Jensen–Inaccuracy Information Measure
The purpose of the paper is to introduce the Jensen–inaccuracy measure and examine its properties. Furthermore, some results on the connections between the inaccuracy and Jensen–inaccuracy measures and some other well-known information measures are provided. Moreover, in three different optimization...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/25/3/483 |
| _version_ | 1797611979444060160 |
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| author | Omid Kharazmi Faezeh Shirazinia Francesco Buono Maria Longobardi |
| author_facet | Omid Kharazmi Faezeh Shirazinia Francesco Buono Maria Longobardi |
| author_sort | Omid Kharazmi |
| collection | DOAJ |
| description | The purpose of the paper is to introduce the Jensen–inaccuracy measure and examine its properties. Furthermore, some results on the connections between the inaccuracy and Jensen–inaccuracy measures and some other well-known information measures are provided. Moreover, in three different optimization problems, the arithmetic mixture distribution provides optimal information based on the inaccuracy information measure. Finally, two real examples from image processing are studied and some numerical results in terms of the inaccuracy and Jensen–inaccuracy information measures are obtained. |
| first_indexed | 2024-03-11T06:35:01Z |
| format | Article |
| id | doaj.art-739a89f2bfde4d888fb6396bb3bc4703 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-11T06:35:01Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-739a89f2bfde4d888fb6396bb3bc47032023-11-17T10:56:48ZengMDPI AGEntropy1099-43002023-03-0125348310.3390/e25030483Jensen–Inaccuracy Information MeasureOmid Kharazmi0Faezeh Shirazinia1Francesco Buono2Maria Longobardi3Department of Statistics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan 7718897111, IranDepartment of Statistics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan 7718897111, IranDipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Università degli Studi di Napoli Federico II, 80138 Naples, ItalyDipartimento di Biologia, Università degli Studi di Napoli Federico II, 80138 Naples, ItalyThe purpose of the paper is to introduce the Jensen–inaccuracy measure and examine its properties. Furthermore, some results on the connections between the inaccuracy and Jensen–inaccuracy measures and some other well-known information measures are provided. Moreover, in three different optimization problems, the arithmetic mixture distribution provides optimal information based on the inaccuracy information measure. Finally, two real examples from image processing are studied and some numerical results in terms of the inaccuracy and Jensen–inaccuracy information measures are obtained.https://www.mdpi.com/1099-4300/25/3/483Jensen–inaccuracy measureinaccuracy measureoptimal informationRényi entropyaverage entropy |
| spellingShingle | Omid Kharazmi Faezeh Shirazinia Francesco Buono Maria Longobardi Jensen–Inaccuracy Information Measure Entropy Jensen–inaccuracy measure inaccuracy measure optimal information Rényi entropy average entropy |
| title | Jensen–Inaccuracy Information Measure |
| title_full | Jensen–Inaccuracy Information Measure |
| title_fullStr | Jensen–Inaccuracy Information Measure |
| title_full_unstemmed | Jensen–Inaccuracy Information Measure |
| title_short | Jensen–Inaccuracy Information Measure |
| title_sort | jensen inaccuracy information measure |
| topic | Jensen–inaccuracy measure inaccuracy measure optimal information Rényi entropy average entropy |
| url | https://www.mdpi.com/1099-4300/25/3/483 |
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