) universelle(s)
16.03.03 (2382)
ISO/IEC standard entry number
DEF

espérance mathématique de la quantité d'information des événements d'un ensemble exhaustif d'événements s'excluant mutuellement, soit mathématiquement H(X) = [...] p(xi)l(xi) = [...] p(xi)log 1/p(xi) où X = {x1 ... xn} est l'ensemble des événements xi (i = 1 ... n), l(xi) sont les quantités d'information de ces événements et p(xi) leurs probabilités de réalisation, avec [...] p(xi) = 1

OBS

Exemple : Soit X = {a,b,c) un jeu de trois événements et p(a) = 0,5, p(b) = 0,25 et p(c) = 0,25 leurs probabilités de réalisation. L'entropie de ce jeu est H(X) = p(a) l(a) + p(b) l(b) + p(c) l(c) = 1,5 Sh

OBS

entropie; néguentropie : termes et définition normalisés par l'ISO/CEI [ISO/IEC 2382-16:1996].

Spanish

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Record 2 2012-10-01

English

Subject field(s)
  • Information Theory
  • Computer Mathematics
DEF

The mean value of the information measure conveyed by the occurrence of any one of a finite number of mutually exclusive and jointly exhaustive events of definite probabilities.

OBS

negentropy. Deprecated term for entropy.

OBS

entropy; mean information content; average information content: terms and definition officially approved by the Government EDP (Electronic Data Processing) Standards Committee (GESC).

French

Domaine(s)
  • Théorie de l'information
  • Mathématiques informatiques
DEF

Valeur moyenne de la mesure de l'information apportée par la réalisation d'un événement quelconque d'un ensemble fini et exhaustif d'événements s'excluant mutuellement et de probabilités définies.

OBS

entropie : terme et définition normalisés par l'ISO; uniformisés par le Comité des normes gouvernementales en informatique (CNGI).

Spanish

Campo(s) temático(s)
  • Teoría de la información
  • Matemáticas para computación
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