On weighted cumulative residual extropy and weighted negative cumulative extropy
Statistics, 2022 In this paper, we define general weighted cumulative residual extropy (GWCRJ) and general weighted negative cumulative extropy (GWNCJ). We obtain its simple estimators for complete and right censored data. We obtain some results on GWCREJ and GWNCJ. We establish its connection to reliability theory and coherent systems.
Gupta, Nitin +2 more
core +4 more sources
Further properties of Tsallis extropy and some of its related measures [PDF]
AIMS Mathematics, 2023 This article introduces the concept of residual and past Tsallis extropy as a continuous information measure within the context of continuous distribution. Moreover, the characteristics and their relationships with other models are evaluated.
Mohamed Said Mohamed +3 more
doaj +3 more sources
Communications in Statistics - Theory and Methods, 2023 21 ...
Chaudhary, Santosh Kumar, Gupta, Nitin
openaire +3 more sources
Stochastic inequalities involving past extropy of order statistics and past extropy of record values [PDF]
AIMS MathematicsRecently, extropy has emerged as an alternative measure of uncertainty instead of entropy. When it comes to quantifying uncertainty regarding the remaining lifetime of a component, entropy has proven to be less effective.
Mansour Shrahili +2 more
doaj +3 more sources
Excess lifetime extropy for a mixed system at the system level [PDF]
AIMS Mathematics, 2023 We consider a mixed system with $ n $ components, where at time $ t, $ all system components are functioning. We then use the system signature to evaluate the extropy of the excess lifetime of the mixed system, which is a useful criterion for predicting ...
Mohamed Kayid , Mashael A. Alshehri
doaj +3 more sources
Modeling of lifetime scenarios with non-monotonic failure rates. [PDF]
PLoS OneThe Weibull distribution is an important continuous distribution that is cardinal in reliability analysis and lifetime modeling. On the other hand, it has several limitations for practical applications, such as modeling lifetime scenarios with non ...
Alahmadi AA +6 more
europepmc +2 more sources
Impact of Measurement Error on Residual Extropy Estimation
AxiomsIn scientific analyses, measurement errors in data can significantly impact statistical inferences, and ignoring them may lead to biased and invalid results.
Radhakumari Maya +3 more
doaj +2 more sources
Analyzing the cumulative residual extropy of system inactivity times and revealing system complexity
Journal of Inequalities and ApplicationsIn this paper, we adopt a theoretical framework rooted in information theory, specifically focusing on cumulative residual extropy, to examine and contrast the times of system inactivity across multiple setups.
Zohreh Pakdaman, Reza Alizadeh Noughabi
doaj +2 more sources
Weighted Cumulative Past Extropy and Its Inference. [PDF]
Entropy (Basel), 2022 This paper introduces and studies a new generalization of cumulative past extropy called weighted cumulative past extropy (WCPJ) for continuous random variables.
Kazemi MR, Hashempour M, Longobardi M.
europepmc +5 more sources
Bivariate Epanechnikov-Weibull distribution based on Sarmanov copula: properties, simulation, and uncertainty measures with applications [PDF]
AIMS MathematicsThe modeling of bivariate data in statistics often requires constructing families of bivariate distributions with predefined marginals. In this study, we introduced a novel bivariate distribution, denoted as EP-WD-SAR, which combines the Sarmanov (SAR ...
G. M. Mansour +6 more
doaj +3 more sources