Some applications of Kullback-Leibler and Jeffreys’ divergences in multinomial populations
| dc.authorid | 0000-0003-4094-7664 | en_US |
| dc.contributor.author | Evren, Atif Ahmet | |
| dc.date.accessioned | 2020-12-21T08:37:46Z | |
| dc.date.available | 2020-12-21T08:37:46Z | |
| dc.date.issued | 2012 | en_US |
| dc.department | Selçuk Üniversitesi | en_US |
| dc.description.abstract | Some of the entropy measures proposed are Shannon entropy(1948), Rényi entropy (1961), Havrda&Charvát entropy(1967), and Tsallis entropy (1988). The limit of Rényi divergence is relative entropy (or Kullback-Leibler divergence) which is a measure of discrepancy between two statistical hypotheses or two probability distributions. Jeffreys’ divergence is a measure of difficulty of making a discrimination between two probability distributions. These divergence measures are related to some chi-square distributions asymptotically such that they can be used in some hypothesis tests. In this study I try to show that entropy based statistics like Kullback-Leibler divergence and Jeffreys’ divergence can be used in some statistical hypothesis tests for multinomial populations by some examples. | en_US |
| dc.identifier.citation | Evren, A. A. (2012). Some applications of Kullback-Leibler and Jeffreys’ divergences in multinomial populations. Journal of Selcuk University Natural and Applied Science, 1, (4), 48-58. | en_US |
| dc.identifier.endpage | 58 | en_US |
| dc.identifier.issn | 2147-3781 | en_US |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.startpage | 48 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12395/40863 | |
| dc.identifier.volume | 1 | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Selçuk Üniversitesi | en_US |
| dc.relation.ispartof | Journal of Selcuk University Natural and Applied Science | en_US |
| dc.relation.publicationcategory | Makale - Ulusal - Editör Denetimli Dergi | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.selcuk | 20240510_oaig | en_US |
| dc.subject | Goodness of fit | en_US |
| dc.subject | Jeffreys’ divergence | en_US |
| dc.subject | Kullback-Leibler divergence | en_US |
| dc.subject | Shannon entropy | en_US |
| dc.title | Some applications of Kullback-Leibler and Jeffreys’ divergences in multinomial populations | en_US |
| dc.type | Article | en_US |
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