Abstract
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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