Some Characterization Results on Dynamic Cumulative Residual Tsallis Entropy
We propose a generalized cumulative residual information measure based on Tsallis entropy and its dynamic version. We study the characterizations of the proposed information measure and define new classes of life distributions based on this measure. Some applications are provided in relation to weig...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2015/694203 |
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| _version_ | 1832550686884102144 |
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| author | Madan Mohan Sati Nitin Gupta |
| author_facet | Madan Mohan Sati Nitin Gupta |
| author_sort | Madan Mohan Sati |
| collection | DOAJ |
| description | We propose a generalized cumulative residual information measure based on Tsallis entropy and its dynamic version. We study the characterizations of the proposed information measure and define new classes of life distributions based on this measure. Some applications are provided in relation to weighted and equilibrium probability models. Finally the empirical cumulative Tsallis entropy is proposed to estimate the new information measure. |
| format | Article |
| id | doaj-art-34b3cda426c941938943d00ac477d6b5 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-34b3cda426c941938943d00ac477d6b52025-02-03T06:06:08ZengWileyJournal of Probability and Statistics1687-952X1687-95382015-01-01201510.1155/2015/694203694203Some Characterization Results on Dynamic Cumulative Residual Tsallis EntropyMadan Mohan Sati0Nitin Gupta1Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Himachal Pradesh 173234, IndiaDepartment of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, IndiaWe propose a generalized cumulative residual information measure based on Tsallis entropy and its dynamic version. We study the characterizations of the proposed information measure and define new classes of life distributions based on this measure. Some applications are provided in relation to weighted and equilibrium probability models. Finally the empirical cumulative Tsallis entropy is proposed to estimate the new information measure.http://dx.doi.org/10.1155/2015/694203 |
| spellingShingle | Madan Mohan Sati Nitin Gupta Some Characterization Results on Dynamic Cumulative Residual Tsallis Entropy Journal of Probability and Statistics |
| title | Some Characterization Results on Dynamic Cumulative Residual Tsallis Entropy |
| title_full | Some Characterization Results on Dynamic Cumulative Residual Tsallis Entropy |
| title_fullStr | Some Characterization Results on Dynamic Cumulative Residual Tsallis Entropy |
| title_full_unstemmed | Some Characterization Results on Dynamic Cumulative Residual Tsallis Entropy |
| title_short | Some Characterization Results on Dynamic Cumulative Residual Tsallis Entropy |
| title_sort | some characterization results on dynamic cumulative residual tsallis entropy |
| url | http://dx.doi.org/10.1155/2015/694203 |
| work_keys_str_mv | AT madanmohansati somecharacterizationresultsondynamiccumulativeresidualtsallisentropy AT nitingupta somecharacterizationresultsondynamiccumulativeresidualtsallisentropy |