« Bloc incomplet partiellement équilibré » : différence entre les versions
m (Remplacement de texte : « [https://www.isi-web.org/glossary?language=2 Source : ISI Glossaire ]↵↵[https://www.isi-web.org/glossary?language=2 Source : ISI Glossaire ] » par « [https://www.isi-web.org/glossary?language=2 Source : ISI Glossaire ] ») |
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==en construction== | |||
== Définition == | == Définition == | ||
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A partially balanced incomplete block design with n associate classes (PBIBD(n)) is a block design based on a v-set X with b blocks each of size k and with each element appearing in r blocks, such that there is an association scheme with n classes defined on X where, if elements x and y are ith associates, 1 ≤ i ≤ n, then they are together in precisely λi blocks. | A partially balanced incomplete block design with n associate classes (PBIBD(n)) is a block design based on a v-set X with b blocks each of size k and with each element appearing in r blocks, such that there is an association scheme with n classes defined on X where, if elements x and y are ith associates, 1 ≤ i ≤ n, then they are together in precisely λi blocks. | ||
==Sources== | ==Sources== | ||
[https://www.isi-web.org/glossary?language=2 Source : ISI Glossaire ] | [https://www.isi-web.org/glossary?language=2 Source : ISI Glossaire ] | ||
[ | [https://term2425.htm Source : ISI ] | ||
[https://en.wikipedia.org/wiki/Block_design Source : Wikipédia ] | [https://en.wikipedia.org/wiki/Block_design Source : Wikipédia ] | ||
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[[Catégorie:Statistiques]] | [[Catégorie:Statistiques]] | ||
[[Catégorie:ISI]] | [[Catégorie:ISI]] | ||
[[Catégorie:Vocabulaire]] | |||
Dernière version du 30 août 2024 à 14:06
en construction
Définition
Français
bloc incomplet partiellement équilibré
Anglais
partially balanced incomplete block design
A partially balanced incomplete block design with n associate classes (PBIBD(n)) is a block design based on a v-set X with b blocks each of size k and with each element appearing in r blocks, such that there is an association scheme with n classes defined on X where, if elements x and y are ith associates, 1 ≤ i ≤ n, then they are together in precisely λi blocks.
Sources
Contributeurs: Evan Brach, wiki
