On balanced information inequalities
Date
2002
Authors
Chan, T.H.L.
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Advisors
Journal Title
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Volume Title
Type:
Conference paper
Citation
IEEE Transactions on Information Theory, 2002, vol.49, iss.12, pp.3261-3350
Statement of Responsibility
Conference Name
: Xian)
Abstract
In this correspondence, we are interested In linear information inequalities, both discrete and continuous ones. We show that every discrete information inequality is associated with a "balanced" information inequality and a set of "residual weights." To prove the inequality, it is necessary and sufficient to prove that its "balanced" version is valid and all its residual weights are nonnegative. For a continuous information inequality, we prove that it is valid if and only if its discrete counterpart is balanced and valid.