Analyzing symmetric distributions by utilizing extropy measures based on order statistics

Husseiny, I.A.; Barakat, H.M.; Nagy, M.; Mansi, A.H.

doi:10.1016/j.jrras.2024.101100

Journal of Radiation Research and Applied Sciences

2024

DOI: 10.1016/j.jrras.2024.101100

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Analyzing symmetric distributions by utilizing extropy measures based on order statistics

I.A. Husseiny,

H.M. Barakat,

M. Nagy

et al.

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2024

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Cumulative entropy properties of consecutive systems

Alshehri,

Kayid

2024

MATH

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<p>We investigated certain properties of cumulative entropy related to the lifetime of consecutive $ k $-out-of-$ n $:F systems. First, we presented a technique to compute the cumulative entropy of the lifetimes of these systems and studied their preservation properties using the established stochastic orders. Furthermore, we derived valuable bounds applicable in cases where the distribution function of component lifetimes is complex or when systems consist of numerous components. To facilitate practical applications, we introduced two nonparametric estimators for the cumulative entropy of these systems. The efficiency and reliability of these estimators were demonstrated using simulated analysis and subsequently validated using real data sets.</p>

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Cumulative entropy properties of consecutive systems

Alshehri,

Kayid

2024

MATH

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Analyzing symmetric distributions by utilizing extropy measures based on order statistics

Cited by 1 publication

References 28 publications

Cumulative entropy properties of consecutive systems

Cumulative entropy properties of consecutive systems

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