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Article

A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality Assessment

1
Department of Statistics, Persian Gulf University, Bushehr 7516913817, Iran
2
Department of Electrical Engineering and the ICT Research Institute, Persian Gulf University, Bushehr 7516913817, Iran
3
Dipartimento di Matematica e Applicazioni Universita di Napoli Federico II, I-80126 Napoli, Italy
4
Department of Operation Management, Amsterdam Business School, University of Amsterdam, 1018 TV Amsterdam, The Netherlands
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(2), 316; https://doi.org/10.3390/sym12020316
Submission received: 23 December 2019 / Revised: 11 February 2020 / Accepted: 18 February 2020 / Published: 23 February 2020

Abstract

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.
Keywords: extended cumulative entropy; image quality assessment; past lifetime; Rényi entropy extended cumulative entropy; image quality assessment; past lifetime; Rényi entropy

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MDPI and ACS Style

Tahmasebi, S.; Keshavarz, A.; Longobardi, M.; Mohammadi, R. A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality Assessment. Symmetry 2020, 12, 316. https://doi.org/10.3390/sym12020316

AMA Style

Tahmasebi S, Keshavarz A, Longobardi M, Mohammadi R. A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality Assessment. Symmetry. 2020; 12(2):316. https://doi.org/10.3390/sym12020316

Chicago/Turabian Style

Tahmasebi, Saeid, Ahmad Keshavarz, Maria Longobardi, and Reza Mohammadi. 2020. "A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality Assessment" Symmetry 12, no. 2: 316. https://doi.org/10.3390/sym12020316

APA Style

Tahmasebi, S., Keshavarz, A., Longobardi, M., & Mohammadi, R. (2020). A Shift-Dependent Measure of Extended Cumulative Entropy and Its Applications in Blind Image Quality Assessment. Symmetry, 12(2), 316. https://doi.org/10.3390/sym12020316

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