Mathematics (Dec 2023)

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

  • Mohamed A. Abd Elgawad,
  • Haroon M. Barakat,
  • Metwally A. Alawady,
  • Doaa A. Abd El-Rahman,
  • Islam A. Husseiny,
  • Atef F. Hashem,
  • Naif Alotaibi

DOI
https://doi.org/10.3390/math11244934
Journal volume & issue
Vol. 11, no. 24
p. 4934

Abstract

Read online

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