Extended inequalities for weighted Renyi entropy involving generalized Gaussian densities

Salimeh Yasaei Sekeh

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arXiv · 1509.02190

Extended inequalities for weighted Renyi entropy involving generalized Gaussian densities

Salimeh Yasaei Sekeh

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Abstract

In this paper the author analyses the weighted Renyi entropy in order to derive several inequalities in weighted case. Furthermore, using the proposed notions $\alpha$-th generalized derivation and ($\alpha$; p)-th weighted Fisher information, extended versions of the moment-entropy, Fisher information and Cramer-Rao inequalities in terms of generalized Gaussian densities are given.

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Salimeh Yasaei Sekeh. 2015-09-07. Extended inequalities for weighted Renyi entropy involving generalized Gaussian densities. https://arxiv.org/abs/1509.02190

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