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Kybernetika 44(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.


Keywords: genetic entropy; $\alpha $-entropy; random partitions; complete convergence;


AMS: 94A17; 62G30; 60F15;


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BIB TeX

@article{kyb:2008:1:75-94,

author = {Bieniek, Milena and Szynal, Dominik },

title = {On Entropies for Random Partitions of the Unit Segment},

journal = {Kybernetika},

volume = {44},

year = {2008},

number = {1},

pages = {75-94}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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