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arXiv · 1406.0111

R\'enyi entropy and complexity measure for skew-gaussian distributions and related families

Javier E. Contreras-Reyes
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Abstract

In this paper, we provide the R\'enyi entropy and complexity measure for a novel, flexible class of skew-gaussian distributions and their related families, as a characteristic form of the skew-gaussian Shannon entropy. We give closed expressions considering a more general class of closed skew-gaussian distributions and the weighted moments estimation method. In addition, closed expressions of R\'enyi entropy are presented for extended skew-gaussian and truncated skew-gaussian distributions. Finally, additional inequalities for skew-gaussian and extended skew-gaussian R\'enyi and Shannon entropies are reported.

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Javier E. Contreras-Reyes. 2014-05-31. R\'enyi entropy and complexity measure for skew-gaussian distributions and related families. https://doi.org/10.1016/j.physa.2015.03.083

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