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A note on maximal antichains in ordered sets

✍ Scribed by R. Maltby; S. Williamson

Publisher
Springer Netherlands
Year
1992
Tongue
English
Weight
611 KB
Volume
9
Category
Article
ISSN
0167-8094

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πŸ“œ SIMILAR VOLUMES

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✍ D. Kleitman; M. Edelberg; D. Lubell πŸ“‚ Article πŸ“… 1971 πŸ› Elsevier Science 🌐 English βš– 598 KB

Abstmt. The following general theorem is proven: Given a partially ordered set and a group Gf prmu tations among itu elements which preserves the order relation, there is a set of elements no twc? c&red acalled an independpnt set, or an antichain) of maximal size which consists of mmplete orbits und

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Let 16k,dk,+.. d k,, be integers and let S denote the set of all vectors x =(x1, . . . , x,) with integral coordinates sz@@ing 05% "4, i = 1,2, . . . r n; equivalently, .S is the set of ail subset of' a mtitiset eonsistiitg of & elements of type i, i = 1,2,. . . , n. A subset X of 3" is an antichain

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The purpose of this note is to show that the posterior measure under a partial prior information, which is constructed on the maximized likelihood functionjs compatible with the Bayesian properties of the likelihood sets.