Interval Entropy and Informative Distance
The Shannon interval entropy function as a useful dynamic measure of uncertainty for two sided truncated random variables has been proposed in the literature of reliability. In this paper, we show that interval entropy can uniquely determine the distribution function. Furthermore, we propose a measu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2012-03-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/14/3/480/ |
| _version_ | 1828364266937253888 |
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| author | Fakhroddin Misagh Gholamhossein Yari |
| author_facet | Fakhroddin Misagh Gholamhossein Yari |
| author_sort | Fakhroddin Misagh |
| collection | DOAJ |
| description | The Shannon interval entropy function as a useful dynamic measure of uncertainty for two sided truncated random variables has been proposed in the literature of reliability. In this paper, we show that interval entropy can uniquely determine the distribution function. Furthermore, we propose a measure of discrepancy between two lifetime distributions at the interval of time in base of Kullback-Leibler discrimination information. We study various properties of this measure, including its connection with residual and past measures of discrepancy and interval entropy, and we obtain its upper and lower bounds. |
| first_indexed | 2024-04-14T05:13:16Z |
| format | Article |
| id | doaj.art-0a5cc878a778410abd69333777b465b5 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T05:13:16Z |
| publishDate | 2012-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-0a5cc878a778410abd69333777b465b52022-12-22T02:10:28ZengMDPI AGEntropy1099-43002012-03-0114348049010.3390/e14030480Interval Entropy and Informative DistanceFakhroddin MisaghGholamhossein YariThe Shannon interval entropy function as a useful dynamic measure of uncertainty for two sided truncated random variables has been proposed in the literature of reliability. In this paper, we show that interval entropy can uniquely determine the distribution function. Furthermore, we propose a measure of discrepancy between two lifetime distributions at the interval of time in base of Kullback-Leibler discrimination information. We study various properties of this measure, including its connection with residual and past measures of discrepancy and interval entropy, and we obtain its upper and lower bounds.http://www.mdpi.com/1099-4300/14/3/480/uncertaintydiscrepancycharacterization |
| spellingShingle | Fakhroddin Misagh Gholamhossein Yari Interval Entropy and Informative Distance Entropy uncertainty discrepancy characterization |
| title | Interval Entropy and Informative Distance |
| title_full | Interval Entropy and Informative Distance |
| title_fullStr | Interval Entropy and Informative Distance |
| title_full_unstemmed | Interval Entropy and Informative Distance |
| title_short | Interval Entropy and Informative Distance |
| title_sort | interval entropy and informative distance |
| topic | uncertainty discrepancy characterization |
| url | http://www.mdpi.com/1099-4300/14/3/480/ |
| work_keys_str_mv | AT fakhroddinmisagh intervalentropyandinformativedistance AT gholamhosseinyari intervalentropyandinformativedistance |