Geodesic
On entropies for random partitions of the unit segment
Kybernetika, Tome 44 (2008) no. 1, pp. 75-94 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We prove the complete convergence of Shannon’s, paired, genetic and α-entropy for random partitions of the unit segment. We also derive exact expressions for expectations and variances of the above entropies using special functions.
We prove the complete convergence of Shannon’s, paired, genetic and α-entropy for random partitions of the unit segment. We also derive exact expressions for expectations and variances of the above entropies using special functions.
Classification : 60F15, 62G30, 94A17
Keywords: genetic entropy; α-entropy; random partitions; complete convergence 
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Bieniek, Milena; Szynal, Dominik. On entropies for random partitions of the unit segment. Kybernetika, Tome 44 (2008) no. 1, pp. 75-94. http://geodesic.mathdoc.fr/item/KYB_2008_44_1_a6/

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