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...

Full description

Bibliographic Details
Main Authors: Saeid Tahmasebi, Ahmad Keshavarz, Maria Longobardi, Reza Mohammadi
Format: Article
Language:English
Published: MDPI AG 2020-02-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/2/316
_version_ 1811187575246815232
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.
first_indexed 2024-04-11T14:04:43Z
format Article
id doaj.art-48037838bbd24cde81d4da9a91ce69dc
institution Directory Open Access Journal
issn 2073-8994
language English
last_indexed 2024-04-11T14:04:43Z
publishDate 2020-02-01
publisher MDPI AG
record_format Article
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
work_keys_str_mv AT saeidtahmasebi ashiftdependentmeasureofextendedcumulativeentropyanditsapplicationsinblindimagequalityassessment
AT ahmadkeshavarz ashiftdependentmeasureofextendedcumulativeentropyanditsapplicationsinblindimagequalityassessment
AT marialongobardi ashiftdependentmeasureofextendedcumulativeentropyanditsapplicationsinblindimagequalityassessment
AT rezamohammadi ashiftdependentmeasureofextendedcumulativeentropyanditsapplicationsinblindimagequalityassessment
AT saeidtahmasebi shiftdependentmeasureofextendedcumulativeentropyanditsapplicationsinblindimagequalityassessment
AT ahmadkeshavarz shiftdependentmeasureofextendedcumulativeentropyanditsapplicationsinblindimagequalityassessment
AT marialongobardi shiftdependentmeasureofextendedcumulativeentropyanditsapplicationsinblindimagequalityassessment
AT rezamohammadi shiftdependentmeasureofextendedcumulativeentropyanditsapplicationsinblindimagequalityassessment