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Mathematics
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Mathematics
Article . 2023
Data sources: DOAJ
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Extropy and Some of Its More Recent Related Measures for Concomitants of K-Record Values in an Extended FGM Family

descriptionPublicationkeyboard_double_arrow_right Article 12 Dec 2023 English Publisher:MDPI AGJournal:Mathematics, volume 11, page 4,934 (eissn: 2227-7390, Copyright policy )
Authors: Mohamed A. Abd Abd Elgawad; Haroon M. Barakat; Metwally A. Alawady; Doaa A. Abd Abd El-Rahman; Islam A. Husseiny; Atef F. Hashem; Naif Alotaibi;

doi: 10.3390/math11244934

Extropy and Some of Its More Recent Related Measures for Concomitants of K-Record Values in an Extended FGM Family

Abstract

This study uses an effective, recently extended Farlie–Gumbel–Morgenstern (EFGM) family to derive the distribution of concomitants of K-record upper values (CKRV). For this CKRV, the negative cumulative residual extropy (NCREX), weighted NCREX (WNCREX), negative cumulative extropy (NCEX), and weighted NCEX (WNCEX) are theoretically and numerically examined. This study presents several beautiful symmetrical and asymmetric relationships that these inaccuracy measurements satisfy. Additionally, empirical estimations are provided for these measures, and their visualizations enable users to verify their accuracy.

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Keywords

FGM family, concomitants, weighted negative cumulative residual extropy, QA1-939, non-parametric estimation, weighted negative cumulative extropy, Mathematics, K-record values

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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!
6
Top 10%
Average
Top 10%
gold