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Statistica Sinica 27 (2017), 1725-1729

THE ORDERING OF SHANNON ENTROPIES
Ming-Tien Tsai
Academia Sinica

Abstract: Via the transformation of the convex ordering of distributions to the Lorenz ordering of new distributions, the information ordering of Shannon entropies is established. The measure of the difference between two Shannon entropies enjoys some merits.

Key words and phrases: Convex ordering, Lorenz ordering.

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