An extension of weighted generalized cumulative past measure of information

Tahmasebi, Saeid; Longobardi, Maria; Foroghi, Farid; Lak, Fazlollah

doi:10.1007/s11587-019-00448-w

Cited by 11 publications

(16 citation statements)

References 26 publications

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“…In analogy with (36), Misagh et al [30] proposed an alternative weighted measure called weighted cumulative entropy (WCE) and based on the distribution function F(x) instead of the PDF f (x) in (36), defined by…”

Section: Weighted Generalized Cumulative Entropymentioning

confidence: 99%

“…with T (x) defined in (35). Recently, the WCE was extended by Tahmasebi et al [36] to the weighted generalized cumulative entropy (WGCE) given by…”

Section: Weighted Generalized Cumulative Entropymentioning

confidence: 99%

“…In particular by taking φ (x) ≡ 1 in (38), we immediately derive the generalized cumulative entropy (GCE) introduced by Kayal [23]. Several results on weighted entropies are investigated and discussed in Mirali and Baratpour [29], Misagh et al [30], Suhov and Yasaei Sekeh [35] and Tahmasebi [36]. Despite the various investigations of these measures, the analysis of their exact meaning and interpretation can still be improved.…”

Section: Weighted Generalized Cumulative Entropymentioning

confidence: 99%

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Weighted mean inactivity time function with applications

Crescenzo¹,

Toomaj²

2021

Preprint

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The concept of mean inactivity time plays a crucial role in reliability, risk theory and life testing. In this regard, we introduce a weighted mean inactivity time function by considering a non-negative weight function. Based on this function, we provide expressions for the variance of transformed random variable and the weighted generalized cumulative entropy. The latter concept is an important measure of uncertainty which is shift-dependent and is of interest in certain applied contexts, such as reliability or mathematical neurobiology. Moreover, based on the comparison of mean inactivity times of a certain function of two lifetime random variables, we introduce and study a new stochastic order in terms of the weighted mean inactivity time function. Several characterizations and preservation properties of the new order under shock models, random maxima and renewal theory are discussed.

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Section: Weighted Generalized Cumulative Entropymentioning

confidence: 99%

“…with T (x) defined in (35). Recently, the WCE was extended by Tahmasebi et al [36] to the weighted generalized cumulative entropy (WGCE) given by…”

Section: Weighted Generalized Cumulative Entropymentioning

confidence: 99%

Section: Weighted Generalized Cumulative Entropymentioning

confidence: 99%

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Weighted mean inactivity time function with applications

Crescenzo¹,

Toomaj²

2021

Preprint

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“…. Note that CE w n,k (F m ) → CE w n,k (F) as m → ∞ (see Theorem 14 of Tahmasebi et al [9]). In the following example we present applications of CE w n,k (F m ) in blind image quality assessment.…”

mentioning

confidence: 94%

“…Moharana and Kayal [8] obtained some results on the weighted extended cumulative residual entropy of k-th upper record values. Tahmasebi et al [9] considered a shift-dependent measure of generalized cumulative entropy and its dynamic version in the case where the weight is a general non-negative function. An important concept of ordered random variables which arises in many areas of applications is the concept of record values.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2020

Self Cite

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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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Weighted fractional generalized cumulative past entropy and its properties

Kayal

2023

Methodol Comput Appl Probab

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An extension of weighted generalized cumulative past measure of information

Cited by 11 publications

References 26 publications

Weighted mean inactivity time function with applications

Weighted mean inactivity time function with applications

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

Weighted fractional generalized cumulative past entropy and its properties

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