DocumentCode :
1780393
Title :
The Blackwell relation defines no lattice
Author :
Bertschinger, Nils ; Rauh, Johannes
Author_Institution :
Max Planck Inst. for Math. in the Sci., Leipzig, Germany
fYear :
2014
fDate :
June 29 2014-July 4 2014
Firstpage :
2479
Lastpage :
2483
Abstract :
Blackwell´s theorem shows the equivalence of two preorders on the set of information channels. Here, we restate, and slightly generalize, his result in terms of random variables. Furthermore, we prove that the corresponding partial order is not a lattice; that is, least upper bounds and greatest lower bounds do not exist.
Keywords :
information theory; statistics; Blackwell relation; Blackwell theorem; information channel; preorder equivalence; Generators; Information theory; Lattices; Markov processes; Random variables; Upper bound; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory (ISIT), 2014 IEEE International Symposium on
Conference_Location :
Honolulu, HI
Type :
conf
DOI :
10.1109/ISIT.2014.6875280
Filename :
6875280
Link To Document :
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