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Results on the solutions of maximum weighted Renyi entropy problems

Information Theory 2015-10-27 v1 math.IT Probability

Abstract

In this paper, following standard arguments, the maximum Renyi entropy problem for the weighted case is analyzed. We verify that under some constrains on weight function, the Student-r and Student-t distributions maximize the weighted Renyi entropy. Furthermore, an extended version of the Hadamard inequality is derived.

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Cite

@article{arxiv.1510.07461,
  title  = {Results on the solutions of maximum weighted Renyi entropy problems},
  author = {Salimeh Yasaei Sekeh},
  journal= {arXiv preprint arXiv:1510.07461},
  year   = {2015}
}

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17 pages