Results on the solutions of maximum weighted Renyi entropy problems

2015/10/26 by Salimeh Yasaei Sekeh, Sekeh, Salimeh Yasaei
Computer Science · Mathematics · #60A10 #60B05 #60C05 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Probability (math.PR) #cs.IT #math.IT #math.PR #msc:60A10 #msc:60B05 #msc:60C05

paper · pdf · doi:10.48550/arxiv.1510.07461

17 pages

arxiv created 2015/10/26 · arxiv updated 2015/10/27

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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