Communications in Information and Systems
Volume 3 (2003)
On the tightness of the Zhang-Yeung inequality for Gaussian vectors
Pages: 41 – 46
The Zhang-Yeung unconditional inequality for Shannon entropies of discrete random variables can be extended to Gaussian variables. A necessary and sufficient condition for equality in the resulting inequality is presented.
entropy, inequality, information measure, mutual information
2010 Mathematics Subject Classification
Primary 94A17. Secondary 15A15.