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

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.

Results on the Fractional Cumulative Residual Entropy of Coherent Systems

“…Longobardi (2014) obtained more results of CE and stochastic orders. Tahmasebi et al (2020) studied on a shift-dependent measure of CE and its applications in blind image quality assessment. Ubriaco (2009) dened a new entropy based on fractional calculus as follows:…”