| Title:
|
On entropies for random partitions of the unit segment (English) |
| Author:
|
Bieniek, Milena |
| Author:
|
Szynal, Dominik |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
75-94 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
genetic entropy |
| Keyword:
|
α-entropy |
| Keyword:
|
random partitions |
| Keyword:
|
complete convergence |
| MSC:
|
60F15 |
| MSC:
|
62G30 |
| MSC:
|
94A17 |
| idZBL:
|
Zbl 1149.94003 |
| idMR:
|
MR2405057 |
| . |
| Date available:
|
2009-09-24T20:32:26Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135835 |
| . |
| Reference:
|
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| Reference:
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