Kybernetika 44 no. 1, 75-94, 2008

On entropies for random partitions of the unit segment

Milena Bieniek and Dominik Szynal

Abstract:

We prove the complete convergence of Shannon's, paired, genetic and $\alpha $-entropy for random partitions of the unit segment. We also derive exact expressions for expectations and variances of the above entropies using special functions.