Axiomatic Characterizations of Information Measures

نویسنده

  • Imre Csiszár
چکیده

Axiomatic characterizations of Shannon entropy, Kullback I-divergence, and some generalized information measures are surveyed. Three directions are treated: (A) Characterization of functions of probability distributions suitable as information measures. (B) Characterization of set functions on the subsets of {1, . . . , N} representable by joint entropies of components of an N -dimensional random vector. (C) Axiomatic characterization of MaxEnt and related inference rules. The paper concludes with a brief discussion of the relevance of the axiomatic approach for information theory.

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عنوان ژورنال:
  • Entropy

دوره 10  شماره 

صفحات  -

تاریخ انتشار 2008