Representation for Measures of Information with the Branching Property

نویسنده

  • C. T. Ng
چکیده

The representation for measures of information which are symmetric, expansible, and have the branching property in the form of a sum is provided. This class of measures includes, in particular, Shannon's entropy, entropies of degree fi, Kullback's directed divergence, and Kerridge's inaccuracy. Rdnyi's entropy and information gain of order fl are, however, excluded from this class. The proof is based on an algebraic theorem concerning the representation of a two-place function by the superposition of a one-place function.

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عنوان ژورنال:
  • Information and Control

دوره 25  شماره 

صفحات  -

تاریخ انتشار 1974