Renyi Entropy of k-Records: Properties and Applications
* In this paper, we discuss on Renyi 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 Renyi en...
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| Published in | Revstat Vol. 20; no. 4; p. 481 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Instituto Nacional de Estatistica
15.07.2022
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| Online Access | Get full text |
| ISSN | 1645-6726 |
| DOI | 10.57805/revstat.v20i4.385 |
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| Summary: | * In this paper, we discuss on Renyi 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 Renyi entropy of k-records have been derived as well. Two relevant applications of Renyi entropy of k-records are discussed in this work. Finally, a simple estimator is proposed for Renyi entropy of k-records and a numerical illustration has been carried out using a real life data set. Keywords: * characterization; k-records; monotone property; Renyi entropy ordering; Renyi divergence; uniform distribution. AMS Subject Classification: * 62B10, 94A15, 94A17. |
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| ISSN: | 1645-6726 |
| DOI: | 10.57805/revstat.v20i4.385 |