arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1401.3146cs.ITmath.ITmath.STstat.TH
收藏

Blackwell关系没有定义任何格

The Blackwell relation defines no lattice

Nils Bertschinger, Johannes Rauh

摘要:

Blackwell定理证明了信息通道集合上两个前序的等价性。在这里,我们重申,并略有推广,他的结果在随机变量。此外,我们还证明了相应的偏序不是格,即不存在最小上界和最大下界。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑