Rényi Entropy of k-Records
In this paper, we discuss on Rényi entropy of k-records arising from any continuous distribution in detail. The relevance of constructing k-records from random sample in the context of information contained in a random variable has been described in the study. Some important properties of Rényi ent...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Instituto Nacional de Estatística | Statistics Portugal
2022-08-01
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| Series: | Revstat Statistical Journal |
| Subjects: | |
| Online Access: | https://revstat.ine.pt/index.php/REVSTAT/article/view/385 |
| Summary: | In this paper, we discuss on Rényi entropy of k-records arising from any continuous distribution in detail. The relevance of constructing k-records from random sample in the context of information contained in a random variable has been described in the study. Some important properties of Rényi entropy of k-records have been derived as well. Two relevant applications of Rényi entropy of k-records are discussed in this work. Finally, a simple estimator is proposed for Rényi entropy of k-records and a numerical illustration has been carried out using a real life data set.
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| ISSN: | 1645-6726 2183-0371 |