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Extropy and statistical features of dual generalized order statistics’ concomitants arising from the Sarmanov family

  • Mohamed A. Abd Elgawad EMAIL logo , Islam A. Husseiny , Haroon M. Barakat , Ghada M. Mansour , Hatem Semary , Atef F. Hashem , Salem A. Alyami and Metwally A. Alawady
Published/Copyright: October 15, 2024
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Abstract

In this study, we disclose several statistical properties of concomitants of dual generalized order statistics (DGOSs) under a generic setting from the Sarmanov family of bivariate distributions. For this family, cross-moments and joint distributions of concomitants of DGOSs are explored. These results' implications for order statistics and record values are examined. Extropy and cumulative residual extropy (CRE), two well-known information measures, are also investigated. This study offers a few beautiful symmetrical relationships that these inaccuracy measurements satisfy. In addition, based on the concomitants of DGOSs, the issue of estimating the negative cumulative residual extropy (NCRE), empirical NCRE and NCE are investigated using the empirical technique. Lastly, a set of bivariate data from the real world is examined.

MSC 2010: 60B12; 62G30

This work was supported and funded by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU) (grant number IMSIU-RPP2023136)


Acknowledgement

The authors are grateful to the anonymous reviewers for their careful and diligent reading, which improves the readability and presentation substantially.

  1. Communicated by Gejza Wimmer

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Received: 2024-01-12
Accepted: 2024-04-29
Published Online: 2024-10-15
Published in Print: 2024-10-28

© 2024 Mathematical Institute Slovak Academy of Sciences

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