Journal
IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 49, Issue 12, Pages 3261-3267Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2003.820037
Keywords
balanced information inequalities; entropy; group inequalities; quasi-uniform random variables
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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.
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