Extropy and Some of Its More Recent Related Measures for Concomitants of K-Record Values in an Extended FGM Family-Reference-Cited by-同舟云学术

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

Published:2023-12-12 Issue:24 Volume:11 Page:4934
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Abd Elgawad Mohamed A. Abd¹²^ORCID,Barakat Haroon M.³,Alawady Metwally A.³^ORCID,Abd El-Rahman Doaa A. Abd⁴,Husseiny Islam A.³,Hashem Atef F.¹⁵^ORCID,Alotaibi Naif¹

Affiliation:

1. Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

3. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt

4. Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, Egypt

5. Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef 62511, Egypt

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.

Funder

Imam Mohammad Ibn Saud Islamic University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/24/4934/pdf

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