A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality Assessment
Recently, Tahmasebi and Eskandarzadeh introduced a new extended cumulative entropy (ECE). In this paper, we present results on shift-dependent measure of ECE and its dynamic past version. These results contain stochastic order, upper and lower bounds, the symmetry property and some relationships wit...
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Format: | Article |
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MDPI AG
2020-02-01
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Series: | Symmetry |
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Online Access: | https://www.mdpi.com/2073-8994/12/2/316 |
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author | Saeid Tahmasebi Ahmad Keshavarz Maria Longobardi Reza Mohammadi |
author_facet | Saeid Tahmasebi Ahmad Keshavarz Maria Longobardi Reza Mohammadi |
author_sort | Saeid Tahmasebi |
collection | DOAJ |
description | Recently, Tahmasebi and Eskandarzadeh introduced a new extended cumulative entropy (ECE). In this paper, we present results on shift-dependent measure of ECE and its dynamic past version. These results contain stochastic order, upper and lower bounds, the symmetry property and some relationships with other reliability functions. We also discuss some properties of conditional weighted ECE under some assumptions. Finally, we propose a nonparametric estimator of this new measure and study its practical results in blind image quality assessment. |
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institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-04-11T14:04:43Z |
publishDate | 2020-02-01 |
publisher | MDPI AG |
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series | Symmetry |
spelling | doaj.art-48037838bbd24cde81d4da9a91ce69dc2022-12-22T04:19:55ZengMDPI AGSymmetry2073-89942020-02-0112231610.3390/sym12020316sym12020316A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality AssessmentSaeid Tahmasebi0Ahmad Keshavarz1Maria Longobardi2Reza Mohammadi3Department of Statistics, Persian Gulf University, Bushehr 7516913817, IranDepartment of Electrical Engineering and the ICT Research Institute, Persian Gulf University, Bushehr 7516913817, IranDipartimento di Matematica e Applicazioni Universita di Napoli Federico II, I-80126 Napoli, ItalyDepartment of Operation Management, Amsterdam Business School, University of Amsterdam, 1018 TV Amsterdam, The NetherlandsRecently, Tahmasebi and Eskandarzadeh introduced a new extended cumulative entropy (ECE). In this paper, we present results on shift-dependent measure of ECE and its dynamic past version. These results contain stochastic order, upper and lower bounds, the symmetry property and some relationships with other reliability functions. We also discuss some properties of conditional weighted ECE under some assumptions. Finally, we propose a nonparametric estimator of this new measure and study its practical results in blind image quality assessment.https://www.mdpi.com/2073-8994/12/2/316extended cumulative entropyimage quality assessmentpast lifetimer<i>é</i>nyi entropy |
spellingShingle | Saeid Tahmasebi Ahmad Keshavarz Maria Longobardi Reza Mohammadi A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality Assessment Symmetry extended cumulative entropy image quality assessment past lifetime r<i>é</i>nyi entropy |
title | A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality Assessment |
title_full | A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality Assessment |
title_fullStr | A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality Assessment |
title_full_unstemmed | A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality Assessment |
title_short | A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality Assessment |
title_sort | shift dependent measure of extended cumulative entropy and its applications in blind image quality assessment |
topic | extended cumulative entropy image quality assessment past lifetime r<i>é</i>nyi entropy |
url | https://www.mdpi.com/2073-8994/12/2/316 |
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