On entropies for random partitions of the unit segment. (English) Zbl 1149.94003
Summary: 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.
MSC:
| 94A17 | Measures of information, entropy |
| 62G30 | Order statistics; empirical distribution functions |
| 60F15 | Strong limit theorems |
References:
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