Geodesic
On entropies for random partitions of the unit segment
Kybernetika, Tome 44 (2008) no. 1, pp. 75-94.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{KYB_2008__44_1_a6,
     author = {Bieniek, Milena and Szynal, Dominik},
     title = {On entropies for random partitions of the unit segment},
     journal = {Kybernetika},
     pages = {75--94},
     publisher = {mathdoc},
     volume = {44},
     number = {1},
     year = {2008},
     mrnumber = {2405057},
     zbl = {1149.94003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2008__44_1_a6/}
}
TY  - JOUR
AU  - Bieniek, Milena
AU  - Szynal, Dominik
TI  - On entropies for random partitions of the unit segment
JO  - Kybernetika
PY  - 2008
SP  - 75
EP  - 94
VL  - 44
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2008__44_1_a6/
LA  - en
ID  - KYB_2008__44_1_a6
ER  - 
%0 Journal Article
%A Bieniek, Milena
%A Szynal, Dominik
%T On entropies for random partitions of the unit segment
%J Kybernetika
%D 2008
%P 75-94
%V 44
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2008__44_1_a6/
%G en
%F KYB_2008__44_1_a6
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/