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

Mohamed A. Abd Elgawad (moaasalem@imamu.edu.sa), Haroon M. Barakat, Metwally A. Alawady, Doaa A. Abd El-Rahman, Islam A. Husseiny, Atef F. Hashem and Naif Alotaibi
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Mohamed A. Abd Elgawad: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
Haroon M. Barakat: Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt
Metwally A. Alawady: Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt
Doaa A. Abd El-Rahman: Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, Egypt
Islam A. Husseiny: Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt
Atef F. Hashem: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
Naif Alotaibi: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia

Mathematics, 2023, vol. 11, issue 24, 1-25

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.

Keywords: FGM family; concomitants; K-record values; weighted negative cumulative residual extropy; weighted negative cumulative extropy; non-parametric estimation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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