## Tags : Sharma-Mittal entropy

Entries in this Tags : 1logs Showing : 1 - 1 / 1

## Dec 20, 2011

### A closed-form expression for the Sharma-Mittal entropy of exponential families

Post @ 11:52:26 | Sharma-Mittal entropy

The Sharma-Mittal entropies generalize the celebrated Shannon, Renyi and Tsallis entropies. We report a closed-form formula for the Sharma?Mittal entropies and relative entropies for arbitrary exponential family distributions. We explicitly instantiate the formula for the case of the multivariate Gaussian distributions and discuss its estimation.


@article{1751-8121-45-3-032003,
author={Frank Nielsen and Richard Nock},
title={A closed-form expression for the Sharma-Mittal entropy of exponential families},
journal={Journal of Physics A: Mathematical and Theoretical},
volume={45},
number={3},
pages={032003},
url={http://stacks.iop.org/1751-8121/45/i=3/a=032003},
year={2012}
}