Referenced Items are not available for this document.
We show that for a special class of probability distributions that we call contoured distributions, information-theoretic invariants and inequalities are equivalent to geometric invariants and inequalities of bodies in Euclidean space associated with the distributions. Using this, we obtain characterizations of contoured distributions with extremal Shannon and Renyi entropy. We also obtain a new reverse information-theoretic inequality for contoured distributions.
Published in:
Information Theory, IEEE Transactions on
(Volume:48
,
Issue:
8
)
Date of Publication: Aug 2002
- Page(s):
- 2377 - 2383
- ISSN :
- 0018-9448
- INSPEC Accession Number:
- 7345263
- Digital Object Identifier :
- 10.1109/TIT.2002.800496
- Date of Current Version :
- 07 August 2002
- Issue Date :
- Aug 2002
- Sponsored by :
- IEEE Information Theory Society
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