绝对极小值和最大值问题与阶/spl α /的Renyi熵

ITS'98 Proceedings. SBT/IEEE International Telecommunications Symposium (Cat. No.98EX202) Pub Date : 1998-08-09 DOI:10.1109/ITS.1998.713124

M.S. Alencar, F.M. Assis

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引用次数: 2

摘要

阶/spl alpha/的Renyi熵可以提供概率分布p=min{p/sub 1/，p/sub 2/，…的最小值和最大值的信息。，p/sub N/}，p =max(p/sub 1/，p/sub 2/，…), / an /页)。给定概率分布的绝对最小值与Renyi熵的极限有关，如/spl alpha//spl rarr/-/spl infin/，或p=2/sup -lim/spl alpha//spl rarr/-/spl infin/H/spl alpha/(p)/。绝对最大阀值由p=2/sup -lim/spl alpha//spl rarr//spl infin/H/spl alpha/(p)/给出。

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The absolute minimum and maximum value problem and the Renyi entropy of order /spl alpha/

The Renyi entropy of order /spl alpha/ can provide information on the minimum and maximum values of a probability distribution p=min{p/sub 1/,p/sub 2/,...,p/sub N/} and p=max(p/sub 1/,p/sub 2/,...,p/sub N/). The absolute minimum valve of a given probability distribution is shown to be related to the limit of the Renyi entropy, as /spl alpha//spl rarr/-/spl infin/, or p=2/sup -lim/spl alpha//spl rarr/-/spl infin/H/spl alpha/(P)/. The absolute maximum valve is given by p=2/sup -lim/spl alpha//spl rarr//spl infin/H/spl alpha/(P)/.

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ITS'98 Proceedings. SBT/IEEE International Telecommunications Symposium (Cat. No.98EX202)

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