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Statistics & Probability Letters
Article . 2024 . Peer-reviewed
License: Elsevier TDM
Data sources: Crossref
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zbMATH Open
Article . 2024
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https://dx.doi.org/10.48550/ar...
Article . 2024
License: CC BY
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Further results involving residual and past extropy with their applications

Authors: Mohamed Kayid;

Further results involving residual and past extropy with their applications

Abstract

In this paper we focus on the study of the monotonicity properties of the residual and the past extropy as well as on some characterization problems. We then apply the derived results to analyze further stochastic aspects of order statistics, coherent systems, and record values. Using various examples, we illustrate the applicability and significance of the results obtained. In addition, non-parametric estimators for the residual and past extropy measures are introduced. The performance of the acquired estimators has been illustrated using simulated data sets and also real data sets.

Keywords

records, coherent systems, residual extropy, past extropy, Mathematics - Statistics Theory, Statistics Theory (math.ST), Statistical aspects of information-theoretic topics, order statistics, Characterization and structure theory of statistical distributions, FOS: Mathematics, Order statistics; empirical distribution functions, Nonparametric hypothesis testing

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
Green