Joint Range of Rényi Entropies

Details Joint Range of Rényi Entropies Joint Range of Rényi Entropies

2009-04-16

arxiv.org/abs/0904.2477v1

Computer Science

Information Theory

Scientific paper

The exact range of the joined values of several R\'{e}nyi entropies is
determined. The method is based on topology with special emphasis on the
orientation of the objects studied. Like in the case when only two orders of
R\'{e}nyi entropies are studied one can parametrize upper and lower bounds but
an explicit formula for a tight upper or lower bound cannot be given.

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