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

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 weight...

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Bibliographic Details
Published in:	Mathematics (Basel) Vol. 11; no. 24; p. 4934
Main Authors:	Abd Elgawad, Mohamed A. Abd, Barakat, Haroon M., Alawady, Metwally A., Abd El-Rahman, Doaa A. Abd, Husseiny, Islam A., Hashem, Atef F., Alotaibi, Naif
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01-12-2023
Subjects:	Approximation concomitants FGM family K-record values non-parametric estimation Random variables weighted negative cumulative extropy weighted negative cumulative residual extropy
Online Access:	Get full text
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Summary:	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.
ISSN:	2227-7390 2227-7390
DOI:	10.3390/math11244934