| Title:
|
Bounds on the information divergence for hypergeometric distributions (English) |
| Author:
|
Harremoës, Peter |
| Author:
|
Matúš, František |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
56 |
| Issue:
|
6 |
| Year:
|
2020 |
| Pages:
|
1111-1132 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The hypergeometric distributions have many important applications, but they have not had sufficient attention in information theory. Hypergeometric distributions can be approximated by binomial distributions or Poisson distributions. In this paper we present upper and lower bounds on information divergence. These bounds are important for statistical testing and for a better understanding of the notion of exchangeability. (English) |
| Keyword:
|
binomial distribution |
| Keyword:
|
hypergeometric distribution |
| Keyword:
|
information divergence |
| Keyword:
|
inequalities |
| MSC:
|
62E17 |
| MSC:
|
94A17 |
| idMR:
|
MR4199906 |
| DOI:
|
10.14736/kyb-2020-6-1111 |
| . |
| Date available:
|
2021-01-08T08:36:44Z |
| Last updated:
|
2021-03-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148502 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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[5] Harremoës, P.: Mutual information of contingency tables and related inequalities..In: 2014 IEEE International Symposium on Information Theory, IEEE 2014, pp. 2474-2478. |
| Reference:
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| Reference:
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| Reference:
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| . |
