An Extremal Inequality Motivated by Multiterminal Information Theoretic Problems
<|reference_start|>An Extremal Inequality Motivated by Multiterminal Information Theoretic Problems: We prove a new extremal inequality, motivated by the vector Gaussian broadcast channel and the distributed source coding with a single quadratic distortion constraint problems. As a corollary, this inequality yields a generalization of the classical entropy-power inequality (EPI). As another corollary, this inequality sheds insight into maximizing the differential entropy of the sum of two dependent random variables.<|reference_end|>
@article{liu2006an,
    title={An Extremal Inequality Motivated by Multiterminal Information Theoretic
  Problems},
    author={Tie Liu and Pramod Viswanath},
    journal={arXiv preprint arXiv:cs/0604025},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0604025},
    primaryClass={cs.IT math.IT}
}