Title
The Blackwell relation defines no lattice
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.
Year
DOI
Venue
2014
10.1109/ISIT.2014.6875280
Information Theory
Keywords
DocType
Volume
information theory,statistics,Blackwell relation,Blackwell theorem,information channel,preorder equivalence
Journal
abs/1401.3146
Citations 
PageRank 
References 
2
0.52
0
Authors
2
Name
Order
Citations
PageRank
Nils Bertschinger120.52
Johannes Rauh215216.63