On extropy properties of mixed systems

G Qiu, L Wang, X Wang - Probability in the Engineering and …, 2019‏ - cambridge.org
An expression of the extropy of a mixed system's lifetime was given firstly. Based on this
expression, two mixed systems with same signature but with different components were …

Further properties of Tsallis entropy and its application

G Alomani, M Kayid - Entropy, 2023‏ - mdpi.com
The entropy of Tsallis is a different measure of uncertainty for the Shannon entropy. The
present work aims to study some additional properties of this measure and then initiate its …

Rényi entropy for past lifetime distributions with application in inactive coherent systems

M Kayid, M Shrahili - Symmetry, 2023‏ - mdpi.com
In parallel with the concept of Rényi entropy for residual lifetime distributions, the Rényi
entropy of inactivity time of lifetime distributions belonging to asymmetric distributions is a …

[HTML][HTML] Tsallis entropy for the past lifetime distribution with application

M Kayid, MA Alshehri - Axioms, 2023‏ - mdpi.com
A fundamental factor in relevant applications is the predictability of the life cycle of a
coherent system consisting of more than one component. In this context, we examine how …

Tsallis entropy of a used reliability system at the system level

M Kayid, MA Alshehri - Entropy, 2023‏ - mdpi.com
Measuring the uncertainty of the lifetime of technical systems has become increasingly
important in recent years. This criterion is useful to measure the predictability of a system …

On cumulative residual extropy of coherent and mixed systems

S Chakraborty, B Pradhan - Annals of Operations Research, 2024‏ - Springer
In system reliability, coherent systems play a central role since without them any system is
considered flawed. A system is coherent if all the components are relevant to that system ie …

Renyi Entropy of the Residual Lifetime of a Reliability System at the System Level

M Mesfioui, M Kayid, M Shrahili - Axioms, 2023‏ - mdpi.com
The measurement of uncertainty across the lifetimes of engineering systems has drawn
more attention in recent years. It is a helpful metric for assessing how predictable a system's …

[HTML][HTML] Cumulative Residual Entropy of the Residual Lifetime of a Mixed System at the System Level

M Kayid, MA Alshehri - Entropy, 2023‏ - mdpi.com
Recently, there has been growing interest in alternative measures of uncertainty, including
cumulative residual entropy. In this paper, we consider a mixed system consisting of n …

Properties, Bounds, and Estimation of Rényi Entropy in Consecutive k‐out‐of‐n:G Systems

M Shrahili - Journal of Mathematics, 2024‏ - Wiley Online Library
This study investigates the Renyi entropy properties of consecutive k‐out‐of‐n: G systems.
Initially, a formula for the Renyi entropy of the lifetime of a consecutive k‐out‐of‐n: G system …

[HTML][HTML] Cumulative Entropy of Past Lifetime for Coherent Systems at the System Level

M Shrahili, M Kayid - Axioms, 2023‏ - mdpi.com
This paper explores the cumulative entropy of the lifetime of an n-component coherent
system, given the precondition that all system components have experienced failure at time …