On the dynamic survival entropy

Abbasnejad, M.; Arghami, Nasser Reza; Morgenthaler, Stephan; Borzadaran, Gholam Reza Mohtashami

doi:10.1016/j.spl.2010.08.026

Cited by 34 publications

(24 citation statements)

References 16 publications

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“…The difference between two lower bounds is E α (X) + 1/(α − 1) log E(X 1:n ) = 1/{β(α − 1)} log α/n < 0, ∀ 1 < α < n. So, for 1 < α < n, the lower bound of Abbasnejad et al (2010) is sharper.…”

Section: Characterization Based On Se and Dse Of First Order Statisticmentioning

confidence: 98%

“…Asadi and Zohrevand (2007) proposed the dynamic cumulative residual entropy. Abbasnejad et al (2010) introduced the dynamic survival entropy of order α. This is defined as…”

Section: Theorem 3 Under the Assumptions Of Theorem 1 F And G Belonmentioning

confidence: 99%

“…Abbasnejad et al (2010) proposed dynamic survival entropy(DSE) and showed how DSE are connected with the mean residual life function. Di Crescenzo and Longobardi (2009) introduced a new measure of information similar to CRE, called it cumulative entropy(CE).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Some Characterization Results Based on Dynamic Survival and Failure Entropies

Abbasnejad¹

2011

Communications for Statistical Applications and Methods

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In this paper, we develop some characterization results in terms of survival entropy of the first order statistic. In addition, we generalize the cumulative entropy recently proposed by Di Crescenzo and Logobardi (2009) to a new measure of information (called the failure entropy) and study some properties of it and its dynamic version. Furthermore, power distribution is characterized based on dynamic failure entropy.

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Section: Characterization Based On Se and Dse Of First Order Statisticmentioning

confidence: 98%

“…Asadi and Zohrevand (2007) proposed the dynamic cumulative residual entropy. Abbasnejad et al (2010) introduced the dynamic survival entropy of order α. This is defined as…”

Section: Theorem 3 Under the Assumptions Of Theorem 1 F And G Belonmentioning

confidence: 99%

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Some Characterization Results Based on Dynamic Survival and Failure Entropies

Abbasnejad¹

2011

Communications for Statistical Applications and Methods

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“…Recent contributions on the entropy of residual lifetimes are given in [1]. Other dynamic information measures involving conditional lifetimes have been proposed and studied in [3], [9], and [27].…”

Section: Mutual Information For Residual Lifetimesmentioning

confidence: 99%

On dynamic mutual information for bivariate lifetimes

2015

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We consider dynamic versions of the mutual information of lifetime distributions, with a focus on past lifetimes, residual lifetimes and mixed lifetimes evaluated at different instants. This allows us to study multicomponent systems, by measuring the dependence in conditional lifetimes of two components having possibly different ages. We provide some bounds, and investigate the mutual information of residual lifetimes within the time-transformed exponential model (under both the assumptions of unbounded and truncated lifetimes). Moreover, with reference to the order statistics of a random sample, we evaluate explicitly the mutual information between the minimum and the maximum, conditional on inspection at different times, and show that it is distribution-free in a special case. Finally, we develop a copula-based approach aiming to express the dynamic mutual information for past and residual bivariate lifetimes in an alternative way.

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“…Asadi and Zohrevand (2007) proposed a dynamic form of CRE and obtain some properties of it. Analogous to Renyi entropy, Zografos and Nadarajah (2005) introduced survival entropy (SE) of order α as Abbasnejad et al (2010) proposed a dynamic version of the SE of order α. In analogy to CRE, Di Crescenzo and Longobardi (2009) introduced a new measure, namely cumulative entropy (CE) as f ε(X) = − ∫ ∞ 0 F (x) ln F (x)dx.…”

Section: Introductionmentioning

confidence: 99%

On generalized dynamic survival and failure entropies of order(α,β)

Kayal

2015

Statistics & Probability Letters

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On the dynamic survival entropy

Cited by 34 publications

References 16 publications

Some Characterization Results Based on Dynamic Survival and Failure Entropies

Some Characterization Results Based on Dynamic Survival and Failure Entropies

On dynamic mutual information for bivariate lifetimes

On generalized dynamic survival and failure entropies of order(α,β)

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