A general definition of conditional information and its application to ergodic decomposition
نویسندگان
چکیده
منابع مشابه
A general definition of conditional information and its application to ergodic decomposition∗
We discuss a simple definition of conditional mutual information (CMI) for fields and σ-fields. The new definition is applicable also in nonregular cases, unlike the well-known but more restricted definition of CMI by Dobrushin. Certain properties of the two notions of CMI and their equivalence for countably generated σ-fields are established. We also consider an application, which concerns the...
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ژورنال
عنوان ژورنال: Statistics & Probability Letters
سال: 2009
ISSN: 0167-7152
DOI: 10.1016/j.spl.2009.01.016